EXERCISES/Exercises_Lecture_02.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lecture II: EXERCISES\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Write a program that asks you: \"Are you a member of the SCN2?\" and lets you enter an answer. If the answer is **yes**, print: *'Fantastic!!!'*. For any other answer print: *'This is not the correct answer'* and keep asking the question until you give **yes** as and answer."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ets de la SCN2? no\n",
      "This is not the correct answer\n",
      "Ets de la SCN2? yes\n",
      "Fantastic!!!\n"
     ]
    }
   ],
   "source": [
    "answer = \"\"\n",
    "while answer != \"yes\":\n",
    "    answer = input(\"Ets de la SCN2? \")\n",
    "    if answer == \"yes\":\n",
    "        print(\"Fantastic!!!\")\n",
    "    else:\n",
    "        print(\"This is not the correct answer\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Write a program that by using `print('* ')` shows the following patern for a fixed maximum number of `*` in a line."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='Figures/PYTHON.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clue: Split the patern in two parts, first the top trinagle and then the other"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='Figures/triangle.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "* \n",
      "* * \n",
      "* * * \n",
      "* * * * \n",
      "* * * * * \n",
      "* * * * * * \n",
      "* * * * * * * \n",
      "* * * * * * * * \n",
      "* * * * * * * \n",
      "* * * * * * \n",
      "* * * * * \n",
      "* * * * \n",
      "* * * \n",
      "* * \n",
      "* \n"
     ]
    }
   ],
   "source": [
    "n=8\n",
    "for i in range(n+1):\n",
    "    row=''\n",
    "    for j in range(i):\n",
    "        row += '* '\n",
    "    print(row)\n",
    "for i in range(n-1,0,-1):\n",
    "    row=''\n",
    "    for j in range(i):\n",
    "        row += '* '\n",
    "    print(row)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Do the same exercise first only using the loop `while` and then by using `for`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given the list `l = [[1,2],[23,5,8],[1,1],[5,3,1,12,3]]` write a program that for each sublist obtains a value by multiplying and adding the elements of the sublist alternately (starting with multiplication). Gather all of them in another list."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Exemple:*\n",
    "\n",
    "for [1,2] it would be $1*2=2$\n",
    "\n",
    "for [23,5,8,3] it would be $((23*5)+8)*3$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 123, 1, 195]\n"
     ]
    }
   ],
   "source": [
    "l = [[1,2],[23,5,8],(1,1),[5,3,1,12,3]]\n",
    "i = 0\n",
    "new_list = []\n",
    "while i<len(l):\n",
    "    j = 0\n",
    "    multi = True\n",
    "    new_value = l[i][j]\n",
    "    while j<len(l[i])-1:\n",
    "        if multi:\n",
    "            new_value *= l[i][j+1]\n",
    "            multi = False\n",
    "        else:\n",
    "            new_value += l[i][j+1]\n",
    "            multi = True\n",
    "        j+=1\n",
    "    new_list.append(new_value)\n",
    "    i+=1\n",
    "print(new_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 123, 1, 195]\n"
     ]
    }
   ],
   "source": [
    "l = [[1,2],[23,5,8],(1,1),[5,3,1,12,3]]\n",
    "new_list = []\n",
    "for i in l:\n",
    "    new_value = 0\n",
    "    multi = False\n",
    "    for j in i:\n",
    "        if multi:\n",
    "            new_value = new_value*j\n",
    "            multi = False\n",
    "        else:\n",
    "            new_value = new_value+j\n",
    "            multi = True\n",
    "    new_list.append(new_value)\n",
    "print(new_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercice 4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " * Find all of the numbers from 1-1000 that are divisible by 7\n",
    " * Find all of the numbers from 1-1000 that have a 3 in them\n",
    " * Count the number of spaces in a string\n",
    " * Remove all of the vowels in a string\n",
    " * Create the follwing matrix: [[0, 1, 2, 3, 4], [0, 1, 2, 3, 4], [0, 1, 2, 3, 4], [0, 1, 2, 3, 4], [0, 1, 2, 3, 4]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693, 700, 707, 714, 721, 728, 735, 742, 749, 756, 763, 770, 777, 784, 791, 798, 805, 812, 819, 826, 833, 840, 847, 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, 924, 931, 938, 945, 952, 959, 966, 973, 980, 987, 994]\n"
     ]
    }
   ],
   "source": [
    "l=[]\n",
    "for i in range(1,1001):\n",
    "    if i%7==0:\n",
    "        l.append(i)\n",
    "print(l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357, 364, 371, 378, 385, 392, 399, 406, 413, 420, 427, 434, 441, 448, 455, 462, 469, 476, 483, 490, 497, 504, 511, 518, 525, 532, 539, 546, 553, 560, 567, 574, 581, 588, 595, 602, 609, 616, 623, 630, 637, 644, 651, 658, 665, 672, 679, 686, 693, 700, 707, 714, 721, 728, 735, 742, 749, 756, 763, 770, 777, 784, 791, 798, 805, 812, 819, 826, 833, 840, 847, 854, 861, 868, 875, 882, 889, 896, 903, 910, 917, 924, 931, 938, 945, 952, 959, 966, 973, 980, 987, 994]\n"
     ]
    }
   ],
   "source": [
    "l=[2*i+7 for i in range(1,1001) if i%7==0]\n",
    "print(l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'8'"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a=89765\n",
    "l=str(a)\n",
    "l=['8', '9', '7', '6']\n",
    "\n",
    "'7' in l"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 13, 23, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 43, 53, 63, 73, 83, 93, 103, 113, 123, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 143, 153, 163, 173, 183, 193, 203, 213, 223, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 243, 253, 263, 273, 283, 293, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 403, 413, 423, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 443, 453, 463, 473, 483, 493, 503, 513, 523, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 543, 553, 563, 573, 583, 593, 603, 613, 623, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 643, 653, 663, 673, 683, 693, 703, 713, 723, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 743, 753, 763, 773, 783, 793, 803, 813, 823, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 843, 853, 863, 873, 883, 893, 903, 913, 923, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 943, 953, 963, 973, 983, 993]\n"
     ]
    }
   ],
   "source": [
    "l=[i for i in range(1,1001) if '3' in str(i)]\n",
    "print(l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7\n"
     ]
    }
   ],
   "source": [
    "phrase = 'Tomato and rice. Have you had that before?'\n",
    "print( len([i for i in phrase if i==' ']) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['T', 'h', 's', ' ', 't', 'm', ' ', 's', ' ', 'n', 'v', 'l', 'b', 'l']\n"
     ]
    }
   ],
   "source": [
    "l=[i for i in 'This item is unavailable' if i not in ['a','e','i','o','u', 'A', 'E', 'I', 'O', 'U']]\n",
    "print(l)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0, 1, 2, 3, 4], [0, 1, 2, 3, 4], [0, 1, 2, 3, 4], [0, 1, 2, 3, 4], [0, 1, 2, 3, 4]]\n"
     ]
    }
   ],
   "source": [
    "a=[[j for j in range(5)] for i in range(5)] \n",
    "print(a)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 5: The Prime Numbers\n",
    "\n",
    "Find and print as many prime numbers as you can."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 is prime!\n",
      "2 is prime!\n",
      "3 is prime!\n",
      "5 is prime!\n",
      "7 is prime!\n",
      "11 is prime!\n",
      "13 is prime!\n",
      "17 is prime!\n",
      "19 is prime!\n",
      "23 is prime!\n",
      "29 is prime!\n",
      "31 is prime!\n",
      "37 is prime!\n",
      "41 is prime!\n",
      "43 is prime!\n",
      "47 is prime!\n",
      "53 is prime!\n",
      "59 is prime!\n",
      "61 is prime!\n",
      "67 is prime!\n",
      "71 is prime!\n",
      "73 is prime!\n",
      "79 is prime!\n",
      "83 is prime!\n",
      "89 is prime!\n",
      "97 is prime!\n",
      "101 is prime!\n",
      "103 is prime!\n",
      "107 is prime!\n",
      "109 is prime!\n",
      "113 is prime!\n",
      "127 is prime!\n",
      "131 is prime!\n",
      "137 is prime!\n",
      "139 is prime!\n",
      "149 is prime!\n",
      "151 is prime!\n",
      "157 is prime!\n",
      "163 is prime!\n",
      "167 is prime!\n",
      "173 is prime!\n",
      "179 is prime!\n",
      "181 is prime!\n",
      "191 is prime!\n",
      "193 is prime!\n",
      "197 is prime!\n",
      "199 is prime!\n",
      "211 is prime!\n",
      "223 is prime!\n",
      "227 is prime!\n",
      "229 is prime!\n",
      "233 is prime!\n",
      "239 is prime!\n",
      "241 is prime!\n",
      "251 is prime!\n",
      "257 is prime!\n",
      "263 is prime!\n",
      "269 is prime!\n",
      "271 is prime!\n",
      "277 is prime!\n",
      "281 is prime!\n",
      "283 is prime!\n",
      "293 is prime!\n",
      "307 is prime!\n",
      "311 is prime!\n",
      "313 is prime!\n",
      "317 is prime!\n",
      "331 is prime!\n",
      "337 is prime!\n",
      "347 is prime!\n",
      "349 is prime!\n",
      "353 is prime!\n",
      "359 is prime!\n",
      "367 is prime!\n",
      "373 is prime!\n",
      "379 is prime!\n",
      "383 is prime!\n",
      "389 is prime!\n",
      "397 is prime!\n",
      "401 is prime!\n",
      "409 is prime!\n",
      "419 is prime!\n",
      "421 is prime!\n",
      "431 is prime!\n",
      "433 is prime!\n",
      "439 is prime!\n",
      "443 is prime!\n",
      "449 is prime!\n",
      "457 is prime!\n",
      "461 is prime!\n",
      "463 is prime!\n",
      "467 is prime!\n",
      "479 is prime!\n",
      "487 is prime!\n",
      "491 is prime!\n",
      "499 is prime!\n",
      "503 is prime!\n",
      "509 is prime!\n",
      "521 is prime!\n",
      "523 is prime!\n",
      "541 is prime!\n",
      "547 is prime!\n",
      "557 is prime!\n",
      "563 is prime!\n",
      "569 is prime!\n",
      "571 is prime!\n",
      "577 is prime!\n",
      "587 is prime!\n",
      "593 is prime!\n",
      "599 is prime!\n",
      "601 is prime!\n",
      "607 is prime!\n",
      "613 is prime!\n",
      "617 is prime!\n",
      "619 is prime!\n",
      "631 is prime!\n",
      "641 is prime!\n",
      "643 is prime!\n",
      "647 is prime!\n",
      "653 is prime!\n",
      "659 is prime!\n",
      "661 is prime!\n",
      "673 is prime!\n",
      "677 is prime!\n",
      "683 is prime!\n",
      "691 is prime!\n",
      "701 is prime!\n",
      "709 is prime!\n",
      "719 is prime!\n",
      "727 is prime!\n",
      "733 is prime!\n",
      "739 is prime!\n",
      "743 is prime!\n",
      "751 is prime!\n",
      "757 is prime!\n",
      "761 is prime!\n",
      "769 is prime!\n",
      "773 is prime!\n",
      "787 is prime!\n",
      "797 is prime!\n",
      "809 is prime!\n",
      "811 is prime!\n",
      "821 is prime!\n",
      "823 is prime!\n",
      "827 is prime!\n",
      "829 is prime!\n",
      "839 is prime!\n",
      "853 is prime!\n",
      "857 is prime!\n",
      "859 is prime!\n",
      "863 is prime!\n",
      "877 is prime!\n",
      "881 is prime!\n",
      "883 is prime!\n",
      "887 is prime!\n",
      "907 is prime!\n",
      "911 is prime!\n",
      "919 is prime!\n",
      "929 is prime!\n",
      "937 is prime!\n",
      "941 is prime!\n",
      "947 is prime!\n",
      "953 is prime!\n",
      "967 is prime!\n",
      "971 is prime!\n",
      "977 is prime!\n",
      "983 is prime!\n",
      "991 is prime!\n",
      "997 is prime!\n",
      "1009 is prime!\n",
      "1013 is prime!\n",
      "1019 is prime!\n",
      "1021 is prime!\n",
      "1031 is prime!\n",
      "1033 is prime!\n",
      "1039 is prime!\n",
      "1049 is prime!\n",
      "1051 is prime!\n",
      "1061 is prime!\n",
      "1063 is prime!\n",
      "1069 is prime!\n",
      "1087 is prime!\n",
      "1091 is prime!\n",
      "1093 is prime!\n",
      "1097 is prime!\n",
      "1103 is prime!\n",
      "1109 is prime!\n",
      "1117 is prime!\n",
      "1123 is prime!\n",
      "1129 is prime!\n",
      "1151 is prime!\n",
      "1153 is prime!\n",
      "1163 is prime!\n",
      "1171 is prime!\n",
      "1181 is prime!\n",
      "1187 is prime!\n",
      "1193 is prime!\n",
      "1201 is prime!\n",
      "1213 is prime!\n",
      "1217 is prime!\n",
      "1223 is prime!\n",
      "1229 is prime!\n",
      "1231 is prime!\n",
      "1237 is prime!\n",
      "1249 is prime!\n",
      "1259 is prime!\n",
      "1277 is prime!\n",
      "1279 is prime!\n",
      "1283 is prime!\n",
      "1289 is prime!\n",
      "1291 is prime!\n",
      "1297 is prime!\n",
      "1301 is prime!\n",
      "1303 is prime!\n",
      "1307 is prime!\n",
      "1319 is prime!\n",
      "1321 is prime!\n",
      "1327 is prime!\n",
      "1361 is prime!\n",
      "1367 is prime!\n",
      "1373 is prime!\n",
      "1381 is prime!\n",
      "1399 is prime!\n",
      "1409 is prime!\n",
      "1423 is prime!\n",
      "1427 is prime!\n",
      "1429 is prime!\n",
      "1433 is prime!\n",
      "1439 is prime!\n",
      "1447 is prime!\n",
      "1451 is prime!\n",
      "1453 is prime!\n",
      "1459 is prime!\n",
      "1471 is prime!\n",
      "1481 is prime!\n",
      "1483 is prime!\n",
      "1487 is prime!\n",
      "1489 is prime!\n",
      "1493 is prime!\n",
      "1499 is prime!\n",
      "1511 is prime!\n",
      "1523 is prime!\n",
      "1531 is prime!\n",
      "1543 is prime!\n",
      "1549 is prime!\n",
      "1553 is prime!\n",
      "1559 is prime!\n",
      "1567 is prime!\n",
      "1571 is prime!\n",
      "1579 is prime!\n",
      "1583 is prime!\n",
      "1597 is prime!\n",
      "1601 is prime!\n",
      "1607 is prime!\n",
      "1609 is prime!\n",
      "1613 is prime!\n",
      "1619 is prime!\n",
      "1621 is prime!\n",
      "1627 is prime!\n",
      "1637 is prime!\n",
      "1657 is prime!\n",
      "1663 is prime!\n",
      "1667 is prime!\n",
      "1669 is prime!\n",
      "1693 is prime!\n",
      "1697 is prime!\n",
      "1699 is prime!\n",
      "1709 is prime!\n",
      "1721 is prime!\n",
      "1723 is prime!\n",
      "1733 is prime!\n",
      "1741 is prime!\n",
      "1747 is prime!\n",
      "1753 is prime!\n",
      "1759 is prime!\n",
      "1777 is prime!\n",
      "1783 is prime!\n",
      "1787 is prime!\n",
      "1789 is prime!\n",
      "1801 is prime!\n",
      "1811 is prime!\n",
      "1823 is prime!\n",
      "1831 is prime!\n",
      "1847 is prime!\n",
      "1861 is prime!\n",
      "1867 is prime!\n",
      "1871 is prime!\n",
      "1873 is prime!\n",
      "1877 is prime!\n",
      "1879 is prime!\n",
      "1889 is prime!\n",
      "1901 is prime!\n",
      "1907 is prime!\n",
      "1913 is prime!\n",
      "1931 is prime!\n",
      "1933 is prime!\n",
      "1949 is prime!\n",
      "1951 is prime!\n",
      "1973 is prime!\n",
      "1979 is prime!\n",
      "1987 is prime!\n",
      "1993 is prime!\n",
      "1997 is prime!\n",
      "1999 is prime!\n",
      "2003 is prime!\n",
      "2011 is prime!\n",
      "2017 is prime!\n",
      "2027 is prime!\n",
      "2029 is prime!\n",
      "2039 is prime!\n",
      "2053 is prime!\n",
      "2063 is prime!\n",
      "2069 is prime!\n",
      "2081 is prime!\n",
      "2083 is prime!\n",
      "2087 is prime!\n",
      "2089 is prime!\n",
      "2099 is prime!\n",
      "2111 is prime!\n",
      "2113 is prime!\n",
      "2129 is prime!\n",
      "2131 is prime!\n",
      "2137 is prime!\n",
      "2141 is prime!\n",
      "2143 is prime!\n",
      "2153 is prime!\n",
      "2161 is prime!\n",
      "2179 is prime!\n",
      "2203 is prime!\n",
      "2207 is prime!\n",
      "2213 is prime!\n",
      "2221 is prime!\n",
      "2237 is prime!\n",
      "2239 is prime!\n",
      "2243 is prime!\n",
      "2251 is prime!\n",
      "2267 is prime!\n",
      "2269 is prime!\n",
      "2273 is prime!\n",
      "2281 is prime!\n",
      "2287 is prime!\n",
      "2293 is prime!\n",
      "2297 is prime!\n",
      "2309 is prime!\n",
      "2311 is prime!\n",
      "2333 is prime!\n",
      "2339 is prime!\n",
      "2341 is prime!\n",
      "2347 is prime!\n",
      "2351 is prime!\n",
      "2357 is prime!\n",
      "2371 is prime!\n",
      "2377 is prime!\n",
      "2381 is prime!\n",
      "2383 is prime!\n",
      "2389 is prime!\n",
      "2393 is prime!\n",
      "2399 is prime!\n",
      "2411 is prime!\n",
      "2417 is prime!\n",
      "2423 is prime!\n",
      "2437 is prime!\n",
      "2441 is prime!\n",
      "2447 is prime!\n",
      "2459 is prime!\n",
      "2467 is prime!\n",
      "2473 is prime!\n",
      "2477 is prime!\n",
      "2503 is prime!\n",
      "2521 is prime!\n",
      "2531 is prime!\n",
      "2539 is prime!\n",
      "2543 is prime!\n",
      "2549 is prime!\n",
      "2551 is prime!\n",
      "2557 is prime!\n",
      "2579 is prime!\n",
      "2591 is prime!\n",
      "2593 is prime!\n",
      "2609 is prime!\n",
      "2617 is prime!\n",
      "2621 is prime!\n",
      "2633 is prime!\n",
      "2647 is prime!\n",
      "2657 is prime!\n",
      "2659 is prime!\n",
      "2663 is prime!\n",
      "2671 is prime!\n",
      "2677 is prime!\n",
      "2683 is prime!\n",
      "2687 is prime!\n",
      "2689 is prime!\n",
      "2693 is prime!\n",
      "2699 is prime!\n",
      "2707 is prime!\n",
      "2711 is prime!\n",
      "2713 is prime!\n",
      "2719 is prime!\n",
      "2729 is prime!\n",
      "2731 is prime!\n",
      "2741 is prime!\n",
      "2749 is prime!\n",
      "2753 is prime!\n",
      "2767 is prime!\n",
      "2777 is prime!\n",
      "2789 is prime!\n",
      "2791 is prime!\n",
      "2797 is prime!\n",
      "2801 is prime!\n",
      "2803 is prime!\n",
      "2819 is prime!\n",
      "2833 is prime!\n",
      "2837 is prime!\n",
      "2843 is prime!\n",
      "2851 is prime!\n",
      "2857 is prime!\n",
      "2861 is prime!\n",
      "2879 is prime!\n",
      "2887 is prime!\n",
      "2897 is prime!\n",
      "2903 is prime!\n",
      "2909 is prime!\n",
      "2917 is prime!\n",
      "2927 is prime!\n",
      "2939 is prime!\n",
      "2953 is prime!\n",
      "2957 is prime!\n",
      "2963 is prime!\n",
      "2969 is prime!\n",
      "2971 is prime!\n",
      "2999 is prime!\n",
      "3001 is prime!\n",
      "3011 is prime!\n",
      "3019 is prime!\n",
      "3023 is prime!\n",
      "3037 is prime!\n",
      "3041 is prime!\n",
      "3049 is prime!\n",
      "3061 is prime!\n",
      "3067 is prime!\n",
      "3079 is prime!\n",
      "3083 is prime!\n",
      "3089 is prime!\n",
      "3109 is prime!\n",
      "3119 is prime!\n",
      "3121 is prime!\n",
      "3137 is prime!\n",
      "3163 is prime!\n",
      "3167 is prime!\n",
      "3169 is prime!\n",
      "3181 is prime!\n",
      "3187 is prime!\n",
      "3191 is prime!\n",
      "3203 is prime!\n",
      "3209 is prime!\n",
      "3217 is prime!\n",
      "3221 is prime!\n",
      "3229 is prime!\n",
      "3251 is prime!\n",
      "3253 is prime!\n",
      "3257 is prime!\n",
      "3259 is prime!\n",
      "3271 is prime!\n",
      "3299 is prime!\n",
      "3301 is prime!\n",
      "3307 is prime!\n",
      "3313 is prime!\n",
      "3319 is prime!\n",
      "3323 is prime!\n",
      "3329 is prime!\n",
      "3331 is prime!\n",
      "3343 is prime!\n",
      "3347 is prime!\n",
      "3359 is prime!\n",
      "3361 is prime!\n",
      "3371 is prime!\n",
      "3373 is prime!\n",
      "3389 is prime!\n",
      "3391 is prime!\n",
      "3407 is prime!\n",
      "3413 is prime!\n",
      "3433 is prime!\n",
      "3449 is prime!\n",
      "3457 is prime!\n",
      "3461 is prime!\n",
      "3463 is prime!\n",
      "3467 is prime!\n",
      "3469 is prime!\n",
      "3491 is prime!\n",
      "3499 is prime!\n",
      "3511 is prime!\n",
      "3517 is prime!\n",
      "3527 is prime!\n",
      "3529 is prime!\n",
      "3533 is prime!\n",
      "3539 is prime!\n",
      "3541 is prime!\n",
      "3547 is prime!\n",
      "3557 is prime!\n",
      "3559 is prime!\n",
      "3571 is prime!\n",
      "3581 is prime!\n",
      "3583 is prime!\n",
      "3593 is prime!\n",
      "3607 is prime!\n",
      "3613 is prime!\n",
      "3617 is prime!\n",
      "3623 is prime!\n",
      "3631 is prime!\n",
      "3637 is prime!\n",
      "3643 is prime!\n",
      "3659 is prime!\n",
      "3671 is prime!\n",
      "3673 is prime!\n",
      "3677 is prime!\n",
      "3691 is prime!\n",
      "3697 is prime!\n",
      "3701 is prime!\n",
      "3709 is prime!\n",
      "3719 is prime!\n",
      "3727 is prime!\n",
      "3733 is prime!\n",
      "3739 is prime!\n",
      "3761 is prime!\n",
      "3767 is prime!\n",
      "3769 is prime!\n",
      "3779 is prime!\n",
      "3793 is prime!\n",
      "3797 is prime!\n",
      "3803 is prime!\n",
      "3821 is prime!\n",
      "3823 is prime!\n",
      "3833 is prime!\n",
      "3847 is prime!\n",
      "3851 is prime!\n",
      "3853 is prime!\n",
      "3863 is prime!\n",
      "3877 is prime!\n",
      "3881 is prime!\n",
      "3889 is prime!\n",
      "3907 is prime!\n",
      "3911 is prime!\n",
      "3917 is prime!\n",
      "3919 is prime!\n",
      "3923 is prime!\n",
      "3929 is prime!\n",
      "3931 is prime!\n",
      "3943 is prime!\n",
      "3947 is prime!\n",
      "3967 is prime!\n",
      "3989 is prime!\n",
      "4001 is prime!\n",
      "4003 is prime!\n",
      "4007 is prime!\n",
      "4013 is prime!\n",
      "4019 is prime!\n",
      "4021 is prime!\n",
      "4027 is prime!\n",
      "4049 is prime!\n",
      "4051 is prime!\n",
      "4057 is prime!\n",
      "4073 is prime!\n",
      "4079 is prime!\n",
      "4091 is prime!\n",
      "4093 is prime!\n",
      "4099 is prime!\n",
      "4111 is prime!\n",
      "4127 is prime!\n",
      "4129 is prime!\n",
      "4133 is prime!\n",
      "4139 is prime!\n",
      "4153 is prime!\n",
      "4157 is prime!\n",
      "4159 is prime!\n",
      "4177 is prime!\n",
      "4201 is prime!\n",
      "4211 is prime!\n",
      "4217 is prime!\n",
      "4219 is prime!\n",
      "4229 is prime!\n",
      "4231 is prime!\n",
      "4241 is prime!\n",
      "4243 is prime!\n",
      "4253 is prime!\n",
      "4259 is prime!\n",
      "4261 is prime!\n",
      "4271 is prime!\n",
      "4273 is prime!\n",
      "4283 is prime!\n",
      "4289 is prime!\n",
      "4297 is prime!\n",
      "4327 is prime!\n",
      "4337 is prime!\n",
      "4339 is prime!\n",
      "4349 is prime!\n",
      "4357 is prime!\n",
      "4363 is prime!\n",
      "4373 is prime!\n",
      "4391 is prime!\n",
      "4397 is prime!\n",
      "4409 is prime!\n",
      "4421 is prime!\n",
      "4423 is prime!\n",
      "4441 is prime!\n",
      "4447 is prime!\n",
      "4451 is prime!\n",
      "4457 is prime!\n",
      "4463 is prime!\n",
      "4481 is prime!\n",
      "4483 is prime!\n",
      "4493 is prime!\n",
      "4507 is prime!\n",
      "4513 is prime!\n",
      "4517 is prime!\n",
      "4519 is prime!\n",
      "4523 is prime!\n",
      "4547 is prime!\n",
      "4549 is prime!\n",
      "4561 is prime!\n",
      "4567 is prime!\n",
      "4583 is prime!\n",
      "4591 is prime!\n",
      "4597 is prime!\n",
      "4603 is prime!\n",
      "4621 is prime!\n",
      "4637 is prime!\n",
      "4639 is prime!\n",
      "4643 is prime!\n",
      "4649 is prime!\n",
      "4651 is prime!\n",
      "4657 is prime!\n",
      "4663 is prime!\n",
      "4673 is prime!\n",
      "4679 is prime!\n",
      "4691 is prime!\n",
      "4703 is prime!\n",
      "4721 is prime!\n",
      "4723 is prime!\n",
      "4729 is prime!\n",
      "4733 is prime!\n",
      "4751 is prime!\n",
      "4759 is prime!\n",
      "4783 is prime!\n",
      "4787 is prime!\n",
      "4789 is prime!\n",
      "4793 is prime!\n",
      "4799 is prime!\n",
      "4801 is prime!\n",
      "4813 is prime!\n",
      "4817 is prime!\n",
      "4831 is prime!\n",
      "4861 is prime!\n",
      "4871 is prime!\n",
      "4877 is prime!\n",
      "4889 is prime!\n",
      "4903 is prime!\n",
      "4909 is prime!\n",
      "4919 is prime!\n",
      "4931 is prime!\n",
      "4933 is prime!\n",
      "4937 is prime!\n",
      "4943 is prime!\n",
      "4951 is prime!\n",
      "4957 is prime!\n",
      "4967 is prime!\n",
      "4969 is prime!\n",
      "4973 is prime!\n",
      "4987 is prime!\n",
      "4993 is prime!\n",
      "4999 is prime!\n",
      "5003 is prime!\n",
      "5009 is prime!\n",
      "5011 is prime!\n",
      "5021 is prime!\n",
      "5023 is prime!\n",
      "5039 is prime!\n",
      "5051 is prime!\n",
      "5059 is prime!\n",
      "5077 is prime!\n",
      "5081 is prime!\n",
      "5087 is prime!\n",
      "5099 is prime!\n",
      "5101 is prime!\n",
      "5107 is prime!\n",
      "5113 is prime!\n",
      "5119 is prime!\n",
      "5147 is prime!\n",
      "5153 is prime!\n",
      "5167 is prime!\n",
      "5171 is prime!\n",
      "5179 is prime!\n",
      "5189 is prime!\n",
      "5197 is prime!\n",
      "5209 is prime!\n",
      "5227 is prime!\n",
      "5231 is prime!\n",
      "5233 is prime!\n",
      "5237 is prime!\n",
      "5261 is prime!\n",
      "5273 is prime!\n",
      "5279 is prime!\n",
      "5281 is prime!\n",
      "5297 is prime!\n",
      "5303 is prime!\n",
      "5309 is prime!\n",
      "5323 is prime!\n",
      "5333 is prime!\n",
      "5347 is prime!\n",
      "5351 is prime!\n",
      "5381 is prime!\n",
      "5387 is prime!\n",
      "5393 is prime!\n",
      "5399 is prime!\n",
      "5407 is prime!\n",
      "5413 is prime!\n",
      "5417 is prime!\n",
      "5419 is prime!\n",
      "5431 is prime!\n",
      "5437 is prime!\n",
      "5441 is prime!\n",
      "5443 is prime!\n",
      "5449 is prime!\n",
      "5471 is prime!\n",
      "5477 is prime!\n",
      "5479 is prime!\n",
      "5483 is prime!\n",
      "5501 is prime!\n",
      "5503 is prime!\n",
      "5507 is prime!\n",
      "5519 is prime!\n",
      "5521 is prime!\n",
      "5527 is prime!\n",
      "5531 is prime!\n",
      "5557 is prime!\n",
      "5563 is prime!\n",
      "5569 is prime!\n",
      "5573 is prime!\n",
      "5581 is prime!\n",
      "5591 is prime!\n",
      "5623 is prime!\n",
      "5639 is prime!\n",
      "5641 is prime!\n",
      "5647 is prime!\n",
      "5651 is prime!\n",
      "5653 is prime!\n",
      "5657 is prime!\n",
      "5659 is prime!\n",
      "5669 is prime!\n",
      "5683 is prime!\n",
      "5689 is prime!\n",
      "5693 is prime!\n",
      "5701 is prime!\n",
      "5711 is prime!\n",
      "5717 is prime!\n",
      "5737 is prime!\n",
      "5741 is prime!\n",
      "5743 is prime!\n",
      "5749 is prime!\n",
      "5779 is prime!\n",
      "5783 is prime!\n",
      "5791 is prime!\n",
      "5801 is prime!\n",
      "5807 is prime!\n",
      "5813 is prime!\n",
      "5821 is prime!\n",
      "5827 is prime!\n",
      "5839 is prime!\n",
      "5843 is prime!\n",
      "5849 is prime!\n",
      "5851 is prime!\n",
      "5857 is prime!\n",
      "5861 is prime!\n",
      "5867 is prime!\n",
      "5869 is prime!\n",
      "5879 is prime!\n",
      "5881 is prime!\n",
      "5897 is prime!\n",
      "5903 is prime!\n",
      "5923 is prime!\n",
      "5927 is prime!\n",
      "5939 is prime!\n",
      "5953 is prime!\n",
      "5981 is prime!\n",
      "5987 is prime!\n",
      "6007 is prime!\n",
      "6011 is prime!\n",
      "6029 is prime!\n",
      "6037 is prime!\n",
      "6043 is prime!\n",
      "6047 is prime!\n",
      "6053 is prime!\n",
      "6067 is prime!\n",
      "6073 is prime!\n",
      "6079 is prime!\n",
      "6089 is prime!\n",
      "6091 is prime!\n",
      "6101 is prime!\n",
      "6113 is prime!\n",
      "6121 is prime!\n",
      "6131 is prime!\n",
      "6133 is prime!\n",
      "6143 is prime!\n",
      "6151 is prime!\n",
      "6163 is prime!\n",
      "6173 is prime!\n",
      "6197 is prime!\n",
      "6199 is prime!\n",
      "6203 is prime!\n",
      "6211 is prime!\n",
      "6217 is prime!\n",
      "6221 is prime!\n",
      "6229 is prime!\n",
      "6247 is prime!\n",
      "6257 is prime!\n",
      "6263 is prime!\n",
      "6269 is prime!\n",
      "6271 is prime!\n",
      "6277 is prime!\n",
      "6287 is prime!\n",
      "6299 is prime!\n",
      "6301 is prime!\n",
      "6311 is prime!\n",
      "6317 is prime!\n",
      "6323 is prime!\n",
      "6329 is prime!\n",
      "6337 is prime!\n",
      "6343 is prime!\n",
      "6353 is prime!\n",
      "6359 is prime!\n",
      "6361 is prime!\n",
      "6367 is prime!\n",
      "6373 is prime!\n",
      "6379 is prime!\n",
      "6389 is prime!\n",
      "6397 is prime!\n",
      "6421 is prime!\n",
      "6427 is prime!\n",
      "6449 is prime!\n",
      "6451 is prime!\n",
      "6469 is prime!\n",
      "6473 is prime!\n",
      "6481 is prime!\n",
      "6491 is prime!\n",
      "6521 is prime!\n",
      "6529 is prime!\n",
      "6547 is prime!\n",
      "6551 is prime!\n",
      "6553 is prime!\n",
      "6563 is prime!\n",
      "6569 is prime!\n",
      "6571 is prime!\n",
      "6577 is prime!\n",
      "6581 is prime!\n",
      "6599 is prime!\n",
      "6607 is prime!\n",
      "6619 is prime!\n",
      "6637 is prime!\n",
      "6653 is prime!\n",
      "6659 is prime!\n",
      "6661 is prime!\n",
      "6673 is prime!\n",
      "6679 is prime!\n",
      "6689 is prime!\n",
      "6691 is prime!\n",
      "6701 is prime!\n",
      "6703 is prime!\n",
      "6709 is prime!\n",
      "6719 is prime!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6733 is prime!\n",
      "6737 is prime!\n",
      "6761 is prime!\n",
      "6763 is prime!\n",
      "6779 is prime!\n",
      "6781 is prime!\n",
      "6791 is prime!\n",
      "6793 is prime!\n",
      "6803 is prime!\n",
      "6823 is prime!\n",
      "6827 is prime!\n",
      "6829 is prime!\n",
      "6833 is prime!\n",
      "6841 is prime!\n",
      "6857 is prime!\n",
      "6863 is prime!\n",
      "6869 is prime!\n",
      "6871 is prime!\n",
      "6883 is prime!\n",
      "6899 is prime!\n",
      "6907 is prime!\n",
      "6911 is prime!\n",
      "6917 is prime!\n",
      "6947 is prime!\n",
      "6949 is prime!\n",
      "6959 is prime!\n",
      "6961 is prime!\n",
      "6967 is prime!\n",
      "6971 is prime!\n",
      "6977 is prime!\n",
      "6983 is prime!\n",
      "6991 is prime!\n",
      "6997 is prime!\n",
      "7001 is prime!\n",
      "7013 is prime!\n",
      "7019 is prime!\n",
      "7027 is prime!\n",
      "7039 is prime!\n",
      "7043 is prime!\n",
      "7057 is prime!\n",
      "7069 is prime!\n",
      "7079 is prime!\n",
      "7103 is prime!\n",
      "7109 is prime!\n",
      "7121 is prime!\n",
      "7127 is prime!\n",
      "7129 is prime!\n",
      "7151 is prime!\n",
      "7159 is prime!\n",
      "7177 is prime!\n",
      "7187 is prime!\n",
      "7193 is prime!\n",
      "7207 is prime!\n",
      "7211 is prime!\n",
      "7213 is prime!\n",
      "7219 is prime!\n",
      "7229 is prime!\n",
      "7237 is prime!\n",
      "7243 is prime!\n",
      "7247 is prime!\n",
      "7253 is prime!\n",
      "7283 is prime!\n",
      "7297 is prime!\n",
      "7307 is prime!\n",
      "7309 is prime!\n",
      "7321 is prime!\n",
      "7331 is prime!\n",
      "7333 is prime!\n",
      "7349 is prime!\n",
      "7351 is prime!\n",
      "7369 is prime!\n",
      "7393 is prime!\n",
      "7411 is prime!\n",
      "7417 is prime!\n",
      "7433 is prime!\n",
      "7451 is prime!\n",
      "7457 is prime!\n",
      "7459 is prime!\n",
      "7477 is prime!\n",
      "7481 is prime!\n",
      "7487 is prime!\n",
      "7489 is prime!\n",
      "7499 is prime!\n",
      "7507 is prime!\n",
      "7517 is prime!\n",
      "7523 is prime!\n",
      "7529 is prime!\n",
      "7537 is prime!\n",
      "7541 is prime!\n",
      "7547 is prime!\n",
      "7549 is prime!\n",
      "7559 is prime!\n",
      "7561 is prime!\n",
      "7573 is prime!\n",
      "7577 is prime!\n",
      "7583 is prime!\n",
      "7589 is prime!\n",
      "7591 is prime!\n",
      "7603 is prime!\n",
      "7607 is prime!\n",
      "7621 is prime!\n",
      "7639 is prime!\n",
      "7643 is prime!\n",
      "7649 is prime!\n",
      "7669 is prime!\n",
      "7673 is prime!\n",
      "7681 is prime!\n",
      "7687 is prime!\n",
      "7691 is prime!\n",
      "7699 is prime!\n",
      "7703 is prime!\n",
      "7717 is prime!\n",
      "7723 is prime!\n",
      "7727 is prime!\n",
      "7741 is prime!\n",
      "7753 is prime!\n",
      "7757 is prime!\n",
      "7759 is prime!\n",
      "7789 is prime!\n",
      "7793 is prime!\n",
      "7817 is prime!\n",
      "7823 is prime!\n",
      "7829 is prime!\n",
      "7841 is prime!\n",
      "7853 is prime!\n",
      "7867 is prime!\n",
      "7873 is prime!\n",
      "7877 is prime!\n",
      "7879 is prime!\n",
      "7883 is prime!\n",
      "7901 is prime!\n",
      "7907 is prime!\n",
      "7919 is prime!\n",
      "7927 is prime!\n",
      "7933 is prime!\n",
      "7937 is prime!\n",
      "7949 is prime!\n",
      "7951 is prime!\n",
      "7963 is prime!\n",
      "7993 is prime!\n",
      "8009 is prime!\n",
      "8011 is prime!\n",
      "8017 is prime!\n",
      "8039 is prime!\n",
      "8053 is prime!\n",
      "8059 is prime!\n",
      "8069 is prime!\n",
      "8081 is prime!\n",
      "8087 is prime!\n",
      "8089 is prime!\n",
      "8093 is prime!\n",
      "8101 is prime!\n",
      "8111 is prime!\n",
      "8117 is prime!\n",
      "8123 is prime!\n",
      "8147 is prime!\n",
      "8161 is prime!\n",
      "8167 is prime!\n",
      "8171 is prime!\n",
      "8179 is prime!\n",
      "8191 is prime!\n",
      "8209 is prime!\n",
      "8219 is prime!\n",
      "8221 is prime!\n",
      "8231 is prime!\n",
      "8233 is prime!\n",
      "8237 is prime!\n",
      "8243 is prime!\n",
      "8263 is prime!\n",
      "8269 is prime!\n",
      "8273 is prime!\n",
      "8287 is prime!\n",
      "8291 is prime!\n",
      "8293 is prime!\n",
      "8297 is prime!\n",
      "8311 is prime!\n",
      "8317 is prime!\n",
      "8329 is prime!\n",
      "8353 is prime!\n",
      "8363 is prime!\n",
      "8369 is prime!\n",
      "8377 is prime!\n",
      "8387 is prime!\n",
      "8389 is prime!\n",
      "8419 is prime!\n",
      "8423 is prime!\n",
      "8429 is prime!\n",
      "8431 is prime!\n",
      "8443 is prime!\n",
      "8447 is prime!\n",
      "8461 is prime!\n",
      "8467 is prime!\n",
      "8501 is prime!\n",
      "8513 is prime!\n",
      "8521 is prime!\n",
      "8527 is prime!\n",
      "8537 is prime!\n",
      "8539 is prime!\n",
      "8543 is prime!\n",
      "8563 is prime!\n",
      "8573 is prime!\n",
      "8581 is prime!\n",
      "8597 is prime!\n",
      "8599 is prime!\n",
      "8609 is prime!\n",
      "8623 is prime!\n",
      "8627 is prime!\n",
      "8629 is prime!\n",
      "8641 is prime!\n",
      "8647 is prime!\n",
      "8663 is prime!\n",
      "8669 is prime!\n",
      "8677 is prime!\n",
      "8681 is prime!\n",
      "8689 is prime!\n",
      "8693 is prime!\n",
      "8699 is prime!\n",
      "8707 is prime!\n",
      "8713 is prime!\n",
      "8719 is prime!\n",
      "8731 is prime!\n",
      "8737 is prime!\n",
      "8741 is prime!\n",
      "8747 is prime!\n",
      "8753 is prime!\n",
      "8761 is prime!\n",
      "8779 is prime!\n",
      "8783 is prime!\n",
      "8803 is prime!\n",
      "8807 is prime!\n",
      "8819 is prime!\n",
      "8821 is prime!\n",
      "8831 is prime!\n",
      "8837 is prime!\n",
      "8839 is prime!\n",
      "8849 is prime!\n",
      "8861 is prime!\n",
      "8863 is prime!\n",
      "8867 is prime!\n",
      "8887 is prime!\n",
      "8893 is prime!\n",
      "8923 is prime!\n",
      "8929 is prime!\n",
      "8933 is prime!\n",
      "8941 is prime!\n",
      "8951 is prime!\n",
      "8963 is prime!\n",
      "8969 is prime!\n",
      "8971 is prime!\n",
      "8999 is prime!\n",
      "9001 is prime!\n",
      "9007 is prime!\n",
      "9011 is prime!\n",
      "9013 is prime!\n",
      "9029 is prime!\n",
      "9041 is prime!\n",
      "9043 is prime!\n",
      "9049 is prime!\n",
      "9059 is prime!\n",
      "9067 is prime!\n",
      "9091 is prime!\n",
      "9103 is prime!\n",
      "9109 is prime!\n",
      "9127 is prime!\n",
      "9133 is prime!\n",
      "9137 is prime!\n",
      "9151 is prime!\n",
      "9157 is prime!\n",
      "9161 is prime!\n",
      "9173 is prime!\n",
      "9181 is prime!\n",
      "9187 is prime!\n",
      "9199 is prime!\n",
      "9203 is prime!\n",
      "9209 is prime!\n",
      "9221 is prime!\n",
      "9227 is prime!\n",
      "9239 is prime!\n",
      "9241 is prime!\n",
      "9257 is prime!\n",
      "9277 is prime!\n",
      "9281 is prime!\n",
      "9283 is prime!\n",
      "9293 is prime!\n",
      "9311 is prime!\n",
      "9319 is prime!\n",
      "9323 is prime!\n",
      "9337 is prime!\n",
      "9341 is prime!\n",
      "9343 is prime!\n",
      "9349 is prime!\n",
      "9371 is prime!\n",
      "9377 is prime!\n",
      "9391 is prime!\n",
      "9397 is prime!\n",
      "9403 is prime!\n",
      "9413 is prime!\n",
      "9419 is prime!\n",
      "9421 is prime!\n",
      "9431 is prime!\n",
      "9433 is prime!\n",
      "9437 is prime!\n",
      "9439 is prime!\n",
      "9461 is prime!\n",
      "9463 is prime!\n",
      "9467 is prime!\n",
      "9473 is prime!\n",
      "9479 is prime!\n",
      "9491 is prime!\n",
      "9497 is prime!\n",
      "9511 is prime!\n",
      "9521 is prime!\n",
      "9533 is prime!\n",
      "9539 is prime!\n",
      "9547 is prime!\n",
      "9551 is prime!\n",
      "9587 is prime!\n",
      "9601 is prime!\n",
      "9613 is prime!\n",
      "9619 is prime!\n",
      "9623 is prime!\n",
      "9629 is prime!\n",
      "9631 is prime!\n",
      "9643 is prime!\n",
      "9649 is prime!\n",
      "9661 is prime!\n",
      "9677 is prime!\n",
      "9679 is prime!\n",
      "9689 is prime!\n",
      "9697 is prime!\n",
      "9719 is prime!\n",
      "9721 is prime!\n",
      "9733 is prime!\n",
      "9739 is prime!\n",
      "9743 is prime!\n",
      "9749 is prime!\n",
      "9767 is prime!\n",
      "9769 is prime!\n",
      "9781 is prime!\n",
      "9787 is prime!\n",
      "9791 is prime!\n",
      "9803 is prime!\n",
      "9811 is prime!\n",
      "9817 is prime!\n",
      "9829 is prime!\n",
      "9833 is prime!\n",
      "9839 is prime!\n",
      "9851 is prime!\n",
      "9857 is prime!\n",
      "9859 is prime!\n",
      "9871 is prime!\n",
      "9883 is prime!\n",
      "9887 is prime!\n",
      "9901 is prime!\n",
      "9907 is prime!\n",
      "9923 is prime!\n",
      "9929 is prime!\n",
      "9931 is prime!\n",
      "9941 is prime!\n",
      "9949 is prime!\n",
      "9967 is prime!\n",
      "9973 is prime!\n",
      "10007 is prime!\n",
      "10009 is prime!\n",
      "10037 is prime!\n",
      "10039 is prime!\n",
      "10061 is prime!\n",
      "10067 is prime!\n",
      "10069 is prime!\n",
      "10079 is prime!\n",
      "10091 is prime!\n",
      "10093 is prime!\n",
      "10099 is prime!\n",
      "10103 is prime!\n",
      "10111 is prime!\n",
      "10133 is prime!\n",
      "10139 is prime!\n",
      "10141 is prime!\n",
      "10151 is prime!\n",
      "10159 is prime!\n",
      "10163 is prime!\n",
      "10169 is prime!\n",
      "10177 is prime!\n",
      "10181 is prime!\n",
      "10193 is prime!\n",
      "10211 is prime!\n",
      "10223 is prime!\n",
      "10243 is prime!\n",
      "10247 is prime!\n",
      "10253 is prime!\n",
      "10259 is prime!\n",
      "10267 is prime!\n",
      "10271 is prime!\n",
      "10273 is prime!\n",
      "10289 is prime!\n",
      "10301 is prime!\n",
      "10303 is prime!\n",
      "10313 is prime!\n",
      "10321 is prime!\n",
      "10331 is prime!\n",
      "10333 is prime!\n",
      "10337 is prime!\n",
      "10343 is prime!\n",
      "10357 is prime!\n",
      "10369 is prime!\n",
      "10391 is prime!\n",
      "10399 is prime!\n",
      "10427 is prime!\n",
      "10429 is prime!\n",
      "10433 is prime!\n",
      "10453 is prime!\n",
      "10457 is prime!\n",
      "10459 is prime!\n",
      "10463 is prime!\n",
      "10477 is prime!\n",
      "10487 is prime!\n",
      "10499 is prime!\n",
      "10501 is prime!\n",
      "10513 is prime!\n",
      "10529 is prime!\n",
      "10531 is prime!\n",
      "10559 is prime!\n",
      "10567 is prime!\n",
      "10589 is prime!\n",
      "10597 is prime!\n",
      "10601 is prime!\n",
      "10607 is prime!\n",
      "10613 is prime!\n",
      "10627 is prime!\n",
      "10631 is prime!\n",
      "10639 is prime!\n",
      "10651 is prime!\n",
      "10657 is prime!\n",
      "10663 is prime!\n",
      "10667 is prime!\n",
      "10687 is prime!\n",
      "10691 is prime!\n",
      "10709 is prime!\n",
      "10711 is prime!\n",
      "10723 is prime!\n",
      "10729 is prime!\n",
      "10733 is prime!\n",
      "10739 is prime!\n",
      "10753 is prime!\n",
      "10771 is prime!\n",
      "10781 is prime!\n",
      "10789 is prime!\n",
      "10799 is prime!\n",
      "10831 is prime!\n",
      "10837 is prime!\n",
      "10847 is prime!\n",
      "10853 is prime!\n",
      "10859 is prime!\n",
      "10861 is prime!\n",
      "10867 is prime!\n",
      "10883 is prime!\n",
      "10889 is prime!\n",
      "10891 is prime!\n",
      "10903 is prime!\n",
      "10909 is prime!\n",
      "10937 is prime!\n",
      "10939 is prime!\n",
      "10949 is prime!\n",
      "10957 is prime!\n",
      "10973 is prime!\n",
      "10979 is prime!\n",
      "10987 is prime!\n",
      "10993 is prime!\n",
      "11003 is prime!\n",
      "11027 is prime!\n",
      "11047 is prime!\n",
      "11057 is prime!\n",
      "11059 is prime!\n",
      "11069 is prime!\n",
      "11071 is prime!\n",
      "11083 is prime!\n",
      "11087 is prime!\n",
      "11093 is prime!\n",
      "11113 is prime!\n",
      "11117 is prime!\n",
      "11119 is prime!\n",
      "11131 is prime!\n",
      "11149 is prime!\n",
      "11159 is prime!\n",
      "11161 is prime!\n",
      "11171 is prime!\n",
      "11173 is prime!\n",
      "11177 is prime!\n",
      "11197 is prime!\n",
      "11213 is prime!\n",
      "11239 is prime!\n",
      "11243 is prime!\n",
      "11251 is prime!\n",
      "11257 is prime!\n",
      "11261 is prime!\n",
      "11273 is prime!\n",
      "11279 is prime!\n",
      "11287 is prime!\n",
      "11299 is prime!\n",
      "11311 is prime!\n",
      "11317 is prime!\n",
      "11321 is prime!\n",
      "11329 is prime!\n",
      "11351 is prime!\n",
      "11353 is prime!\n",
      "11369 is prime!\n",
      "11383 is prime!\n",
      "11393 is prime!\n",
      "11399 is prime!\n",
      "11411 is prime!\n",
      "11423 is prime!\n",
      "11437 is prime!\n",
      "11443 is prime!\n",
      "11447 is prime!\n",
      "11467 is prime!\n",
      "11471 is prime!\n",
      "11483 is prime!\n",
      "11489 is prime!\n",
      "11491 is prime!\n",
      "11497 is prime!\n",
      "11503 is prime!\n",
      "11519 is prime!\n",
      "11527 is prime!\n",
      "11549 is prime!\n",
      "11551 is prime!\n",
      "11579 is prime!\n",
      "11587 is prime!\n",
      "11593 is prime!\n",
      "11597 is prime!\n",
      "11617 is prime!\n",
      "11621 is prime!\n",
      "11633 is prime!\n",
      "11657 is prime!\n",
      "11677 is prime!\n",
      "11681 is prime!\n",
      "11689 is prime!\n",
      "11699 is prime!\n",
      "11701 is prime!\n",
      "11717 is prime!\n",
      "11719 is prime!\n",
      "11731 is prime!\n",
      "11743 is prime!\n",
      "11777 is prime!\n",
      "11779 is prime!\n",
      "11783 is prime!\n",
      "11789 is prime!\n",
      "11801 is prime!\n",
      "11807 is prime!\n",
      "11813 is prime!\n",
      "11821 is prime!\n",
      "11827 is prime!\n",
      "11831 is prime!\n",
      "11833 is prime!\n",
      "11839 is prime!\n",
      "11863 is prime!\n",
      "11867 is prime!\n",
      "11887 is prime!\n",
      "11897 is prime!\n",
      "11903 is prime!\n",
      "11909 is prime!\n",
      "11923 is prime!\n",
      "11927 is prime!\n",
      "11933 is prime!\n",
      "11939 is prime!\n",
      "11941 is prime!\n",
      "11953 is prime!\n",
      "11959 is prime!\n",
      "11969 is prime!\n",
      "11971 is prime!\n",
      "11981 is prime!\n",
      "11987 is prime!\n",
      "12007 is prime!\n",
      "12011 is prime!\n",
      "12037 is prime!\n",
      "12041 is prime!\n",
      "12043 is prime!\n",
      "12049 is prime!\n",
      "12071 is prime!\n",
      "12073 is prime!\n",
      "12097 is prime!\n",
      "12101 is prime!\n",
      "12107 is prime!\n",
      "12109 is prime!\n",
      "12113 is prime!\n",
      "12119 is prime!\n",
      "12143 is prime!\n",
      "12149 is prime!\n",
      "12157 is prime!\n",
      "12161 is prime!\n",
      "12163 is prime!\n",
      "12197 is prime!\n",
      "12203 is prime!\n",
      "12211 is prime!\n",
      "12227 is prime!\n",
      "12239 is prime!\n",
      "12241 is prime!\n",
      "12251 is prime!\n",
      "12253 is prime!\n",
      "12263 is prime!\n",
      "12269 is prime!\n",
      "12277 is prime!\n",
      "12281 is prime!\n",
      "12289 is prime!\n",
      "12301 is prime!\n",
      "12323 is prime!\n",
      "12329 is prime!\n",
      "12343 is prime!\n",
      "12347 is prime!\n",
      "12373 is prime!\n",
      "12377 is prime!\n",
      "12379 is prime!\n",
      "12391 is prime!\n",
      "12401 is prime!\n",
      "12409 is prime!\n",
      "12413 is prime!\n",
      "12421 is prime!\n",
      "12433 is prime!\n",
      "12437 is prime!\n",
      "12451 is prime!\n",
      "12457 is prime!\n",
      "12473 is prime!\n",
      "12479 is prime!\n",
      "12487 is prime!\n",
      "12491 is prime!\n",
      "12497 is prime!\n",
      "12503 is prime!\n",
      "12511 is prime!\n",
      "12517 is prime!\n",
      "12527 is prime!\n",
      "12539 is prime!\n",
      "12541 is prime!\n",
      "12547 is prime!\n",
      "12553 is prime!\n",
      "12569 is prime!\n",
      "12577 is prime!\n",
      "12583 is prime!\n",
      "12589 is prime!\n",
      "12601 is prime!\n",
      "12611 is prime!\n",
      "12613 is prime!\n",
      "12619 is prime!\n",
      "12637 is prime!\n",
      "12641 is prime!\n",
      "12647 is prime!\n",
      "12653 is prime!\n",
      "12659 is prime!\n",
      "12671 is prime!\n",
      "12689 is prime!\n",
      "12697 is prime!\n",
      "12703 is prime!\n",
      "12713 is prime!\n",
      "12721 is prime!\n",
      "12739 is prime!\n",
      "12743 is prime!\n",
      "12757 is prime!\n",
      "12763 is prime!\n",
      "12781 is prime!\n",
      "12791 is prime!\n",
      "12799 is prime!\n",
      "12809 is prime!\n",
      "12821 is prime!\n",
      "12823 is prime!\n",
      "12829 is prime!\n",
      "12841 is prime!\n",
      "12853 is prime!\n",
      "12889 is prime!\n",
      "12893 is prime!\n",
      "12899 is prime!\n",
      "12907 is prime!\n",
      "12911 is prime!\n",
      "12917 is prime!\n",
      "12919 is prime!\n",
      "12923 is prime!\n",
      "12941 is prime!\n",
      "12953 is prime!\n",
      "12959 is prime!\n",
      "12967 is prime!\n",
      "12973 is prime!\n",
      "12979 is prime!\n",
      "12983 is prime!\n",
      "13001 is prime!\n",
      "13003 is prime!\n",
      "13007 is prime!\n",
      "13009 is prime!\n",
      "13033 is prime!\n",
      "13037 is prime!\n",
      "13043 is prime!\n",
      "13049 is prime!\n",
      "13063 is prime!\n",
      "13093 is prime!\n",
      "13099 is prime!\n",
      "13103 is prime!\n",
      "13109 is prime!\n",
      "13121 is prime!\n",
      "13127 is prime!\n",
      "13147 is prime!\n",
      "13151 is prime!\n",
      "13159 is prime!\n",
      "13163 is prime!\n",
      "13171 is prime!\n",
      "13177 is prime!\n",
      "13183 is prime!\n",
      "13187 is prime!\n",
      "13217 is prime!\n",
      "13219 is prime!\n",
      "13229 is prime!\n",
      "13241 is prime!\n",
      "13249 is prime!\n",
      "13259 is prime!\n",
      "13267 is prime!\n",
      "13291 is prime!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "13297 is prime!\n",
      "13309 is prime!\n",
      "13313 is prime!\n",
      "13327 is prime!\n",
      "13331 is prime!\n",
      "13337 is prime!\n",
      "13339 is prime!\n",
      "13367 is prime!\n",
      "13381 is prime!\n",
      "13397 is prime!\n",
      "13399 is prime!\n",
      "13411 is prime!\n",
      "13417 is prime!\n",
      "13421 is prime!\n",
      "13441 is prime!\n",
      "13451 is prime!\n",
      "13457 is prime!\n",
      "13463 is prime!\n",
      "13469 is prime!\n",
      "13477 is prime!\n",
      "13487 is prime!\n",
      "13499 is prime!\n",
      "13513 is prime!\n",
      "13523 is prime!\n",
      "13537 is prime!\n",
      "13553 is prime!\n",
      "13567 is prime!\n",
      "13577 is prime!\n",
      "13591 is prime!\n",
      "13597 is prime!\n",
      "13613 is prime!\n",
      "13619 is prime!\n",
      "13627 is prime!\n",
      "13633 is prime!\n",
      "13649 is prime!\n",
      "13669 is prime!\n",
      "13679 is prime!\n",
      "13681 is prime!\n",
      "13687 is prime!\n",
      "13691 is prime!\n",
      "13693 is prime!\n",
      "13697 is prime!\n",
      "13709 is prime!\n",
      "13711 is prime!\n",
      "13721 is prime!\n",
      "13723 is prime!\n",
      "13729 is prime!\n",
      "13751 is prime!\n",
      "13757 is prime!\n",
      "13759 is prime!\n",
      "13763 is prime!\n",
      "13781 is prime!\n",
      "13789 is prime!\n",
      "13799 is prime!\n",
      "13807 is prime!\n",
      "13829 is prime!\n",
      "13831 is prime!\n",
      "13841 is prime!\n",
      "13859 is prime!\n",
      "13873 is prime!\n",
      "13877 is prime!\n",
      "13879 is prime!\n",
      "13883 is prime!\n",
      "13901 is prime!\n",
      "13903 is prime!\n",
      "13907 is prime!\n",
      "13913 is prime!\n",
      "13921 is prime!\n",
      "13931 is prime!\n",
      "13933 is prime!\n",
      "13963 is prime!\n",
      "13967 is prime!\n",
      "13997 is prime!\n",
      "13999 is prime!\n",
      "14009 is prime!\n",
      "14011 is prime!\n",
      "14029 is prime!\n",
      "14033 is prime!\n",
      "14051 is prime!\n",
      "14057 is prime!\n",
      "14071 is prime!\n",
      "14081 is prime!\n",
      "14083 is prime!\n",
      "14087 is prime!\n",
      "14107 is prime!\n",
      "14143 is prime!\n",
      "14149 is prime!\n",
      "14153 is prime!\n",
      "14159 is prime!\n",
      "14173 is prime!\n",
      "14177 is prime!\n",
      "14197 is prime!\n",
      "14207 is prime!\n",
      "14221 is prime!\n",
      "14243 is prime!\n",
      "14249 is prime!\n",
      "14251 is prime!\n",
      "14281 is prime!\n",
      "14293 is prime!\n",
      "14303 is prime!\n",
      "14321 is prime!\n",
      "14323 is prime!\n",
      "14327 is prime!\n",
      "14341 is prime!\n",
      "14347 is prime!\n",
      "14369 is prime!\n",
      "14387 is prime!\n",
      "14389 is prime!\n",
      "14401 is prime!\n",
      "14407 is prime!\n",
      "14411 is prime!\n",
      "14419 is prime!\n",
      "14423 is prime!\n",
      "14431 is prime!\n",
      "14437 is prime!\n",
      "14447 is prime!\n",
      "14449 is prime!\n",
      "14461 is prime!\n",
      "14479 is prime!\n",
      "14489 is prime!\n",
      "14503 is prime!\n",
      "14519 is prime!\n",
      "14533 is prime!\n",
      "14537 is prime!\n",
      "14543 is prime!\n",
      "14549 is prime!\n",
      "14551 is prime!\n",
      "14557 is prime!\n",
      "14561 is prime!\n",
      "14563 is prime!\n",
      "14591 is prime!\n",
      "14593 is prime!\n",
      "14621 is prime!\n",
      "14627 is prime!\n",
      "14629 is prime!\n",
      "14633 is prime!\n",
      "14639 is prime!\n",
      "14653 is prime!\n",
      "14657 is prime!\n",
      "14669 is prime!\n",
      "14683 is prime!\n",
      "14699 is prime!\n",
      "14713 is prime!\n",
      "14717 is prime!\n",
      "14723 is prime!\n",
      "14731 is prime!\n",
      "14737 is prime!\n",
      "14741 is prime!\n",
      "14747 is prime!\n",
      "14753 is prime!\n",
      "14759 is prime!\n",
      "14767 is prime!\n",
      "14771 is prime!\n",
      "14779 is prime!\n",
      "14783 is prime!\n",
      "14797 is prime!\n",
      "14813 is prime!\n",
      "14821 is prime!\n",
      "14827 is prime!\n",
      "14831 is prime!\n",
      "14843 is prime!\n",
      "14851 is prime!\n",
      "14867 is prime!\n",
      "14869 is prime!\n",
      "14879 is prime!\n",
      "14887 is prime!\n",
      "14891 is prime!\n",
      "14897 is prime!\n",
      "14923 is prime!\n",
      "14929 is prime!\n",
      "14939 is prime!\n",
      "14947 is prime!\n",
      "14951 is prime!\n",
      "14957 is prime!\n",
      "14969 is prime!\n",
      "14983 is prime!\n",
      "15013 is prime!\n",
      "15017 is prime!\n",
      "15031 is prime!\n",
      "15053 is prime!\n",
      "15061 is prime!\n",
      "15073 is prime!\n",
      "15077 is prime!\n",
      "15083 is prime!\n",
      "15091 is prime!\n",
      "15101 is prime!\n",
      "15107 is prime!\n",
      "15121 is prime!\n",
      "15131 is prime!\n",
      "15137 is prime!\n",
      "15139 is prime!\n",
      "15149 is prime!\n",
      "15161 is prime!\n",
      "15173 is prime!\n",
      "15187 is prime!\n",
      "15193 is prime!\n",
      "15199 is prime!\n",
      "15217 is prime!\n",
      "15227 is prime!\n",
      "15233 is prime!\n",
      "15241 is prime!\n",
      "15259 is prime!\n",
      "15263 is prime!\n",
      "15269 is prime!\n",
      "15271 is prime!\n",
      "15277 is prime!\n",
      "15287 is prime!\n",
      "15289 is prime!\n",
      "15299 is prime!\n",
      "15307 is prime!\n",
      "15313 is prime!\n",
      "15319 is prime!\n",
      "15329 is prime!\n",
      "15331 is prime!\n",
      "15349 is prime!\n",
      "15359 is prime!\n",
      "15361 is prime!\n",
      "15373 is prime!\n",
      "15377 is prime!\n",
      "15383 is prime!\n",
      "15391 is prime!\n",
      "15401 is prime!\n",
      "15413 is prime!\n",
      "15427 is prime!\n",
      "15439 is prime!\n",
      "15443 is prime!\n",
      "15451 is prime!\n",
      "15461 is prime!\n",
      "15467 is prime!\n",
      "15473 is prime!\n",
      "15493 is prime!\n",
      "15497 is prime!\n",
      "15511 is prime!\n",
      "15527 is prime!\n",
      "15541 is prime!\n",
      "15551 is prime!\n",
      "15559 is prime!\n",
      "15569 is prime!\n",
      "15581 is prime!\n",
      "15583 is prime!\n",
      "15601 is prime!\n",
      "15607 is prime!\n",
      "15619 is prime!\n",
      "15629 is prime!\n",
      "15641 is prime!\n",
      "15643 is prime!\n",
      "15647 is prime!\n",
      "15649 is prime!\n",
      "15661 is prime!\n",
      "15667 is prime!\n",
      "15671 is prime!\n",
      "15679 is prime!\n",
      "15683 is prime!\n",
      "15727 is prime!\n",
      "15731 is prime!\n",
      "15733 is prime!\n",
      "15737 is prime!\n",
      "15739 is prime!\n",
      "15749 is prime!\n",
      "15761 is prime!\n",
      "15767 is prime!\n",
      "15773 is prime!\n",
      "15787 is prime!\n",
      "15791 is prime!\n",
      "15797 is prime!\n",
      "15803 is prime!\n",
      "15809 is prime!\n",
      "15817 is prime!\n",
      "15823 is prime!\n",
      "15859 is prime!\n",
      "15877 is prime!\n",
      "15881 is prime!\n",
      "15887 is prime!\n",
      "15889 is prime!\n",
      "15901 is prime!\n",
      "15907 is prime!\n",
      "15913 is prime!\n",
      "15919 is prime!\n",
      "15923 is prime!\n",
      "15937 is prime!\n",
      "15959 is prime!\n",
      "15971 is prime!\n",
      "15973 is prime!\n",
      "15991 is prime!\n",
      "16001 is prime!\n",
      "16007 is prime!\n",
      "16033 is prime!\n",
      "16057 is prime!\n",
      "16061 is prime!\n",
      "16063 is prime!\n",
      "16067 is prime!\n",
      "16069 is prime!\n",
      "16073 is prime!\n",
      "16087 is prime!\n",
      "16091 is prime!\n",
      "16097 is prime!\n",
      "16103 is prime!\n",
      "16111 is prime!\n",
      "16127 is prime!\n",
      "16139 is prime!\n",
      "16141 is prime!\n",
      "16183 is prime!\n",
      "16187 is prime!\n",
      "16189 is prime!\n",
      "16193 is prime!\n",
      "16217 is prime!\n",
      "16223 is prime!\n",
      "16229 is prime!\n",
      "16231 is prime!\n",
      "16249 is prime!\n",
      "16253 is prime!\n",
      "16267 is prime!\n",
      "16273 is prime!\n",
      "16301 is prime!\n",
      "16319 is prime!\n",
      "16333 is prime!\n",
      "16339 is prime!\n",
      "16349 is prime!\n",
      "16361 is prime!\n",
      "16363 is prime!\n",
      "16369 is prime!\n",
      "16381 is prime!\n",
      "16411 is prime!\n",
      "16417 is prime!\n",
      "16421 is prime!\n",
      "16427 is prime!\n",
      "16433 is prime!\n",
      "16447 is prime!\n",
      "16451 is prime!\n",
      "16453 is prime!\n",
      "16477 is prime!\n",
      "16481 is prime!\n",
      "16487 is prime!\n",
      "16493 is prime!\n",
      "16519 is prime!\n",
      "16529 is prime!\n",
      "16547 is prime!\n",
      "16553 is prime!\n",
      "16561 is prime!\n",
      "16567 is prime!\n",
      "16573 is prime!\n",
      "16603 is prime!\n",
      "16607 is prime!\n",
      "16619 is prime!\n",
      "16631 is prime!\n",
      "16633 is prime!\n",
      "16649 is prime!\n",
      "16651 is prime!\n",
      "16657 is prime!\n",
      "16661 is prime!\n",
      "16673 is prime!\n",
      "16691 is prime!\n",
      "16693 is prime!\n",
      "16699 is prime!\n",
      "16703 is prime!\n",
      "16729 is prime!\n",
      "16741 is prime!\n",
      "16747 is prime!\n",
      "16759 is prime!\n",
      "16763 is prime!\n",
      "16787 is prime!\n",
      "16811 is prime!\n",
      "16823 is prime!\n",
      "16829 is prime!\n",
      "16831 is prime!\n",
      "16843 is prime!\n",
      "16871 is prime!\n",
      "16879 is prime!\n",
      "16883 is prime!\n",
      "16889 is prime!\n",
      "16901 is prime!\n",
      "16903 is prime!\n",
      "16921 is prime!\n",
      "16927 is prime!\n",
      "16931 is prime!\n",
      "16937 is prime!\n",
      "16943 is prime!\n",
      "16963 is prime!\n",
      "16979 is prime!\n",
      "16981 is prime!\n",
      "16987 is prime!\n",
      "16993 is prime!\n",
      "17011 is prime!\n",
      "17021 is prime!\n",
      "17027 is prime!\n",
      "17029 is prime!\n",
      "17033 is prime!\n",
      "17041 is prime!\n",
      "17047 is prime!\n",
      "17053 is prime!\n",
      "17077 is prime!\n",
      "17093 is prime!\n",
      "17099 is prime!\n",
      "17107 is prime!\n",
      "17117 is prime!\n",
      "17123 is prime!\n",
      "17137 is prime!\n",
      "17159 is prime!\n",
      "17167 is prime!\n",
      "17183 is prime!\n",
      "17189 is prime!\n",
      "17191 is prime!\n",
      "17203 is prime!\n",
      "17207 is prime!\n",
      "17209 is prime!\n",
      "17231 is prime!\n",
      "17239 is prime!\n",
      "17257 is prime!\n",
      "17291 is prime!\n",
      "17293 is prime!\n",
      "17299 is prime!\n",
      "17317 is prime!\n",
      "17321 is prime!\n",
      "17327 is prime!\n",
      "17333 is prime!\n",
      "17341 is prime!\n",
      "17351 is prime!\n",
      "17359 is prime!\n",
      "17377 is prime!\n",
      "17383 is prime!\n",
      "17387 is prime!\n",
      "17389 is prime!\n",
      "17393 is prime!\n",
      "17401 is prime!\n",
      "17417 is prime!\n",
      "17419 is prime!\n",
      "17431 is prime!\n",
      "17443 is prime!\n",
      "17449 is prime!\n",
      "17467 is prime!\n",
      "17471 is prime!\n",
      "17477 is prime!\n",
      "17483 is prime!\n",
      "17489 is prime!\n",
      "17491 is prime!\n",
      "17497 is prime!\n",
      "17509 is prime!\n",
      "17519 is prime!\n",
      "17539 is prime!\n",
      "17551 is prime!\n",
      "17569 is prime!\n",
      "17573 is prime!\n",
      "17579 is prime!\n",
      "17581 is prime!\n",
      "17597 is prime!\n",
      "17599 is prime!\n",
      "17609 is prime!\n",
      "17623 is prime!\n",
      "17627 is prime!\n",
      "17657 is prime!\n",
      "17659 is prime!\n",
      "17669 is prime!\n",
      "17681 is prime!\n",
      "17683 is prime!\n",
      "17707 is prime!\n",
      "17713 is prime!\n",
      "17729 is prime!\n",
      "17737 is prime!\n",
      "17747 is prime!\n",
      "17749 is prime!\n",
      "17761 is prime!\n",
      "17783 is prime!\n",
      "17789 is prime!\n",
      "17791 is prime!\n",
      "17807 is prime!\n",
      "17827 is prime!\n",
      "17837 is prime!\n",
      "17839 is prime!\n",
      "17851 is prime!\n",
      "17863 is prime!\n",
      "17881 is prime!\n",
      "17891 is prime!\n",
      "17903 is prime!\n",
      "17909 is prime!\n",
      "17911 is prime!\n",
      "17921 is prime!\n",
      "17923 is prime!\n",
      "17929 is prime!\n",
      "17939 is prime!\n",
      "17957 is prime!\n",
      "17959 is prime!\n",
      "17971 is prime!\n",
      "17977 is prime!\n",
      "17981 is prime!\n",
      "17987 is prime!\n",
      "17989 is prime!\n",
      "18013 is prime!\n",
      "18041 is prime!\n",
      "18043 is prime!\n",
      "18047 is prime!\n",
      "18049 is prime!\n",
      "18059 is prime!\n",
      "18061 is prime!\n",
      "18077 is prime!\n",
      "18089 is prime!\n",
      "18097 is prime!\n",
      "18119 is prime!\n",
      "18121 is prime!\n",
      "18127 is prime!\n",
      "18131 is prime!\n",
      "18133 is prime!\n",
      "18143 is prime!\n",
      "18149 is prime!\n",
      "18169 is prime!\n",
      "18181 is prime!\n",
      "18191 is prime!\n",
      "18199 is prime!\n",
      "18211 is prime!\n",
      "18217 is prime!\n",
      "18223 is prime!\n",
      "18229 is prime!\n",
      "18233 is prime!\n",
      "18251 is prime!\n",
      "18253 is prime!\n",
      "18257 is prime!\n",
      "18269 is prime!\n",
      "18287 is prime!\n",
      "18289 is prime!\n",
      "18301 is prime!\n",
      "18307 is prime!\n",
      "18311 is prime!\n",
      "18313 is prime!\n",
      "18329 is prime!\n",
      "18341 is prime!\n",
      "18353 is prime!\n",
      "18367 is prime!\n",
      "18371 is prime!\n",
      "18379 is prime!\n",
      "18397 is prime!\n",
      "18401 is prime!\n",
      "18413 is prime!\n",
      "18427 is prime!\n",
      "18433 is prime!\n",
      "18439 is prime!\n",
      "18443 is prime!\n",
      "18451 is prime!\n",
      "18457 is prime!\n",
      "18461 is prime!\n",
      "18481 is prime!\n",
      "18493 is prime!\n",
      "18503 is prime!\n",
      "18517 is prime!\n",
      "18521 is prime!\n",
      "18523 is prime!\n",
      "18539 is prime!\n",
      "18541 is prime!\n",
      "18553 is prime!\n",
      "18583 is prime!\n",
      "18587 is prime!\n",
      "18593 is prime!\n",
      "18617 is prime!\n",
      "18637 is prime!\n",
      "18661 is prime!\n",
      "18671 is prime!\n",
      "18679 is prime!\n",
      "18691 is prime!\n",
      "18701 is prime!\n",
      "18713 is prime!\n",
      "18719 is prime!\n",
      "18731 is prime!\n",
      "18743 is prime!\n",
      "18749 is prime!\n",
      "18757 is prime!\n",
      "18773 is prime!\n",
      "18787 is prime!\n",
      "18793 is prime!\n",
      "18797 is prime!\n",
      "18803 is prime!\n",
      "18839 is prime!\n",
      "18859 is prime!\n",
      "18869 is prime!\n",
      "18899 is prime!\n",
      "18911 is prime!\n",
      "18913 is prime!\n",
      "18917 is prime!\n",
      "18919 is prime!\n",
      "18947 is prime!\n",
      "18959 is prime!\n",
      "18973 is prime!\n",
      "18979 is prime!\n",
      "19001 is prime!\n",
      "19009 is prime!\n",
      "19013 is prime!\n",
      "19031 is prime!\n",
      "19037 is prime!\n",
      "19051 is prime!\n",
      "19069 is prime!\n",
      "19073 is prime!\n",
      "19079 is prime!\n",
      "19081 is prime!\n",
      "19087 is prime!\n",
      "19121 is prime!\n",
      "19139 is prime!\n",
      "19141 is prime!\n",
      "19157 is prime!\n",
      "19163 is prime!\n",
      "19181 is prime!\n",
      "19183 is prime!\n",
      "19207 is prime!\n",
      "19211 is prime!\n",
      "19213 is prime!\n",
      "19219 is prime!\n",
      "19231 is prime!\n",
      "19237 is prime!\n",
      "19249 is prime!\n",
      "19259 is prime!\n",
      "19267 is prime!\n",
      "19273 is prime!\n",
      "19289 is prime!\n",
      "19301 is prime!\n",
      "19309 is prime!\n",
      "19319 is prime!\n",
      "19333 is prime!\n",
      "19373 is prime!\n",
      "19379 is prime!\n",
      "19381 is prime!\n",
      "19387 is prime!\n",
      "19391 is prime!\n",
      "19403 is prime!\n",
      "19417 is prime!\n",
      "19421 is prime!\n",
      "19423 is prime!\n",
      "19427 is prime!\n",
      "19429 is prime!\n",
      "19433 is prime!\n",
      "19441 is prime!\n",
      "19447 is prime!\n",
      "19457 is prime!\n",
      "19463 is prime!\n",
      "19469 is prime!\n",
      "19471 is prime!\n",
      "19477 is prime!\n",
      "19483 is prime!\n",
      "19489 is prime!\n",
      "19501 is prime!\n",
      "19507 is prime!\n",
      "19531 is prime!\n",
      "19541 is prime!\n",
      "19543 is prime!\n",
      "19553 is prime!\n",
      "19559 is prime!\n",
      "19571 is prime!\n",
      "19577 is prime!\n",
      "19583 is prime!\n",
      "19597 is prime!\n",
      "19603 is prime!\n",
      "19609 is prime!\n",
      "19661 is prime!\n",
      "19681 is prime!\n",
      "19687 is prime!\n",
      "19697 is prime!\n",
      "19699 is prime!\n",
      "19709 is prime!\n",
      "19717 is prime!\n",
      "19727 is prime!\n",
      "19739 is prime!\n",
      "19751 is prime!\n",
      "19753 is prime!\n",
      "19759 is prime!\n",
      "19763 is prime!\n",
      "19777 is prime!\n",
      "19793 is prime!\n",
      "19801 is prime!\n",
      "19813 is prime!\n",
      "19819 is prime!\n",
      "19841 is prime!\n",
      "19843 is prime!\n",
      "19853 is prime!\n",
      "19861 is prime!\n",
      "19867 is prime!\n",
      "19889 is prime!\n",
      "19891 is prime!\n",
      "19913 is prime!\n",
      "19919 is prime!\n",
      "19927 is prime!\n",
      "19937 is prime!\n",
      "19949 is prime!\n",
      "19961 is prime!\n",
      "19963 is prime!\n",
      "19973 is prime!\n",
      "19979 is prime!\n",
      "19991 is prime!\n",
      "19993 is prime!\n",
      "19997 is prime!\n",
      "20011 is prime!\n",
      "20021 is prime!\n",
      "20023 is prime!\n",
      "20029 is prime!\n",
      "20047 is prime!\n",
      "20051 is prime!\n",
      "20063 is prime!\n",
      "20071 is prime!\n",
      "20089 is prime!\n",
      "20101 is prime!\n",
      "20107 is prime!\n",
      "20113 is prime!\n",
      "20117 is prime!\n",
      "20123 is prime!\n",
      "20129 is prime!\n",
      "20143 is prime!\n",
      "20147 is prime!\n",
      "20149 is prime!\n",
      "20161 is prime!\n",
      "20173 is prime!\n",
      "20177 is prime!\n",
      "20183 is prime!\n",
      "20201 is prime!\n",
      "20219 is prime!\n",
      "20231 is prime!\n",
      "20233 is prime!\n",
      "20249 is prime!\n",
      "20261 is prime!\n",
      "20269 is prime!\n",
      "20287 is prime!\n",
      "20297 is prime!\n",
      "20323 is prime!\n",
      "20327 is prime!\n",
      "20333 is prime!\n",
      "20341 is prime!\n",
      "20347 is prime!\n",
      "20353 is prime!\n",
      "20357 is prime!\n",
      "20359 is prime!\n",
      "20369 is prime!\n",
      "20389 is prime!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20393 is prime!\n",
      "20399 is prime!\n",
      "20407 is prime!\n",
      "20411 is prime!\n",
      "20431 is prime!\n",
      "20441 is prime!\n",
      "20443 is prime!\n",
      "20477 is prime!\n",
      "20479 is prime!\n",
      "20483 is prime!\n",
      "20507 is prime!\n",
      "20509 is prime!\n",
      "20521 is prime!\n",
      "20533 is prime!\n",
      "20543 is prime!\n",
      "20549 is prime!\n",
      "20551 is prime!\n",
      "20563 is prime!\n",
      "20593 is prime!\n",
      "20599 is prime!\n",
      "20611 is prime!\n",
      "20627 is prime!\n",
      "20639 is prime!\n",
      "20641 is prime!\n",
      "20663 is prime!\n",
      "20681 is prime!\n",
      "20693 is prime!\n",
      "20707 is prime!\n",
      "20717 is prime!\n",
      "20719 is prime!\n",
      "20731 is prime!\n",
      "20743 is prime!\n",
      "20747 is prime!\n",
      "20749 is prime!\n",
      "20753 is prime!\n",
      "20759 is prime!\n",
      "20771 is prime!\n",
      "20773 is prime!\n",
      "20789 is prime!\n",
      "20807 is prime!\n",
      "20809 is prime!\n",
      "20849 is prime!\n",
      "20857 is prime!\n",
      "20873 is prime!\n",
      "20879 is prime!\n",
      "20887 is prime!\n",
      "20897 is prime!\n",
      "20899 is prime!\n",
      "20903 is prime!\n",
      "20921 is prime!\n",
      "20929 is prime!\n",
      "20939 is prime!\n",
      "20947 is prime!\n",
      "20959 is prime!\n",
      "20963 is prime!\n",
      "20981 is prime!\n",
      "20983 is prime!\n",
      "21001 is prime!\n",
      "21011 is prime!\n",
      "21013 is prime!\n",
      "21017 is prime!\n",
      "21019 is prime!\n",
      "21023 is prime!\n",
      "21031 is prime!\n",
      "21059 is prime!\n",
      "21061 is prime!\n",
      "21067 is prime!\n",
      "21089 is prime!\n",
      "21101 is prime!\n",
      "21107 is prime!\n",
      "21121 is prime!\n",
      "21139 is prime!\n",
      "21143 is prime!\n",
      "21149 is prime!\n",
      "21157 is prime!\n",
      "21163 is prime!\n",
      "21169 is prime!\n",
      "21179 is prime!\n",
      "21187 is prime!\n",
      "21191 is prime!\n",
      "21193 is prime!\n",
      "21211 is prime!\n",
      "21221 is prime!\n",
      "21227 is prime!\n",
      "21247 is prime!\n",
      "21269 is prime!\n",
      "21277 is prime!\n",
      "21283 is prime!\n",
      "21313 is prime!\n",
      "21317 is prime!\n",
      "21319 is prime!\n",
      "21323 is prime!\n",
      "21341 is prime!\n",
      "21347 is prime!\n",
      "21377 is prime!\n",
      "21379 is prime!\n",
      "21383 is prime!\n",
      "21391 is prime!\n",
      "21397 is prime!\n",
      "21401 is prime!\n",
      "21407 is prime!\n",
      "21419 is prime!\n",
      "21433 is prime!\n",
      "21467 is prime!\n",
      "21481 is prime!\n",
      "21487 is prime!\n",
      "21491 is prime!\n",
      "21493 is prime!\n",
      "21499 is prime!\n",
      "21503 is prime!\n",
      "21517 is prime!\n",
      "21521 is prime!\n",
      "21523 is prime!\n",
      "21529 is prime!\n",
      "21557 is prime!\n",
      "21559 is prime!\n",
      "21563 is prime!\n",
      "21569 is prime!\n",
      "21577 is prime!\n",
      "21587 is prime!\n",
      "21589 is prime!\n",
      "21599 is prime!\n",
      "21601 is prime!\n",
      "21611 is prime!\n",
      "21613 is prime!\n",
      "21617 is prime!\n",
      "21647 is prime!\n",
      "21649 is prime!\n",
      "21661 is prime!\n",
      "21673 is prime!\n",
      "21683 is prime!\n",
      "21701 is prime!\n",
      "21713 is prime!\n",
      "21727 is prime!\n",
      "21737 is prime!\n",
      "21739 is prime!\n",
      "21751 is prime!\n",
      "21757 is prime!\n",
      "21767 is prime!\n",
      "21773 is prime!\n",
      "21787 is prime!\n",
      "21799 is prime!\n",
      "21803 is prime!\n",
      "21817 is prime!\n",
      "21821 is prime!\n",
      "21839 is prime!\n",
      "21841 is prime!\n",
      "21851 is prime!\n",
      "21859 is prime!\n",
      "21863 is prime!\n",
      "21871 is prime!\n",
      "21881 is prime!\n",
      "21893 is prime!\n",
      "21911 is prime!\n",
      "21929 is prime!\n",
      "21937 is prime!\n",
      "21943 is prime!\n",
      "21961 is prime!\n",
      "21977 is prime!\n",
      "21991 is prime!\n",
      "21997 is prime!\n",
      "22003 is prime!\n",
      "22013 is prime!\n",
      "22027 is prime!\n",
      "22031 is prime!\n",
      "22037 is prime!\n",
      "22039 is prime!\n",
      "22051 is prime!\n",
      "22063 is prime!\n",
      "22067 is prime!\n",
      "22073 is prime!\n",
      "22079 is prime!\n",
      "22091 is prime!\n",
      "22093 is prime!\n",
      "22109 is prime!\n",
      "22111 is prime!\n",
      "22123 is prime!\n",
      "22129 is prime!\n",
      "22133 is prime!\n",
      "22147 is prime!\n",
      "22153 is prime!\n",
      "22157 is prime!\n",
      "22159 is prime!\n",
      "22171 is prime!\n",
      "22189 is prime!\n",
      "22193 is prime!\n",
      "22229 is prime!\n",
      "22247 is prime!\n",
      "22259 is prime!\n",
      "22271 is prime!\n",
      "22273 is prime!\n",
      "22277 is prime!\n",
      "22279 is prime!\n",
      "22283 is prime!\n",
      "22291 is prime!\n",
      "22303 is prime!\n",
      "22307 is prime!\n",
      "22343 is prime!\n",
      "22349 is prime!\n",
      "22367 is prime!\n",
      "22369 is prime!\n",
      "22381 is prime!\n",
      "22391 is prime!\n",
      "22397 is prime!\n",
      "22409 is prime!\n",
      "22433 is prime!\n",
      "22441 is prime!\n",
      "22447 is prime!\n",
      "22453 is prime!\n",
      "22469 is prime!\n",
      "22481 is prime!\n",
      "22483 is prime!\n",
      "22501 is prime!\n",
      "22511 is prime!\n",
      "22531 is prime!\n",
      "22541 is prime!\n",
      "22543 is prime!\n",
      "22549 is prime!\n",
      "22567 is prime!\n",
      "22571 is prime!\n",
      "22573 is prime!\n",
      "22613 is prime!\n",
      "22619 is prime!\n",
      "22621 is prime!\n",
      "22637 is prime!\n",
      "22639 is prime!\n",
      "22643 is prime!\n",
      "22651 is prime!\n",
      "22669 is prime!\n",
      "22679 is prime!\n",
      "22691 is prime!\n",
      "22697 is prime!\n",
      "22699 is prime!\n",
      "22709 is prime!\n",
      "22717 is prime!\n",
      "22721 is prime!\n",
      "22727 is prime!\n",
      "22739 is prime!\n",
      "22741 is prime!\n",
      "22751 is prime!\n",
      "22769 is prime!\n",
      "22777 is prime!\n",
      "22783 is prime!\n",
      "22787 is prime!\n",
      "22807 is prime!\n",
      "22811 is prime!\n",
      "22817 is prime!\n",
      "22853 is prime!\n",
      "22859 is prime!\n",
      "22861 is prime!\n",
      "22871 is prime!\n",
      "22877 is prime!\n",
      "22901 is prime!\n",
      "22907 is prime!\n",
      "22921 is prime!\n",
      "22937 is prime!\n",
      "22943 is prime!\n",
      "22961 is prime!\n",
      "22963 is prime!\n",
      "22973 is prime!\n",
      "22993 is prime!\n",
      "23003 is prime!\n",
      "23011 is prime!\n",
      "23017 is prime!\n",
      "23021 is prime!\n",
      "23027 is prime!\n",
      "23029 is prime!\n",
      "23039 is prime!\n",
      "23041 is prime!\n",
      "23053 is prime!\n",
      "23057 is prime!\n",
      "23059 is prime!\n",
      "23063 is prime!\n",
      "23071 is prime!\n",
      "23081 is prime!\n",
      "23087 is prime!\n",
      "23099 is prime!\n",
      "23117 is prime!\n",
      "23131 is prime!\n",
      "23143 is prime!\n",
      "23159 is prime!\n",
      "23167 is prime!\n",
      "23173 is prime!\n",
      "23189 is prime!\n",
      "23197 is prime!\n",
      "23201 is prime!\n",
      "23203 is prime!\n",
      "23209 is prime!\n",
      "23227 is prime!\n",
      "23251 is prime!\n",
      "23269 is prime!\n",
      "23279 is prime!\n",
      "23291 is prime!\n",
      "23293 is prime!\n",
      "23297 is prime!\n",
      "23311 is prime!\n",
      "23321 is prime!\n",
      "23327 is prime!\n",
      "23333 is prime!\n",
      "23339 is prime!\n",
      "23357 is prime!\n",
      "23369 is prime!\n",
      "23371 is prime!\n",
      "23399 is prime!\n",
      "23417 is prime!\n",
      "23431 is prime!\n",
      "23447 is prime!\n",
      "23459 is prime!\n",
      "23473 is prime!\n",
      "23497 is prime!\n",
      "23509 is prime!\n",
      "23531 is prime!\n",
      "23537 is prime!\n",
      "23539 is prime!\n",
      "23549 is prime!\n",
      "23557 is prime!\n",
      "23561 is prime!\n",
      "23563 is prime!\n",
      "23567 is prime!\n",
      "23581 is prime!\n",
      "23593 is prime!\n",
      "23599 is prime!\n",
      "23603 is prime!\n",
      "23609 is prime!\n",
      "23623 is prime!\n",
      "23627 is prime!\n",
      "23629 is prime!\n",
      "23633 is prime!\n",
      "23663 is prime!\n",
      "23669 is prime!\n",
      "23671 is prime!\n",
      "23677 is prime!\n",
      "23687 is prime!\n",
      "23689 is prime!\n",
      "23719 is prime!\n",
      "23741 is prime!\n",
      "23743 is prime!\n",
      "23747 is prime!\n",
      "23753 is prime!\n",
      "23761 is prime!\n",
      "23767 is prime!\n",
      "23773 is prime!\n",
      "23789 is prime!\n",
      "23801 is prime!\n",
      "23813 is prime!\n",
      "23819 is prime!\n",
      "23827 is prime!\n",
      "23831 is prime!\n",
      "23833 is prime!\n",
      "23857 is prime!\n",
      "23869 is prime!\n",
      "23873 is prime!\n",
      "23879 is prime!\n",
      "23887 is prime!\n",
      "23893 is prime!\n",
      "23899 is prime!\n",
      "23909 is prime!\n",
      "23911 is prime!\n",
      "23917 is prime!\n",
      "23929 is prime!\n",
      "23957 is prime!\n",
      "23971 is prime!\n",
      "23977 is prime!\n",
      "23981 is prime!\n",
      "23993 is prime!\n",
      "24001 is prime!\n",
      "24007 is prime!\n",
      "24019 is prime!\n",
      "24023 is prime!\n",
      "24029 is prime!\n",
      "24043 is prime!\n",
      "24049 is prime!\n",
      "24061 is prime!\n",
      "24071 is prime!\n",
      "24077 is prime!\n",
      "24083 is prime!\n",
      "24091 is prime!\n",
      "24097 is prime!\n",
      "24103 is prime!\n",
      "24107 is prime!\n",
      "24109 is prime!\n",
      "24113 is prime!\n",
      "24121 is prime!\n",
      "24133 is prime!\n",
      "24137 is prime!\n",
      "24151 is prime!\n",
      "24169 is prime!\n",
      "24179 is prime!\n",
      "24181 is prime!\n",
      "24197 is prime!\n",
      "24203 is prime!\n",
      "24223 is prime!\n",
      "24229 is prime!\n",
      "24239 is prime!\n",
      "24247 is prime!\n",
      "24251 is prime!\n",
      "24281 is prime!\n",
      "24317 is prime!\n",
      "24329 is prime!\n",
      "24337 is prime!\n",
      "24359 is prime!\n",
      "24371 is prime!\n",
      "24373 is prime!\n",
      "24379 is prime!\n",
      "24391 is prime!\n",
      "24407 is prime!\n",
      "24413 is prime!\n",
      "24419 is prime!\n",
      "24421 is prime!\n",
      "24439 is prime!\n",
      "24443 is prime!\n",
      "24469 is prime!\n",
      "24473 is prime!\n",
      "24481 is prime!\n",
      "24499 is prime!\n",
      "24509 is prime!\n",
      "24517 is prime!\n",
      "24527 is prime!\n",
      "24533 is prime!\n",
      "24547 is prime!\n",
      "24551 is prime!\n",
      "24571 is prime!\n",
      "24593 is prime!\n",
      "24611 is prime!\n",
      "24623 is prime!\n",
      "24631 is prime!\n",
      "24659 is prime!\n",
      "24671 is prime!\n",
      "24677 is prime!\n",
      "24683 is prime!\n",
      "24691 is prime!\n",
      "24697 is prime!\n",
      "24709 is prime!\n",
      "24733 is prime!\n",
      "24749 is prime!\n",
      "24763 is prime!\n",
      "24767 is prime!\n",
      "24781 is prime!\n",
      "24793 is prime!\n",
      "24799 is prime!\n",
      "24809 is prime!\n",
      "24821 is prime!\n",
      "24841 is prime!\n",
      "24847 is prime!\n",
      "24851 is prime!\n",
      "24859 is prime!\n",
      "24877 is prime!\n",
      "24889 is prime!\n",
      "24907 is prime!\n",
      "24917 is prime!\n",
      "24919 is prime!\n",
      "24923 is prime!\n",
      "24943 is prime!\n",
      "24953 is prime!\n",
      "24967 is prime!\n",
      "24971 is prime!\n",
      "24977 is prime!\n",
      "24979 is prime!\n",
      "24989 is prime!\n",
      "25013 is prime!\n",
      "25031 is prime!\n",
      "25033 is prime!\n",
      "25037 is prime!\n",
      "25057 is prime!\n",
      "25073 is prime!\n",
      "25087 is prime!\n",
      "25097 is prime!\n",
      "25111 is prime!\n",
      "25117 is prime!\n",
      "25121 is prime!\n",
      "25127 is prime!\n",
      "25147 is prime!\n",
      "25153 is prime!\n",
      "25163 is prime!\n",
      "25169 is prime!\n",
      "25171 is prime!\n",
      "25183 is prime!\n",
      "25189 is prime!\n",
      "25219 is prime!\n",
      "25229 is prime!\n",
      "25237 is prime!\n",
      "25243 is prime!\n",
      "25247 is prime!\n",
      "25253 is prime!\n",
      "25261 is prime!\n",
      "25301 is prime!\n",
      "25303 is prime!\n",
      "25307 is prime!\n",
      "25309 is prime!\n",
      "25321 is prime!\n",
      "25339 is prime!\n",
      "25343 is prime!\n",
      "25349 is prime!\n",
      "25357 is prime!\n",
      "25367 is prime!\n",
      "25373 is prime!\n",
      "25391 is prime!\n",
      "25409 is prime!\n",
      "25411 is prime!\n",
      "25423 is prime!\n",
      "25439 is prime!\n",
      "25447 is prime!\n",
      "25453 is prime!\n",
      "25457 is prime!\n",
      "25463 is prime!\n",
      "25469 is prime!\n",
      "25471 is prime!\n",
      "25523 is prime!\n",
      "25537 is prime!\n",
      "25541 is prime!\n",
      "25561 is prime!\n",
      "25577 is prime!\n",
      "25579 is prime!\n",
      "25583 is prime!\n",
      "25589 is prime!\n",
      "25601 is prime!\n",
      "25603 is prime!\n",
      "25609 is prime!\n",
      "25621 is prime!\n",
      "25633 is prime!\n",
      "25639 is prime!\n",
      "25643 is prime!\n",
      "25657 is prime!\n",
      "25667 is prime!\n",
      "25673 is prime!\n",
      "25679 is prime!\n",
      "25693 is prime!\n",
      "25703 is prime!\n",
      "25717 is prime!\n",
      "25733 is prime!\n",
      "25741 is prime!\n",
      "25747 is prime!\n",
      "25759 is prime!\n",
      "25763 is prime!\n",
      "25771 is prime!\n",
      "25793 is prime!\n",
      "25799 is prime!\n",
      "25801 is prime!\n",
      "25819 is prime!\n",
      "25841 is prime!\n",
      "25847 is prime!\n",
      "25849 is prime!\n",
      "25867 is prime!\n",
      "25873 is prime!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25889 is prime!\n",
      "25903 is prime!\n",
      "25913 is prime!\n",
      "25919 is prime!\n",
      "25931 is prime!\n",
      "25933 is prime!\n",
      "25939 is prime!\n",
      "25943 is prime!\n",
      "25951 is prime!\n",
      "25969 is prime!\n",
      "25981 is prime!\n",
      "25997 is prime!\n",
      "25999 is prime!\n",
      "26003 is prime!\n",
      "26017 is prime!\n",
      "26021 is prime!\n",
      "26029 is prime!\n",
      "26041 is prime!\n",
      "26053 is prime!\n",
      "26083 is prime!\n",
      "26099 is prime!\n",
      "26107 is prime!\n",
      "26111 is prime!\n",
      "26113 is prime!\n",
      "26119 is prime!\n",
      "26141 is prime!\n",
      "26153 is prime!\n",
      "26161 is prime!\n",
      "26171 is prime!\n",
      "26177 is prime!\n",
      "26183 is prime!\n",
      "26189 is prime!\n",
      "26203 is prime!\n",
      "26209 is prime!\n",
      "26227 is prime!\n",
      "26237 is prime!\n",
      "26249 is prime!\n",
      "26251 is prime!\n",
      "26261 is prime!\n",
      "26263 is prime!\n",
      "26267 is prime!\n",
      "26293 is prime!\n",
      "26297 is prime!\n",
      "26309 is prime!\n",
      "26317 is prime!\n",
      "26321 is prime!\n",
      "26339 is prime!\n",
      "26347 is prime!\n",
      "26357 is prime!\n",
      "26371 is prime!\n",
      "26387 is prime!\n",
      "26393 is prime!\n",
      "26399 is prime!\n",
      "26407 is prime!\n",
      "26417 is prime!\n",
      "26423 is prime!\n",
      "26431 is prime!\n",
      "26437 is prime!\n",
      "26449 is prime!\n",
      "26459 is prime!\n",
      "26479 is prime!\n",
      "26489 is prime!\n",
      "26497 is prime!\n",
      "26501 is prime!\n",
      "26513 is prime!\n",
      "26539 is prime!\n",
      "26557 is prime!\n",
      "26561 is prime!\n",
      "26573 is prime!\n",
      "26591 is prime!\n",
      "26597 is prime!\n",
      "26627 is prime!\n",
      "26633 is prime!\n",
      "26641 is prime!\n",
      "26647 is prime!\n",
      "26669 is prime!\n",
      "26681 is prime!\n",
      "26683 is prime!\n",
      "26687 is prime!\n",
      "26693 is prime!\n",
      "26699 is prime!\n",
      "26701 is prime!\n",
      "26711 is prime!\n",
      "26713 is prime!\n",
      "26717 is prime!\n",
      "26723 is prime!\n",
      "26729 is prime!\n",
      "26731 is prime!\n",
      "26737 is prime!\n",
      "26759 is prime!\n",
      "26777 is prime!\n",
      "26783 is prime!\n",
      "26801 is prime!\n",
      "26813 is prime!\n",
      "26821 is prime!\n",
      "26833 is prime!\n",
      "26839 is prime!\n",
      "26849 is prime!\n",
      "26861 is prime!\n",
      "26863 is prime!\n",
      "26879 is prime!\n",
      "26881 is prime!\n",
      "26891 is prime!\n",
      "26893 is prime!\n",
      "26903 is prime!\n",
      "26921 is prime!\n",
      "26927 is prime!\n",
      "26947 is prime!\n",
      "26951 is prime!\n",
      "26953 is prime!\n",
      "26959 is prime!\n",
      "26981 is prime!\n",
      "26987 is prime!\n",
      "26993 is prime!\n",
      "27011 is prime!\n",
      "27017 is prime!\n",
      "27031 is prime!\n",
      "27043 is prime!\n",
      "27059 is prime!\n",
      "27061 is prime!\n",
      "27067 is prime!\n",
      "27073 is prime!\n",
      "27077 is prime!\n",
      "27091 is prime!\n",
      "27103 is prime!\n",
      "27107 is prime!\n",
      "27109 is prime!\n",
      "27127 is prime!\n",
      "27143 is prime!\n",
      "27179 is prime!\n",
      "27191 is prime!\n",
      "27197 is prime!\n",
      "27211 is prime!\n",
      "27239 is prime!\n",
      "27241 is prime!\n",
      "27253 is prime!\n",
      "27259 is prime!\n",
      "27271 is prime!\n",
      "27277 is prime!\n",
      "27281 is prime!\n",
      "27283 is prime!\n",
      "27299 is prime!\n",
      "27329 is prime!\n",
      "27337 is prime!\n",
      "27361 is prime!\n",
      "27367 is prime!\n",
      "27397 is prime!\n",
      "27407 is prime!\n",
      "27409 is prime!\n",
      "27427 is prime!\n",
      "27431 is prime!\n",
      "27437 is prime!\n",
      "27449 is prime!\n",
      "27457 is prime!\n",
      "27479 is prime!\n",
      "27481 is prime!\n",
      "27487 is prime!\n",
      "27509 is prime!\n",
      "27527 is prime!\n",
      "27529 is prime!\n",
      "27539 is prime!\n",
      "27541 is prime!\n",
      "27551 is prime!\n",
      "27581 is prime!\n",
      "27583 is prime!\n",
      "27611 is prime!\n",
      "27617 is prime!\n",
      "27631 is prime!\n",
      "27647 is prime!\n",
      "27653 is prime!\n",
      "27673 is prime!\n",
      "27689 is prime!\n",
      "27691 is prime!\n",
      "27697 is prime!\n",
      "27701 is prime!\n",
      "27733 is prime!\n",
      "27737 is prime!\n",
      "27739 is prime!\n",
      "27743 is prime!\n",
      "27749 is prime!\n",
      "27751 is prime!\n",
      "27763 is prime!\n",
      "27767 is prime!\n",
      "27773 is prime!\n",
      "27779 is prime!\n",
      "27791 is prime!\n",
      "27793 is prime!\n",
      "27799 is prime!\n",
      "27803 is prime!\n",
      "27809 is prime!\n",
      "27817 is prime!\n",
      "27823 is prime!\n",
      "27827 is prime!\n",
      "27847 is prime!\n",
      "27851 is prime!\n",
      "27883 is prime!\n",
      "27893 is prime!\n",
      "27901 is prime!\n",
      "27917 is prime!\n",
      "27919 is prime!\n",
      "27941 is prime!\n",
      "27943 is prime!\n",
      "27947 is prime!\n",
      "27953 is prime!\n",
      "27961 is prime!\n",
      "27967 is prime!\n",
      "27983 is prime!\n",
      "27997 is prime!\n",
      "28001 is prime!\n",
      "28019 is prime!\n",
      "28027 is prime!\n",
      "28031 is prime!\n",
      "28051 is prime!\n",
      "28057 is prime!\n",
      "28069 is prime!\n",
      "28081 is prime!\n",
      "28087 is prime!\n",
      "28097 is prime!\n",
      "28099 is prime!\n",
      "28109 is prime!\n",
      "28111 is prime!\n",
      "28123 is prime!\n",
      "28151 is prime!\n",
      "28163 is prime!\n",
      "28181 is prime!\n",
      "28183 is prime!\n",
      "28201 is prime!\n",
      "28211 is prime!\n",
      "28219 is prime!\n",
      "28229 is prime!\n",
      "28277 is prime!\n",
      "28279 is prime!\n",
      "28283 is prime!\n",
      "28289 is prime!\n",
      "28297 is prime!\n",
      "28307 is prime!\n",
      "28309 is prime!\n",
      "28319 is prime!\n",
      "28349 is prime!\n",
      "28351 is prime!\n",
      "28387 is prime!\n",
      "28393 is prime!\n",
      "28403 is prime!\n",
      "28409 is prime!\n",
      "28411 is prime!\n",
      "28429 is prime!\n",
      "28433 is prime!\n",
      "28439 is prime!\n",
      "28447 is prime!\n",
      "28463 is prime!\n",
      "28477 is prime!\n",
      "28493 is prime!\n",
      "28499 is prime!\n",
      "28513 is prime!\n",
      "28517 is prime!\n",
      "28537 is prime!\n",
      "28541 is prime!\n",
      "28547 is prime!\n",
      "28549 is prime!\n",
      "28559 is prime!\n",
      "28571 is prime!\n",
      "28573 is prime!\n",
      "28579 is prime!\n",
      "28591 is prime!\n",
      "28597 is prime!\n",
      "28603 is prime!\n",
      "28607 is prime!\n",
      "28619 is prime!\n",
      "28621 is prime!\n",
      "28627 is prime!\n",
      "28631 is prime!\n",
      "28643 is prime!\n",
      "28649 is prime!\n",
      "28657 is prime!\n",
      "28661 is prime!\n",
      "28663 is prime!\n",
      "28669 is prime!\n",
      "28687 is prime!\n",
      "28697 is prime!\n",
      "28703 is prime!\n",
      "28711 is prime!\n",
      "28723 is prime!\n",
      "28729 is prime!\n",
      "28751 is prime!\n",
      "28753 is prime!\n",
      "28759 is prime!\n",
      "28771 is prime!\n",
      "28789 is prime!\n",
      "28793 is prime!\n",
      "28807 is prime!\n",
      "28813 is prime!\n",
      "28817 is prime!\n",
      "28837 is prime!\n",
      "28843 is prime!\n",
      "28859 is prime!\n",
      "28867 is prime!\n",
      "28871 is prime!\n",
      "28879 is prime!\n",
      "28901 is prime!\n",
      "28909 is prime!\n",
      "28921 is prime!\n",
      "28927 is prime!\n",
      "28933 is prime!\n",
      "28949 is prime!\n",
      "28961 is prime!\n",
      "28979 is prime!\n",
      "29009 is prime!\n",
      "29017 is prime!\n",
      "29021 is prime!\n",
      "29023 is prime!\n",
      "29027 is prime!\n",
      "29033 is prime!\n",
      "29059 is prime!\n",
      "29063 is prime!\n",
      "29077 is prime!\n",
      "29101 is prime!\n",
      "29123 is prime!\n",
      "29129 is prime!\n",
      "29131 is prime!\n",
      "29137 is prime!\n",
      "29147 is prime!\n",
      "29153 is prime!\n",
      "29167 is prime!\n",
      "29173 is prime!\n",
      "29179 is prime!\n",
      "29191 is prime!\n",
      "29201 is prime!\n",
      "29207 is prime!\n",
      "29209 is prime!\n",
      "29221 is prime!\n",
      "29231 is prime!\n",
      "29243 is prime!\n",
      "29251 is prime!\n",
      "29269 is prime!\n",
      "29287 is prime!\n",
      "29297 is prime!\n",
      "29303 is prime!\n",
      "29311 is prime!\n",
      "29327 is prime!\n",
      "29333 is prime!\n",
      "29339 is prime!\n",
      "29347 is prime!\n",
      "29363 is prime!\n",
      "29383 is prime!\n",
      "29387 is prime!\n",
      "29389 is prime!\n",
      "29399 is prime!\n",
      "29401 is prime!\n",
      "29411 is prime!\n",
      "29423 is prime!\n",
      "29429 is prime!\n",
      "29437 is prime!\n",
      "29443 is prime!\n",
      "29453 is prime!\n",
      "29473 is prime!\n",
      "29483 is prime!\n",
      "29501 is prime!\n",
      "29527 is prime!\n",
      "29531 is prime!\n",
      "29537 is prime!\n",
      "29567 is prime!\n",
      "29569 is prime!\n",
      "29573 is prime!\n",
      "29581 is prime!\n",
      "29587 is prime!\n",
      "29599 is prime!\n",
      "29611 is prime!\n",
      "29629 is prime!\n",
      "29633 is prime!\n",
      "29641 is prime!\n",
      "29663 is prime!\n",
      "29669 is prime!\n",
      "29671 is prime!\n",
      "29683 is prime!\n",
      "29717 is prime!\n",
      "29723 is prime!\n",
      "29741 is prime!\n",
      "29753 is prime!\n",
      "29759 is prime!\n",
      "29761 is prime!\n",
      "29789 is prime!\n",
      "29803 is prime!\n",
      "29819 is prime!\n",
      "29833 is prime!\n",
      "29837 is prime!\n",
      "29851 is prime!\n",
      "29863 is prime!\n",
      "29867 is prime!\n",
      "29873 is prime!\n",
      "29879 is prime!\n",
      "29881 is prime!\n",
      "29917 is prime!\n",
      "29921 is prime!\n",
      "29927 is prime!\n",
      "29947 is prime!\n",
      "29959 is prime!\n",
      "29983 is prime!\n",
      "29989 is prime!\n",
      "30011 is prime!\n",
      "30013 is prime!\n",
      "30029 is prime!\n",
      "30047 is prime!\n",
      "30059 is prime!\n",
      "30071 is prime!\n",
      "30089 is prime!\n",
      "30091 is prime!\n",
      "30097 is prime!\n",
      "30103 is prime!\n",
      "30109 is prime!\n",
      "30113 is prime!\n",
      "30119 is prime!\n",
      "30133 is prime!\n",
      "30137 is prime!\n",
      "30139 is prime!\n",
      "30161 is prime!\n",
      "30169 is prime!\n",
      "30181 is prime!\n",
      "30187 is prime!\n",
      "30197 is prime!\n",
      "30203 is prime!\n",
      "30211 is prime!\n",
      "30223 is prime!\n",
      "30241 is prime!\n",
      "30253 is prime!\n",
      "30259 is prime!\n",
      "30269 is prime!\n",
      "30271 is prime!\n",
      "30293 is prime!\n",
      "30307 is prime!\n",
      "30313 is prime!\n",
      "30319 is prime!\n",
      "30323 is prime!\n",
      "30341 is prime!\n",
      "30347 is prime!\n",
      "30367 is prime!\n",
      "30389 is prime!\n",
      "30391 is prime!\n",
      "30403 is prime!\n",
      "30427 is prime!\n",
      "30431 is prime!\n",
      "30449 is prime!\n",
      "30467 is prime!\n",
      "30469 is prime!\n",
      "30491 is prime!\n",
      "30493 is prime!\n",
      "30497 is prime!\n",
      "30509 is prime!\n",
      "30517 is prime!\n",
      "30529 is prime!\n",
      "30539 is prime!\n",
      "30553 is prime!\n",
      "30557 is prime!\n",
      "30559 is prime!\n",
      "30577 is prime!\n",
      "30593 is prime!\n",
      "30631 is prime!\n",
      "30637 is prime!\n",
      "30643 is prime!\n",
      "30649 is prime!\n",
      "30661 is prime!\n",
      "30671 is prime!\n",
      "30677 is prime!\n",
      "30689 is prime!\n",
      "30697 is prime!\n",
      "30703 is prime!\n",
      "30707 is prime!\n",
      "30713 is prime!\n",
      "30727 is prime!\n",
      "30757 is prime!\n",
      "30763 is prime!\n",
      "30773 is prime!\n",
      "30781 is prime!\n",
      "30803 is prime!\n",
      "30809 is prime!\n",
      "30817 is prime!\n",
      "30829 is prime!\n",
      "30839 is prime!\n",
      "30841 is prime!\n",
      "30851 is prime!\n",
      "30853 is prime!\n",
      "30859 is prime!\n",
      "30869 is prime!\n",
      "30871 is prime!\n",
      "30881 is prime!\n",
      "30893 is prime!\n",
      "30911 is prime!\n",
      "30931 is prime!\n",
      "30937 is prime!\n",
      "30941 is prime!\n",
      "30949 is prime!\n",
      "30971 is prime!\n",
      "30977 is prime!\n",
      "30983 is prime!\n",
      "31013 is prime!\n",
      "31019 is prime!\n",
      "31033 is prime!\n",
      "31039 is prime!\n",
      "31051 is prime!\n",
      "31063 is prime!\n",
      "31069 is prime!\n",
      "31079 is prime!\n",
      "31081 is prime!\n",
      "31091 is prime!\n",
      "31121 is prime!\n",
      "31123 is prime!\n",
      "31139 is prime!\n",
      "31147 is prime!\n",
      "31151 is prime!\n",
      "31153 is prime!\n",
      "31159 is prime!\n",
      "31177 is prime!\n",
      "31181 is prime!\n",
      "31183 is prime!\n",
      "31189 is prime!\n",
      "31193 is prime!\n",
      "31219 is prime!\n",
      "31223 is prime!\n",
      "31231 is prime!\n",
      "31237 is prime!\n",
      "31247 is prime!\n",
      "31249 is prime!\n",
      "31253 is prime!\n",
      "31259 is prime!\n",
      "31267 is prime!\n",
      "31271 is prime!\n",
      "31277 is prime!\n",
      "31307 is prime!\n",
      "31319 is prime!\n",
      "31321 is prime!\n",
      "31327 is prime!\n",
      "31333 is prime!\n",
      "31337 is prime!\n",
      "31357 is prime!\n",
      "31379 is prime!\n",
      "31387 is prime!\n",
      "31391 is prime!\n",
      "31393 is prime!\n",
      "31397 is prime!\n",
      "31469 is prime!\n",
      "31477 is prime!\n",
      "31481 is prime!\n",
      "31489 is prime!\n",
      "31511 is prime!\n",
      "31513 is prime!\n",
      "31517 is prime!\n",
      "31531 is prime!\n",
      "31541 is prime!\n",
      "31543 is prime!\n",
      "31547 is prime!\n",
      "31567 is prime!\n",
      "31573 is prime!\n",
      "31583 is prime!\n",
      "31601 is prime!\n",
      "31607 is prime!\n",
      "31627 is prime!\n",
      "31643 is prime!\n",
      "31649 is prime!\n",
      "31657 is prime!\n",
      "31663 is prime!\n",
      "31667 is prime!\n",
      "31687 is prime!\n",
      "31699 is prime!\n",
      "31721 is prime!\n",
      "31723 is prime!\n",
      "31727 is prime!\n",
      "31729 is prime!\n",
      "31741 is prime!\n",
      "31751 is prime!\n",
      "31769 is prime!\n",
      "31771 is prime!\n",
      "31793 is prime!\n",
      "31799 is prime!\n",
      "31817 is prime!\n",
      "31847 is prime!\n",
      "31849 is prime!\n",
      "31859 is prime!\n",
      "31873 is prime!\n",
      "31883 is prime!\n",
      "31891 is prime!\n",
      "31907 is prime!\n",
      "31957 is prime!\n",
      "31963 is prime!\n",
      "31973 is prime!\n",
      "31981 is prime!\n",
      "31991 is prime!\n",
      "32003 is prime!\n",
      "32009 is prime!\n",
      "32027 is prime!\n",
      "32029 is prime!\n",
      "32051 is prime!\n",
      "32057 is prime!\n",
      "32059 is prime!\n",
      "32063 is prime!\n",
      "32069 is prime!\n",
      "32077 is prime!\n",
      "32083 is prime!\n",
      "32089 is prime!\n",
      "32099 is prime!\n",
      "32117 is prime!\n",
      "32119 is prime!\n",
      "32141 is prime!\n",
      "32143 is prime!\n",
      "32159 is prime!\n",
      "32173 is prime!\n",
      "32183 is prime!\n",
      "32189 is prime!\n",
      "32191 is prime!\n",
      "32203 is prime!\n",
      "32213 is prime!\n",
      "32233 is prime!\n",
      "32237 is prime!\n",
      "32251 is prime!\n",
      "32257 is prime!\n",
      "32261 is prime!\n",
      "32297 is prime!\n",
      "32299 is prime!\n",
      "32303 is prime!\n",
      "32309 is prime!\n",
      "32321 is prime!\n",
      "32323 is prime!\n",
      "32327 is prime!\n",
      "32341 is prime!\n",
      "32353 is prime!\n",
      "32359 is prime!\n",
      "32363 is prime!\n",
      "32369 is prime!\n",
      "32371 is prime!\n",
      "32377 is prime!\n",
      "32381 is prime!\n",
      "32401 is prime!\n",
      "32411 is prime!\n",
      "32413 is prime!\n",
      "32423 is prime!\n",
      "32429 is prime!\n",
      "32441 is prime!\n",
      "32443 is prime!\n",
      "32467 is prime!\n",
      "32479 is prime!\n",
      "32491 is prime!\n",
      "32497 is prime!\n",
      "32503 is prime!\n",
      "32507 is prime!\n",
      "32531 is prime!\n",
      "32533 is prime!\n",
      "32537 is prime!\n",
      "32561 is prime!\n",
      "32563 is prime!\n",
      "32569 is prime!\n",
      "32573 is prime!\n",
      "32579 is prime!\n",
      "32587 is prime!\n",
      "32603 is prime!\n",
      "32609 is prime!\n",
      "32611 is prime!\n",
      "32621 is prime!\n",
      "32633 is prime!\n",
      "32647 is prime!\n",
      "32653 is prime!\n",
      "32687 is prime!\n",
      "32693 is prime!\n",
      "32707 is prime!\n",
      "32713 is prime!\n",
      "32717 is prime!\n",
      "32719 is prime!\n",
      "32749 is prime!\n",
      "32771 is prime!\n",
      "32779 is prime!\n",
      "32783 is prime!\n",
      "32789 is prime!\n",
      "32797 is prime!\n",
      "32801 is prime!\n",
      "32803 is prime!\n",
      "32831 is prime!\n",
      "32833 is prime!\n",
      "32839 is prime!\n",
      "32843 is prime!\n",
      "32869 is prime!\n",
      "32887 is prime!\n",
      "32909 is prime!\n",
      "32911 is prime!\n",
      "32917 is prime!\n",
      "32933 is prime!\n",
      "32939 is prime!\n",
      "32941 is prime!\n",
      "32957 is prime!\n",
      "32969 is prime!\n",
      "32971 is prime!\n",
      "32983 is prime!\n",
      "32987 is prime!\n",
      "32993 is prime!\n",
      "32999 is prime!\n",
      "33013 is prime!\n",
      "33023 is prime!\n",
      "33029 is prime!\n",
      "33037 is prime!\n",
      "33049 is prime!\n",
      "33053 is prime!\n",
      "33071 is prime!\n",
      "33073 is prime!\n",
      "33083 is prime!\n",
      "33091 is prime!\n",
      "33107 is prime!\n",
      "33113 is prime!\n",
      "33119 is prime!\n",
      "33149 is prime!\n",
      "33151 is prime!\n",
      "33161 is prime!\n",
      "33179 is prime!\n",
      "33181 is prime!\n",
      "33191 is prime!\n",
      "33199 is prime!\n",
      "33203 is prime!\n",
      "33211 is prime!\n",
      "33223 is prime!\n",
      "33247 is prime!\n",
      "33287 is prime!\n",
      "33289 is prime!\n",
      "33301 is prime!\n",
      "33311 is prime!\n",
      "33317 is prime!\n",
      "33329 is prime!\n",
      "33331 is prime!\n",
      "33343 is prime!\n",
      "33347 is prime!\n",
      "33349 is prime!\n",
      "33353 is prime!\n",
      "33359 is prime!\n",
      "33377 is prime!\n",
      "33391 is prime!\n",
      "33403 is prime!\n",
      "33409 is prime!\n",
      "33413 is prime!\n",
      "33427 is prime!\n",
      "33457 is prime!\n",
      "33461 is prime!\n",
      "33469 is prime!\n",
      "33479 is prime!\n",
      "33487 is prime!\n",
      "33493 is prime!\n",
      "33503 is prime!\n",
      "33521 is prime!\n",
      "33529 is prime!\n",
      "33533 is prime!\n",
      "33547 is prime!\n",
      "33563 is prime!\n",
      "33569 is prime!\n",
      "33577 is prime!\n",
      "33581 is prime!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "33587 is prime!\n",
      "33589 is prime!\n",
      "33599 is prime!\n",
      "33601 is prime!\n",
      "33613 is prime!\n",
      "33617 is prime!\n",
      "33619 is prime!\n",
      "33623 is prime!\n",
      "33629 is prime!\n",
      "33637 is prime!\n",
      "33641 is prime!\n",
      "33647 is prime!\n",
      "33679 is prime!\n",
      "33703 is prime!\n",
      "33713 is prime!\n",
      "33721 is prime!\n",
      "33739 is prime!\n",
      "33749 is prime!\n",
      "33751 is prime!\n",
      "33757 is prime!\n",
      "33767 is prime!\n",
      "33769 is prime!\n",
      "33773 is prime!\n",
      "33791 is prime!\n",
      "33797 is prime!\n",
      "33809 is prime!\n",
      "33811 is prime!\n",
      "33827 is prime!\n",
      "33829 is prime!\n",
      "33851 is prime!\n",
      "33857 is prime!\n",
      "33863 is prime!\n",
      "33871 is prime!\n",
      "33889 is prime!\n",
      "33893 is prime!\n",
      "33911 is prime!\n",
      "33923 is prime!\n",
      "33931 is prime!\n",
      "33937 is prime!\n",
      "33941 is prime!\n",
      "33961 is prime!\n",
      "33967 is prime!\n",
      "33997 is prime!\n",
      "34019 is prime!\n",
      "34031 is prime!\n",
      "34033 is prime!\n",
      "34039 is prime!\n",
      "34057 is prime!\n",
      "34061 is prime!\n",
      "34123 is prime!\n",
      "34127 is prime!\n",
      "34129 is prime!\n",
      "34141 is prime!\n",
      "34147 is prime!\n",
      "34157 is prime!\n",
      "34159 is prime!\n",
      "34171 is prime!\n",
      "34183 is prime!\n",
      "34211 is prime!\n",
      "34213 is prime!\n",
      "34217 is prime!\n",
      "34231 is prime!\n",
      "34253 is prime!\n",
      "34259 is prime!\n",
      "34261 is prime!\n",
      "34267 is prime!\n",
      "34273 is prime!\n",
      "34283 is prime!\n",
      "34297 is prime!\n",
      "34301 is prime!\n",
      "34303 is prime!\n",
      "34313 is prime!\n",
      "34319 is prime!\n",
      "34327 is prime!\n",
      "34337 is prime!\n",
      "34351 is prime!\n",
      "34361 is prime!\n",
      "34367 is prime!\n",
      "34369 is prime!\n",
      "34381 is prime!\n",
      "34403 is prime!\n",
      "34421 is prime!\n",
      "34429 is prime!\n",
      "34439 is prime!\n",
      "34457 is prime!\n",
      "34469 is prime!\n",
      "34471 is prime!\n",
      "34483 is prime!\n",
      "34487 is prime!\n",
      "34499 is prime!\n",
      "34501 is prime!\n",
      "34511 is prime!\n",
      "34513 is prime!\n",
      "34519 is prime!\n",
      "34537 is prime!\n",
      "34543 is prime!\n",
      "34549 is prime!\n",
      "34583 is prime!\n",
      "34589 is prime!\n",
      "34591 is prime!\n",
      "34603 is prime!\n",
      "34607 is prime!\n",
      "34613 is prime!\n",
      "34631 is prime!\n",
      "34649 is prime!\n",
      "34651 is prime!\n",
      "34667 is prime!\n",
      "34673 is prime!\n",
      "34679 is prime!\n",
      "34687 is prime!\n",
      "34693 is prime!\n",
      "34703 is prime!\n",
      "34721 is prime!\n",
      "34729 is prime!\n",
      "34739 is prime!\n",
      "34747 is prime!\n",
      "34757 is prime!\n",
      "34759 is prime!\n",
      "34763 is prime!\n",
      "34781 is prime!\n",
      "34807 is prime!\n",
      "34819 is prime!\n",
      "34841 is prime!\n",
      "34843 is prime!\n",
      "34847 is prime!\n",
      "34849 is prime!\n",
      "34871 is prime!\n",
      "34877 is prime!\n",
      "34883 is prime!\n",
      "34897 is prime!\n",
      "34913 is prime!\n",
      "34919 is prime!\n",
      "34939 is prime!\n",
      "34949 is prime!\n",
      "34961 is prime!\n",
      "34963 is prime!\n",
      "34981 is prime!\n",
      "35023 is prime!\n",
      "35027 is prime!\n",
      "35051 is prime!\n",
      "35053 is prime!\n",
      "35059 is prime!\n",
      "35069 is prime!\n",
      "35081 is prime!\n",
      "35083 is prime!\n",
      "35089 is prime!\n",
      "35099 is prime!\n",
      "35107 is prime!\n",
      "35111 is prime!\n",
      "35117 is prime!\n",
      "35129 is prime!\n",
      "35141 is prime!\n",
      "35149 is prime!\n",
      "35153 is prime!\n",
      "35159 is prime!\n",
      "35171 is prime!\n",
      "35201 is prime!\n",
      "35221 is prime!\n",
      "35227 is prime!\n",
      "35251 is prime!\n",
      "35257 is prime!\n",
      "35267 is prime!\n",
      "35279 is prime!\n",
      "35281 is prime!\n",
      "35291 is prime!\n",
      "35311 is prime!\n",
      "35317 is prime!\n",
      "35323 is prime!\n",
      "35327 is prime!\n",
      "35339 is prime!\n",
      "35353 is prime!\n",
      "35363 is prime!\n",
      "35381 is prime!\n",
      "35393 is prime!\n",
      "35401 is prime!\n",
      "35407 is prime!\n",
      "35419 is prime!\n",
      "35423 is prime!\n",
      "35437 is prime!\n",
      "35447 is prime!\n",
      "35449 is prime!\n",
      "35461 is prime!\n",
      "35491 is prime!\n",
      "35507 is prime!\n",
      "35509 is prime!\n",
      "35521 is prime!\n",
      "35527 is prime!\n",
      "35531 is prime!\n",
      "35533 is prime!\n",
      "35537 is prime!\n",
      "35543 is prime!\n",
      "35569 is prime!\n",
      "35573 is prime!\n",
      "35591 is prime!\n",
      "35593 is prime!\n",
      "35597 is prime!\n",
      "35603 is prime!\n",
      "35617 is prime!\n",
      "35671 is prime!\n",
      "35677 is prime!\n",
      "35729 is prime!\n",
      "35731 is prime!\n",
      "35747 is prime!\n",
      "35753 is prime!\n",
      "35759 is prime!\n",
      "35771 is prime!\n",
      "35797 is prime!\n",
      "35801 is prime!\n",
      "35803 is prime!\n",
      "35809 is prime!\n",
      "35831 is prime!\n",
      "35837 is prime!\n",
      "35839 is prime!\n",
      "35851 is prime!\n",
      "35863 is prime!\n",
      "35869 is prime!\n",
      "35879 is prime!\n",
      "35897 is prime!\n",
      "35899 is prime!\n",
      "35911 is prime!\n",
      "35923 is prime!\n",
      "35933 is prime!\n",
      "35951 is prime!\n",
      "35963 is prime!\n",
      "35969 is prime!\n",
      "35977 is prime!\n",
      "35983 is prime!\n",
      "35993 is prime!\n",
      "35999 is prime!\n",
      "36007 is prime!\n",
      "36011 is prime!\n",
      "36013 is prime!\n",
      "36017 is prime!\n",
      "36037 is prime!\n",
      "36061 is prime!\n",
      "36067 is prime!\n",
      "36073 is prime!\n",
      "36083 is prime!\n",
      "36097 is prime!\n",
      "36107 is prime!\n",
      "36109 is prime!\n",
      "36131 is prime!\n",
      "36137 is prime!\n",
      "36151 is prime!\n",
      "36161 is prime!\n",
      "36187 is prime!\n",
      "36191 is prime!\n",
      "36209 is prime!\n",
      "36217 is prime!\n",
      "36229 is prime!\n",
      "36241 is prime!\n",
      "36251 is prime!\n",
      "36263 is prime!\n",
      "36269 is prime!\n",
      "36277 is prime!\n",
      "36293 is prime!\n",
      "36299 is prime!\n",
      "36307 is prime!\n",
      "36313 is prime!\n",
      "36319 is prime!\n",
      "36341 is prime!\n",
      "36343 is prime!\n",
      "36353 is prime!\n",
      "36373 is prime!\n",
      "36383 is prime!\n",
      "36389 is prime!\n",
      "36433 is prime!\n",
      "36451 is prime!\n",
      "36457 is prime!\n",
      "36467 is prime!\n",
      "36469 is prime!\n",
      "36473 is prime!\n",
      "36479 is prime!\n",
      "36493 is prime!\n",
      "36497 is prime!\n",
      "36523 is prime!\n",
      "36527 is prime!\n",
      "36529 is prime!\n",
      "36541 is prime!\n",
      "36551 is prime!\n",
      "36559 is prime!\n",
      "36563 is prime!\n",
      "36571 is prime!\n",
      "36583 is prime!\n",
      "36587 is prime!\n",
      "36599 is prime!\n",
      "36607 is prime!\n",
      "36629 is prime!\n",
      "36637 is prime!\n",
      "36643 is prime!\n",
      "36653 is prime!\n",
      "36671 is prime!\n",
      "36677 is prime!\n",
      "36683 is prime!\n",
      "36691 is prime!\n",
      "36697 is prime!\n",
      "36709 is prime!\n",
      "36713 is prime!\n",
      "36721 is prime!\n",
      "36739 is prime!\n",
      "36749 is prime!\n",
      "36761 is prime!\n",
      "36767 is prime!\n",
      "36779 is prime!\n",
      "36781 is prime!\n",
      "36787 is prime!\n",
      "36791 is prime!\n",
      "36793 is prime!\n",
      "36809 is prime!\n",
      "36821 is prime!\n",
      "36833 is prime!\n",
      "36847 is prime!\n",
      "36857 is prime!\n",
      "36871 is prime!\n",
      "36877 is prime!\n",
      "36887 is prime!\n",
      "36899 is prime!\n",
      "36901 is prime!\n",
      "36913 is prime!\n",
      "36919 is prime!\n",
      "36923 is prime!\n",
      "36929 is prime!\n",
      "36931 is prime!\n",
      "36943 is prime!\n",
      "36947 is prime!\n",
      "36973 is prime!\n",
      "36979 is prime!\n",
      "36997 is prime!\n",
      "37003 is prime!\n",
      "37013 is prime!\n",
      "37019 is prime!\n",
      "37021 is prime!\n",
      "37039 is prime!\n",
      "37049 is prime!\n",
      "37057 is prime!\n",
      "37061 is prime!\n",
      "37087 is prime!\n",
      "37097 is prime!\n",
      "37117 is prime!\n",
      "37123 is prime!\n",
      "37139 is prime!\n",
      "37159 is prime!\n",
      "37171 is prime!\n",
      "37181 is prime!\n",
      "37189 is prime!\n",
      "37199 is prime!\n",
      "37201 is prime!\n",
      "37217 is prime!\n",
      "37223 is prime!\n",
      "37243 is prime!\n",
      "37253 is prime!\n",
      "37273 is prime!\n",
      "37277 is prime!\n",
      "37307 is prime!\n",
      "37309 is prime!\n",
      "37313 is prime!\n",
      "37321 is prime!\n",
      "37337 is prime!\n",
      "37339 is prime!\n",
      "37357 is prime!\n",
      "37361 is prime!\n",
      "37363 is prime!\n",
      "37369 is prime!\n",
      "37379 is prime!\n",
      "37397 is prime!\n",
      "37409 is prime!\n",
      "37423 is prime!\n",
      "37441 is prime!\n",
      "37447 is prime!\n",
      "37463 is prime!\n",
      "37483 is prime!\n",
      "37489 is prime!\n",
      "37493 is prime!\n",
      "37501 is prime!\n",
      "37507 is prime!\n",
      "37511 is prime!\n",
      "37517 is prime!\n",
      "37529 is prime!\n",
      "37537 is prime!\n",
      "37547 is prime!\n",
      "37549 is prime!\n",
      "37561 is prime!\n",
      "37567 is prime!\n",
      "37571 is prime!\n",
      "37573 is prime!\n",
      "37579 is prime!\n",
      "37589 is prime!\n",
      "37591 is prime!\n",
      "37607 is prime!\n",
      "37619 is prime!\n",
      "37633 is prime!\n",
      "37643 is prime!\n",
      "37649 is prime!\n",
      "37657 is prime!\n",
      "37663 is prime!\n",
      "37691 is prime!\n",
      "37693 is prime!\n",
      "37699 is prime!\n",
      "37717 is prime!\n",
      "37747 is prime!\n",
      "37781 is prime!\n",
      "37783 is prime!\n",
      "37799 is prime!\n",
      "37811 is prime!\n",
      "37813 is prime!\n",
      "37831 is prime!\n",
      "37847 is prime!\n",
      "37853 is prime!\n",
      "37861 is prime!\n",
      "37871 is prime!\n",
      "37879 is prime!\n",
      "37889 is prime!\n",
      "37897 is prime!\n",
      "37907 is prime!\n",
      "37951 is prime!\n",
      "37957 is prime!\n",
      "37963 is prime!\n",
      "37967 is prime!\n",
      "37987 is prime!\n",
      "37991 is prime!\n",
      "37993 is prime!\n",
      "37997 is prime!\n",
      "38011 is prime!\n",
      "38039 is prime!\n",
      "38047 is prime!\n",
      "38053 is prime!\n",
      "38069 is prime!\n",
      "38083 is prime!\n",
      "38113 is prime!\n",
      "38119 is prime!\n",
      "38149 is prime!\n",
      "38153 is prime!\n",
      "38167 is prime!\n",
      "38177 is prime!\n",
      "38183 is prime!\n",
      "38189 is prime!\n",
      "38197 is prime!\n",
      "38201 is prime!\n",
      "38219 is prime!\n",
      "38231 is prime!\n",
      "38237 is prime!\n",
      "38239 is prime!\n",
      "38261 is prime!\n",
      "38273 is prime!\n",
      "38281 is prime!\n",
      "38287 is prime!\n",
      "38299 is prime!\n",
      "38303 is prime!\n",
      "38317 is prime!\n",
      "38321 is prime!\n",
      "38327 is prime!\n",
      "38329 is prime!\n",
      "38333 is prime!\n",
      "38351 is prime!\n",
      "38371 is prime!\n",
      "38377 is prime!\n",
      "38393 is prime!\n",
      "38431 is prime!\n",
      "38447 is prime!\n",
      "38449 is prime!\n",
      "38453 is prime!\n",
      "38459 is prime!\n",
      "38461 is prime!\n",
      "38501 is prime!\n",
      "38543 is prime!\n",
      "38557 is prime!\n",
      "38561 is prime!\n",
      "38567 is prime!\n",
      "38569 is prime!\n",
      "38593 is prime!\n",
      "38603 is prime!\n",
      "38609 is prime!\n",
      "38611 is prime!\n",
      "38629 is prime!\n",
      "38639 is prime!\n",
      "38651 is prime!\n",
      "38653 is prime!\n",
      "38669 is prime!\n",
      "38671 is prime!\n",
      "38677 is prime!\n",
      "38693 is prime!\n",
      "38699 is prime!\n",
      "38707 is prime!\n",
      "38711 is prime!\n",
      "38713 is prime!\n",
      "38723 is prime!\n",
      "38729 is prime!\n",
      "38737 is prime!\n",
      "38747 is prime!\n",
      "38749 is prime!\n",
      "38767 is prime!\n",
      "38783 is prime!\n",
      "38791 is prime!\n",
      "38803 is prime!\n",
      "38821 is prime!\n",
      "38833 is prime!\n",
      "38839 is prime!\n",
      "38851 is prime!\n",
      "38861 is prime!\n",
      "38867 is prime!\n",
      "38873 is prime!\n",
      "38891 is prime!\n",
      "38903 is prime!\n",
      "38917 is prime!\n",
      "38921 is prime!\n",
      "38923 is prime!\n",
      "38933 is prime!\n",
      "38953 is prime!\n",
      "38959 is prime!\n",
      "38971 is prime!\n",
      "38977 is prime!\n",
      "38993 is prime!\n",
      "39019 is prime!\n",
      "39023 is prime!\n",
      "39041 is prime!\n",
      "39043 is prime!\n",
      "39047 is prime!\n",
      "39079 is prime!\n",
      "39089 is prime!\n",
      "39097 is prime!\n",
      "39103 is prime!\n",
      "39107 is prime!\n",
      "39113 is prime!\n",
      "39119 is prime!\n",
      "39133 is prime!\n",
      "39139 is prime!\n",
      "39157 is prime!\n",
      "39161 is prime!\n",
      "39163 is prime!\n",
      "39181 is prime!\n",
      "39191 is prime!\n",
      "39199 is prime!\n",
      "39209 is prime!\n",
      "39217 is prime!\n",
      "39227 is prime!\n",
      "39229 is prime!\n",
      "39233 is prime!\n",
      "39239 is prime!\n",
      "39241 is prime!\n",
      "39251 is prime!\n",
      "39293 is prime!\n",
      "39301 is prime!\n",
      "39313 is prime!\n",
      "39317 is prime!\n",
      "39323 is prime!\n",
      "39341 is prime!\n",
      "39343 is prime!\n",
      "39359 is prime!\n",
      "39367 is prime!\n",
      "39371 is prime!\n",
      "39373 is prime!\n",
      "39383 is prime!\n",
      "39397 is prime!\n",
      "39409 is prime!\n",
      "39419 is prime!\n",
      "39439 is prime!\n",
      "39443 is prime!\n",
      "39451 is prime!\n",
      "39461 is prime!\n",
      "39499 is prime!\n",
      "39503 is prime!\n",
      "39509 is prime!\n",
      "39511 is prime!\n",
      "39521 is prime!\n",
      "39541 is prime!\n",
      "39551 is prime!\n",
      "39563 is prime!\n",
      "39569 is prime!\n",
      "39581 is prime!\n",
      "39607 is prime!\n",
      "39619 is prime!\n",
      "39623 is prime!\n",
      "39631 is prime!\n",
      "39659 is prime!\n",
      "39667 is prime!\n",
      "39671 is prime!\n",
      "39679 is prime!\n",
      "39703 is prime!\n",
      "39709 is prime!\n",
      "39719 is prime!\n",
      "39727 is prime!\n",
      "39733 is prime!\n",
      "39749 is prime!\n",
      "39761 is prime!\n",
      "39769 is prime!\n",
      "39779 is prime!\n",
      "39791 is prime!\n",
      "39799 is prime!\n",
      "39821 is prime!\n",
      "39827 is prime!\n",
      "39829 is prime!\n",
      "39839 is prime!\n",
      "39841 is prime!\n",
      "39847 is prime!\n",
      "39857 is prime!\n",
      "39863 is prime!\n",
      "39869 is prime!\n",
      "39877 is prime!\n",
      "39883 is prime!\n",
      "39887 is prime!\n",
      "39901 is prime!\n",
      "39929 is prime!\n",
      "39937 is prime!\n",
      "39953 is prime!\n",
      "39971 is prime!\n",
      "39979 is prime!\n",
      "39983 is prime!\n",
      "39989 is prime!\n",
      "40009 is prime!\n",
      "40013 is prime!\n",
      "40031 is prime!\n",
      "40037 is prime!\n",
      "40039 is prime!\n",
      "40063 is prime!\n",
      "40087 is prime!\n",
      "40093 is prime!\n",
      "40099 is prime!\n",
      "40111 is prime!\n",
      "40123 is prime!\n",
      "40127 is prime!\n",
      "40129 is prime!\n",
      "40151 is prime!\n",
      "40153 is prime!\n",
      "40163 is prime!\n",
      "40169 is prime!\n",
      "40177 is prime!\n",
      "40189 is prime!\n",
      "40193 is prime!\n",
      "40213 is prime!\n",
      "40231 is prime!\n",
      "40237 is prime!\n",
      "40241 is prime!\n",
      "40253 is prime!\n",
      "40277 is prime!\n",
      "40283 is prime!\n",
      "40289 is prime!\n",
      "40343 is prime!\n",
      "40351 is prime!\n",
      "40357 is prime!\n",
      "40361 is prime!\n",
      "40387 is prime!\n",
      "40423 is prime!\n",
      "40427 is prime!\n",
      "40429 is prime!\n",
      "40433 is prime!\n",
      "40459 is prime!\n",
      "40471 is prime!\n",
      "40483 is prime!\n",
      "40487 is prime!\n",
      "40493 is prime!\n",
      "40499 is prime!\n",
      "40507 is prime!\n",
      "40519 is prime!\n",
      "40529 is prime!\n",
      "40531 is prime!\n",
      "40543 is prime!\n",
      "40559 is prime!\n",
      "40577 is prime!\n",
      "40583 is prime!\n",
      "40591 is prime!\n",
      "40597 is prime!\n",
      "40609 is prime!\n",
      "40627 is prime!\n",
      "40637 is prime!\n",
      "40639 is prime!\n",
      "40693 is prime!\n",
      "40697 is prime!\n",
      "40699 is prime!\n",
      "40709 is prime!\n",
      "40739 is prime!\n",
      "40751 is prime!\n",
      "40759 is prime!\n",
      "40763 is prime!\n",
      "40771 is prime!\n",
      "40787 is prime!\n",
      "40801 is prime!\n",
      "40813 is prime!\n",
      "40819 is prime!\n",
      "40823 is prime!\n",
      "40829 is prime!\n",
      "40841 is prime!\n",
      "40847 is prime!\n",
      "40849 is prime!\n",
      "40853 is prime!\n",
      "40867 is prime!\n",
      "40879 is prime!\n",
      "40883 is prime!\n",
      "40897 is prime!\n",
      "40903 is prime!\n",
      "40927 is prime!\n",
      "40933 is prime!\n",
      "40939 is prime!\n",
      "40949 is prime!\n",
      "40961 is prime!\n",
      "40973 is prime!\n",
      "40993 is prime!\n",
      "41011 is prime!\n",
      "41017 is prime!\n",
      "41023 is prime!\n",
      "41039 is prime!\n",
      "41047 is prime!\n",
      "41051 is prime!\n",
      "41057 is prime!\n",
      "41077 is prime!\n",
      "41081 is prime!\n",
      "41113 is prime!\n",
      "41117 is prime!\n",
      "41131 is prime!\n",
      "41141 is prime!\n",
      "41143 is prime!\n",
      "41149 is prime!\n",
      "41161 is prime!\n",
      "41177 is prime!\n",
      "41179 is prime!\n",
      "41183 is prime!\n",
      "41189 is prime!\n",
      "41201 is prime!\n",
      "41203 is prime!\n",
      "41213 is prime!\n",
      "41221 is prime!\n",
      "41227 is prime!\n",
      "41231 is prime!\n",
      "41233 is prime!\n",
      "41243 is prime!\n",
      "41257 is prime!\n",
      "41263 is prime!\n",
      "41269 is prime!\n",
      "41281 is prime!\n",
      "41299 is prime!\n",
      "41333 is prime!\n",
      "41341 is prime!\n",
      "41351 is prime!\n",
      "41357 is prime!\n",
      "41381 is prime!\n",
      "41387 is prime!\n",
      "41389 is prime!\n",
      "41399 is prime!\n",
      "41411 is prime!\n",
      "41413 is prime!\n",
      "41443 is prime!\n",
      "41453 is prime!\n",
      "41467 is prime!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "41479 is prime!\n",
      "41491 is prime!\n",
      "41507 is prime!\n",
      "41513 is prime!\n",
      "41519 is prime!\n",
      "41521 is prime!\n",
      "41539 is prime!\n",
      "41543 is prime!\n",
      "41549 is prime!\n",
      "41579 is prime!\n",
      "41593 is prime!\n",
      "41597 is prime!\n",
      "41603 is prime!\n",
      "41609 is prime!\n",
      "41611 is prime!\n",
      "41617 is prime!\n",
      "41621 is prime!\n",
      "41627 is prime!\n",
      "41641 is prime!\n",
      "41647 is prime!\n",
      "41651 is prime!\n",
      "41659 is prime!\n",
      "41669 is prime!\n",
      "41681 is prime!\n",
      "41687 is prime!\n",
      "41719 is prime!\n",
      "41729 is prime!\n",
      "41737 is prime!\n",
      "41759 is prime!\n",
      "41761 is prime!\n",
      "41771 is prime!\n",
      "41777 is prime!\n",
      "41801 is prime!\n",
      "41809 is prime!\n",
      "41813 is prime!\n",
      "41843 is prime!\n",
      "41849 is prime!\n",
      "41851 is prime!\n",
      "41863 is prime!\n",
      "41879 is prime!\n",
      "41887 is prime!\n",
      "41893 is prime!\n",
      "41897 is prime!\n",
      "41903 is prime!\n",
      "41911 is prime!\n",
      "41927 is prime!\n",
      "41941 is prime!\n",
      "41947 is prime!\n",
      "41953 is prime!\n",
      "41957 is prime!\n",
      "41959 is prime!\n",
      "41969 is prime!\n",
      "41981 is prime!\n",
      "41983 is prime!\n",
      "41999 is prime!\n",
      "42013 is prime!\n",
      "42017 is prime!\n",
      "42019 is prime!\n",
      "42023 is prime!\n",
      "42043 is prime!\n",
      "42061 is prime!\n",
      "42071 is prime!\n",
      "42073 is prime!\n",
      "42083 is prime!\n",
      "42089 is prime!\n",
      "42101 is prime!\n",
      "42131 is prime!\n",
      "42139 is prime!\n",
      "42157 is prime!\n",
      "42169 is prime!\n",
      "42179 is prime!\n",
      "42181 is prime!\n",
      "42187 is prime!\n",
      "42193 is prime!\n",
      "42197 is prime!\n",
      "42209 is prime!\n",
      "42221 is prime!\n",
      "42223 is prime!\n",
      "42227 is prime!\n",
      "42239 is prime!\n",
      "42257 is prime!\n",
      "42281 is prime!\n",
      "42283 is prime!\n",
      "42293 is prime!\n",
      "42299 is prime!\n",
      "42307 is prime!\n",
      "42323 is prime!\n",
      "42331 is prime!\n",
      "42337 is prime!\n",
      "42349 is prime!\n",
      "42359 is prime!\n",
      "42373 is prime!\n",
      "42379 is prime!\n",
      "42391 is prime!\n",
      "42397 is prime!\n",
      "42403 is prime!\n",
      "42407 is prime!\n",
      "42409 is prime!\n",
      "42433 is prime!\n",
      "42437 is prime!\n",
      "42443 is prime!\n",
      "42451 is prime!\n",
      "42457 is prime!\n",
      "42461 is prime!\n",
      "42463 is prime!\n",
      "42467 is prime!\n",
      "42473 is prime!\n",
      "42487 is prime!\n",
      "42491 is prime!\n",
      "42499 is prime!\n",
      "42509 is prime!\n",
      "42533 is prime!\n",
      "42557 is prime!\n",
      "42569 is prime!\n",
      "42571 is prime!\n",
      "42577 is prime!\n",
      "42589 is prime!\n",
      "42611 is prime!\n",
      "42641 is prime!\n",
      "42643 is prime!\n",
      "42649 is prime!\n",
      "42667 is prime!\n",
      "42677 is prime!\n",
      "42683 is prime!\n",
      "42689 is prime!\n",
      "42697 is prime!\n",
      "42701 is prime!\n",
      "42703 is prime!\n",
      "42709 is prime!\n",
      "42719 is prime!\n",
      "42727 is prime!\n",
      "42737 is prime!\n",
      "42743 is prime!\n",
      "42751 is prime!\n",
      "42767 is prime!\n",
      "42773 is prime!\n",
      "42787 is prime!\n",
      "42793 is prime!\n",
      "42797 is prime!\n",
      "42821 is prime!\n",
      "42829 is prime!\n",
      "42839 is prime!\n",
      "42841 is prime!\n",
      "42853 is prime!\n",
      "42859 is prime!\n",
      "42863 is prime!\n",
      "42899 is prime!\n",
      "42901 is prime!\n",
      "42923 is prime!\n",
      "42929 is prime!\n",
      "42937 is prime!\n",
      "42943 is prime!\n",
      "42953 is prime!\n",
      "42961 is prime!\n",
      "42967 is prime!\n",
      "42979 is prime!\n",
      "42989 is prime!\n",
      "43003 is prime!\n",
      "43013 is prime!\n",
      "43019 is prime!\n",
      "43037 is prime!\n",
      "43049 is prime!\n",
      "43051 is prime!\n",
      "43063 is prime!\n",
      "43067 is prime!\n",
      "43093 is prime!\n",
      "43103 is prime!\n",
      "43117 is prime!\n",
      "43133 is prime!\n",
      "43151 is prime!\n",
      "43159 is prime!\n",
      "43177 is prime!\n",
      "43189 is prime!\n",
      "43201 is prime!\n",
      "43207 is prime!\n",
      "43223 is prime!\n",
      "43237 is prime!\n",
      "43261 is prime!\n",
      "43271 is prime!\n",
      "43283 is prime!\n",
      "43291 is prime!\n",
      "43313 is prime!\n",
      "43319 is prime!\n",
      "43321 is prime!\n",
      "43331 is prime!\n",
      "43391 is prime!\n",
      "43397 is prime!\n",
      "43399 is prime!\n",
      "43403 is prime!\n",
      "43411 is prime!\n",
      "43427 is prime!\n",
      "43441 is prime!\n",
      "43451 is prime!\n",
      "43457 is prime!\n",
      "43481 is prime!\n",
      "43487 is prime!\n",
      "43499 is prime!\n",
      "43517 is prime!\n",
      "43541 is prime!\n",
      "43543 is prime!\n",
      "43573 is prime!\n",
      "43577 is prime!\n",
      "43579 is prime!\n",
      "43591 is prime!\n",
      "43597 is prime!\n",
      "43607 is prime!\n",
      "43609 is prime!\n",
      "43613 is prime!\n",
      "43627 is prime!\n",
      "43633 is prime!\n",
      "43649 is prime!\n",
      "43651 is prime!\n",
      "43661 is prime!\n",
      "43669 is prime!\n",
      "43691 is prime!\n",
      "43711 is prime!\n",
      "43717 is prime!\n",
      "43721 is prime!\n",
      "43753 is prime!\n",
      "43759 is prime!\n",
      "43777 is prime!\n",
      "43781 is prime!\n",
      "43783 is prime!\n",
      "43787 is prime!\n",
      "43789 is prime!\n",
      "43793 is prime!\n",
      "43801 is prime!\n",
      "43853 is prime!\n",
      "43867 is prime!\n",
      "43889 is prime!\n",
      "43891 is prime!\n",
      "43913 is prime!\n",
      "43933 is prime!\n",
      "43943 is prime!\n",
      "43951 is prime!\n",
      "43961 is prime!\n",
      "43963 is prime!\n",
      "43969 is prime!\n",
      "43973 is prime!\n",
      "43987 is prime!\n",
      "43991 is prime!\n",
      "43997 is prime!\n",
      "44017 is prime!\n",
      "44021 is prime!\n",
      "44027 is prime!\n",
      "44029 is prime!\n",
      "44041 is prime!\n",
      "44053 is prime!\n",
      "44059 is prime!\n",
      "44071 is prime!\n",
      "44087 is prime!\n",
      "44089 is prime!\n",
      "44101 is prime!\n",
      "44111 is prime!\n",
      "44119 is prime!\n",
      "44123 is prime!\n",
      "44129 is prime!\n",
      "44131 is prime!\n",
      "44159 is prime!\n",
      "44171 is prime!\n",
      "44179 is prime!\n",
      "44189 is prime!\n",
      "44201 is prime!\n",
      "44203 is prime!\n",
      "44207 is prime!\n",
      "44221 is prime!\n",
      "44249 is prime!\n",
      "44257 is prime!\n",
      "44263 is prime!\n",
      "44267 is prime!\n",
      "44269 is prime!\n",
      "44273 is prime!\n",
      "44279 is prime!\n",
      "44281 is prime!\n",
      "44293 is prime!\n",
      "44351 is prime!\n",
      "44357 is prime!\n",
      "44371 is prime!\n",
      "44381 is prime!\n",
      "44383 is prime!\n",
      "44389 is prime!\n",
      "44417 is prime!\n",
      "44449 is prime!\n",
      "44453 is prime!\n",
      "44483 is prime!\n",
      "44491 is prime!\n",
      "44497 is prime!\n",
      "44501 is prime!\n",
      "44507 is prime!\n",
      "44519 is prime!\n",
      "44531 is prime!\n",
      "44533 is prime!\n",
      "44537 is prime!\n",
      "44543 is prime!\n",
      "44549 is prime!\n",
      "44563 is prime!\n",
      "44579 is prime!\n",
      "44587 is prime!\n",
      "44617 is prime!\n",
      "44621 is prime!\n",
      "44623 is prime!\n",
      "44633 is prime!\n",
      "44641 is prime!\n",
      "44647 is prime!\n",
      "44651 is prime!\n",
      "44657 is prime!\n",
      "44683 is prime!\n",
      "44687 is prime!\n",
      "44699 is prime!\n",
      "44701 is prime!\n",
      "44711 is prime!\n",
      "44729 is prime!\n",
      "44741 is prime!\n",
      "44753 is prime!\n",
      "44771 is prime!\n",
      "44773 is prime!\n",
      "44777 is prime!\n",
      "44789 is prime!\n",
      "44797 is prime!\n",
      "44809 is prime!\n",
      "44819 is prime!\n",
      "44839 is prime!\n",
      "44843 is prime!\n",
      "44851 is prime!\n",
      "44867 is prime!\n",
      "44879 is prime!\n",
      "44887 is prime!\n",
      "44893 is prime!\n",
      "44909 is prime!\n",
      "44917 is prime!\n",
      "44927 is prime!\n",
      "44939 is prime!\n",
      "44953 is prime!\n",
      "44959 is prime!\n",
      "44963 is prime!\n",
      "44971 is prime!\n",
      "44983 is prime!\n",
      "44987 is prime!\n",
      "45007 is prime!\n",
      "45013 is prime!\n",
      "45053 is prime!\n",
      "45061 is prime!\n",
      "45077 is prime!\n",
      "45083 is prime!\n",
      "45119 is prime!\n",
      "45121 is prime!\n",
      "45127 is prime!\n",
      "45131 is prime!\n",
      "45137 is prime!\n",
      "45139 is prime!\n",
      "45161 is prime!\n",
      "45179 is prime!\n",
      "45181 is prime!\n",
      "45191 is prime!\n",
      "45197 is prime!\n",
      "45233 is prime!\n",
      "45247 is prime!\n",
      "45259 is prime!\n",
      "45263 is prime!\n",
      "45281 is prime!\n",
      "45289 is prime!\n",
      "45293 is prime!\n",
      "45307 is prime!\n",
      "45317 is prime!\n",
      "45319 is prime!\n",
      "45329 is prime!\n",
      "45337 is prime!\n",
      "45341 is prime!\n",
      "45343 is prime!\n",
      "45361 is prime!\n",
      "45377 is prime!\n",
      "45389 is prime!\n",
      "45403 is prime!\n",
      "45413 is prime!\n",
      "45427 is prime!\n",
      "45433 is prime!\n",
      "45439 is prime!\n",
      "45481 is prime!\n",
      "45491 is prime!\n",
      "45497 is prime!\n",
      "45503 is prime!\n",
      "45523 is prime!\n",
      "45533 is prime!\n",
      "45541 is prime!\n",
      "45553 is prime!\n",
      "45557 is prime!\n",
      "45569 is prime!\n",
      "45587 is prime!\n",
      "45589 is prime!\n",
      "45599 is prime!\n",
      "45613 is prime!\n",
      "45631 is prime!\n",
      "45641 is prime!\n",
      "45659 is prime!\n",
      "45667 is prime!\n",
      "45673 is prime!\n",
      "45677 is prime!\n",
      "45691 is prime!\n",
      "45697 is prime!\n",
      "45707 is prime!\n",
      "45737 is prime!\n",
      "45751 is prime!\n",
      "45757 is prime!\n",
      "45763 is prime!\n",
      "45767 is prime!\n",
      "45779 is prime!\n",
      "45817 is prime!\n",
      "45821 is prime!\n",
      "45823 is prime!\n",
      "45827 is prime!\n",
      "45833 is prime!\n",
      "45841 is prime!\n",
      "45853 is prime!\n",
      "45863 is prime!\n",
      "45869 is prime!\n",
      "45887 is prime!\n",
      "45893 is prime!\n",
      "45943 is prime!\n",
      "45949 is prime!\n",
      "45953 is prime!\n",
      "45959 is prime!\n",
      "45971 is prime!\n",
      "45979 is prime!\n",
      "45989 is prime!\n",
      "46021 is prime!\n",
      "46027 is prime!\n",
      "46049 is prime!\n",
      "46051 is prime!\n",
      "46061 is prime!\n",
      "46073 is prime!\n",
      "46091 is prime!\n",
      "46093 is prime!\n",
      "46099 is prime!\n",
      "46103 is prime!\n",
      "46133 is prime!\n",
      "46141 is prime!\n",
      "46147 is prime!\n",
      "46153 is prime!\n",
      "46171 is prime!\n",
      "46181 is prime!\n",
      "46183 is prime!\n",
      "46187 is prime!\n",
      "46199 is prime!\n",
      "46219 is prime!\n",
      "46229 is prime!\n",
      "46237 is prime!\n",
      "46261 is prime!\n",
      "46271 is prime!\n",
      "46273 is prime!\n",
      "46279 is prime!\n",
      "46301 is prime!\n",
      "46307 is prime!\n",
      "46309 is prime!\n",
      "46327 is prime!\n",
      "46337 is prime!\n",
      "46349 is prime!\n",
      "46351 is prime!\n",
      "46381 is prime!\n",
      "46399 is prime!\n",
      "46411 is prime!\n",
      "46439 is prime!\n",
      "46441 is prime!\n",
      "46447 is prime!\n",
      "46451 is prime!\n",
      "46457 is prime!\n",
      "46471 is prime!\n",
      "46477 is prime!\n",
      "46489 is prime!\n",
      "46499 is prime!\n",
      "46507 is prime!\n",
      "46511 is prime!\n",
      "46523 is prime!\n",
      "46549 is prime!\n",
      "46559 is prime!\n",
      "46567 is prime!\n",
      "46573 is prime!\n",
      "46589 is prime!\n",
      "46591 is prime!\n",
      "46601 is prime!\n",
      "46619 is prime!\n",
      "46633 is prime!\n",
      "46639 is prime!\n",
      "46643 is prime!\n",
      "46649 is prime!\n",
      "46663 is prime!\n",
      "46679 is prime!\n",
      "46681 is prime!\n",
      "46687 is prime!\n",
      "46691 is prime!\n",
      "46703 is prime!\n",
      "46723 is prime!\n",
      "46727 is prime!\n",
      "46747 is prime!\n",
      "46751 is prime!\n",
      "46757 is prime!\n",
      "46769 is prime!\n",
      "46771 is prime!\n",
      "46807 is prime!\n",
      "46811 is prime!\n",
      "46817 is prime!\n",
      "46819 is prime!\n",
      "46829 is prime!\n",
      "46831 is prime!\n",
      "46853 is prime!\n",
      "46861 is prime!\n",
      "46867 is prime!\n",
      "46877 is prime!\n",
      "46889 is prime!\n",
      "46901 is prime!\n",
      "46919 is prime!\n",
      "46933 is prime!\n",
      "46957 is prime!\n",
      "46993 is prime!\n",
      "46997 is prime!\n",
      "47017 is prime!\n",
      "47041 is prime!\n",
      "47051 is prime!\n",
      "47057 is prime!\n",
      "47059 is prime!\n",
      "47087 is prime!\n",
      "47093 is prime!\n",
      "47111 is prime!\n",
      "47119 is prime!\n",
      "47123 is prime!\n",
      "47129 is prime!\n",
      "47137 is prime!\n",
      "47143 is prime!\n",
      "47147 is prime!\n",
      "47149 is prime!\n",
      "47161 is prime!\n",
      "47189 is prime!\n",
      "47207 is prime!\n",
      "47221 is prime!\n",
      "47237 is prime!\n",
      "47251 is prime!\n",
      "47269 is prime!\n",
      "47279 is prime!\n",
      "47287 is prime!\n",
      "47293 is prime!\n",
      "47297 is prime!\n",
      "47303 is prime!\n",
      "47309 is prime!\n",
      "47317 is prime!\n",
      "47339 is prime!\n",
      "47351 is prime!\n",
      "47353 is prime!\n",
      "47363 is prime!\n",
      "47381 is prime!\n",
      "47387 is prime!\n",
      "47389 is prime!\n",
      "47407 is prime!\n",
      "47417 is prime!\n",
      "47419 is prime!\n",
      "47431 is prime!\n",
      "47441 is prime!\n",
      "47459 is prime!\n",
      "47491 is prime!\n",
      "47497 is prime!\n",
      "47501 is prime!\n",
      "47507 is prime!\n",
      "47513 is prime!\n",
      "47521 is prime!\n",
      "47527 is prime!\n",
      "47533 is prime!\n",
      "47543 is prime!\n",
      "47563 is prime!\n",
      "47569 is prime!\n",
      "47581 is prime!\n",
      "47591 is prime!\n",
      "47599 is prime!\n",
      "47609 is prime!\n",
      "47623 is prime!\n",
      "47629 is prime!\n",
      "47639 is prime!\n",
      "47653 is prime!\n",
      "47657 is prime!\n",
      "47659 is prime!\n",
      "47681 is prime!\n",
      "47699 is prime!\n",
      "47701 is prime!\n",
      "47711 is prime!\n",
      "47713 is prime!\n",
      "47717 is prime!\n",
      "47737 is prime!\n",
      "47741 is prime!\n",
      "47743 is prime!\n",
      "47777 is prime!\n",
      "47779 is prime!\n",
      "47791 is prime!\n",
      "47797 is prime!\n",
      "47807 is prime!\n",
      "47809 is prime!\n",
      "47819 is prime!\n",
      "47837 is prime!\n",
      "47843 is prime!\n",
      "47857 is prime!\n",
      "47869 is prime!\n",
      "47881 is prime!\n",
      "47903 is prime!\n",
      "47911 is prime!\n",
      "47917 is prime!\n",
      "47933 is prime!\n",
      "47939 is prime!\n",
      "47947 is prime!\n",
      "47951 is prime!\n",
      "47963 is prime!\n",
      "47969 is prime!\n",
      "47977 is prime!\n",
      "47981 is prime!\n",
      "48017 is prime!\n",
      "48023 is prime!\n",
      "48029 is prime!\n",
      "48049 is prime!\n",
      "48073 is prime!\n",
      "48079 is prime!\n",
      "48091 is prime!\n",
      "48109 is prime!\n",
      "48119 is prime!\n",
      "48121 is prime!\n",
      "48131 is prime!\n",
      "48157 is prime!\n",
      "48163 is prime!\n",
      "48179 is prime!\n",
      "48187 is prime!\n",
      "48193 is prime!\n",
      "48197 is prime!\n",
      "48221 is prime!\n",
      "48239 is prime!\n",
      "48247 is prime!\n",
      "48259 is prime!\n",
      "48271 is prime!\n",
      "48281 is prime!\n",
      "48299 is prime!\n",
      "48311 is prime!\n",
      "48313 is prime!\n",
      "48337 is prime!\n",
      "48341 is prime!\n",
      "48353 is prime!\n",
      "48371 is prime!\n",
      "48383 is prime!\n",
      "48397 is prime!\n",
      "48407 is prime!\n",
      "48409 is prime!\n",
      "48413 is prime!\n",
      "48437 is prime!\n",
      "48449 is prime!\n",
      "48463 is prime!\n",
      "48473 is prime!\n",
      "48479 is prime!\n",
      "48481 is prime!\n",
      "48487 is prime!\n",
      "48491 is prime!\n",
      "48497 is prime!\n",
      "48523 is prime!\n",
      "48527 is prime!\n",
      "48533 is prime!\n",
      "48539 is prime!\n",
      "48541 is prime!\n",
      "48563 is prime!\n",
      "48571 is prime!\n",
      "48589 is prime!\n",
      "48593 is prime!\n",
      "48611 is prime!\n",
      "48619 is prime!\n",
      "48623 is prime!\n",
      "48647 is prime!\n",
      "48649 is prime!\n",
      "48661 is prime!\n",
      "48673 is prime!\n",
      "48677 is prime!\n",
      "48679 is prime!\n",
      "48731 is prime!\n"
     ]
    },
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-25-69a7a8679196>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0;32mwhile\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m     \u001b[0mnoPrime\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m     \u001b[0;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcurrentNumber\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      6\u001b[0m         \u001b[0;32mif\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcurrentNumber\u001b[0m\u001b[0;34m%\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m==\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m             \u001b[0mnoPrime\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "print(f\"1 is prime!\")\n",
    "currentNumber=2\n",
    "while(True):\n",
    "    noPrime=False\n",
    "    for i in range(2, currentNumber):\n",
    "        if currentNumber%i==0:\n",
    "            noPrime=True\n",
    "            break\n",
    "    if not noPrime:\n",
    "        print(f\"{currentNumber} is prime!\")\n",
    "    currentNumber+=1         "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Beware with the solution! It is an **infinite loop**!! You can stop it if you press the key \"I\" twice or press the square in the task bar."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercise 6: The Number $e$\n",
    "Knowing that by the Taylor Expansion there is an infinite degree polynomial converging to $y(x)=e^x$ for any real x, such that:\n",
    "$$\n",
    "    e^x=1+\\frac{x}{1!}+\\frac{x^2}{2!}+\\frac{x^3}{3!}+...\n",
    "$$\n",
    "We can compute the value of the number $e$ to arbitrary precission using the series for $x=1$ (which is actually one of the definitions of $e$):\n",
    "$$\n",
    "    e= 1 + \\frac{1}{1!}+\\frac{1}{2!}+\\frac{1}{3!}+...\n",
    "$$\n",
    "\n",
    "Predict the value of $e$ with a precision of 10 \"correct\" decimal places, that is, with an error between the true $e$ number and your estimation that is less than a movement in the 11-th decimal position, less than $0.00000000001=10^{-11}$.\n",
    "\n",
    "\n",
    "For that, since the series is strictly decreasing (each term you add is smaller than the previous one), and any subsequence of the series is also convergent, check that the difference between consecutive partial sums in the infinite series gets smaller than $10^{-11}$. Note that the difference between partial sums is the next term you are adding.\n",
    "\n",
    "**Note for printing decimal places**: When using a f-string format like `f\"This is e {e}\"`, you can choose the number of decimal places to print. For instance if you want to print 7 decimals you would write `f\"This is e {e:.7}\"`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 2 -> e = 2.0, added fraction = 1.0\n",
      "Iteration 3 -> e = 2.5, added fraction = 0.5\n",
      "Iteration 4 -> e = 2.666666666666667, added fraction = 0.16666666666666666\n",
      "Iteration 5 -> e = 2.708333333333333, added fraction = 0.041666666666666664\n",
      "Iteration 6 -> e = 2.716666666666666, added fraction = 0.008333333333333333\n",
      "Iteration 7 -> e = 2.718055555555555, added fraction = 0.001388888888888889\n",
      "Iteration 8 -> e = 2.718253968253968, added fraction = 0.0001984126984126984\n",
      "Iteration 9 -> e = 2.71827876984127, added fraction = 2.48015873015873e-05\n",
      "Iteration 10 -> e = 2.718281525573192, added fraction = 2.7557319223985893e-06\n",
      "Iteration 11 -> e = 2.718281801146385, added fraction = 2.755731922398589e-07\n",
      "Iteration 12 -> e = 2.718281826198493, added fraction = 2.505210838544172e-08\n",
      "Iteration 13 -> e = 2.718281828286169, added fraction = 2.08767569878681e-09\n",
      "Iteration 14 -> e = 2.718281828446759, added fraction = 1.6059043836821613e-10\n",
      "Iteration 15 -> e = 2.71828182845823, added fraction = 1.1470745597729725e-11\n",
      "Iteration 16 -> e = 2.718281828458995, added fraction = 7.647163731819816e-13\n",
      "\n",
      "Last Iteration 16 ->  e (till 10-th decimal) = 2.718281828\n"
     ]
    }
   ],
   "source": [
    "e=1\n",
    "it=1\n",
    "factorial=1\n",
    "\n",
    "while 1/factorial > 10**-11 :\n",
    "    factorial*=it\n",
    "    e+=1/factorial\n",
    "    it+=1\n",
    "    print(f\"Iteration {it} -> e = {e:.16}, added fraction = {1/factorial}\")\n",
    "\n",
    "print(f\"\\nLast Iteration {it} ->  e (till 10-th decimal) = {e:.10}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, if you try to compute $e$ with the same approach to the 30-th decimal place, you will find a problem. Try it!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 2 -> e = 2.0, added fraction = 1.0\n",
      "Iteration 3 -> e = 2.5, added fraction = 0.5\n",
      "Iteration 4 -> e = 2.666666666666666518636930049979, added fraction = 0.16666666666666666\n",
      "Iteration 5 -> e = 2.708333333333333037273860099958, added fraction = 0.041666666666666664\n",
      "Iteration 6 -> e = 2.716666666666666341001246109954, added fraction = 0.008333333333333333\n",
      "Iteration 7 -> e = 2.718055555555555447000415369985, added fraction = 0.001388888888888889\n",
      "Iteration 8 -> e = 2.718253968253968366752815200016, added fraction = 0.0001984126984126984\n",
      "Iteration 9 -> e = 2.718278769841270037233016410028, added fraction = 2.48015873015873e-05\n",
      "Iteration 10 -> e = 2.718281525573192247691167722223, added fraction = 2.7557319223985893e-06\n",
      "Iteration 11 -> e = 2.718281801146384513145903838449, added fraction = 2.755731922398589e-07\n",
      "Iteration 12 -> e = 2.718281826198492900914516212652, added fraction = 2.505210838544172e-08\n",
      "Iteration 13 -> e = 2.718281828286168710917536373017, added fraction = 2.08767569878681e-09\n",
      "Iteration 14 -> e = 2.718281828446759362805096316151, added fraction = 1.6059043836821613e-10\n",
      "Iteration 15 -> e = 2.718281828458230187095523433527, added fraction = 1.1470745597729725e-11\n",
      "Iteration 16 -> e = 2.718281828458994908714885241352, added fraction = 7.647163731819816e-13\n",
      "Iteration 17 -> e = 2.718281828459042870349549048115, added fraction = 4.779477332387385e-14\n",
      "Iteration 18 -> e = 2.71828182845904553488480814849, added fraction = 2.8114572543455206e-15\n",
      "Iteration 19 -> e = 2.71828182845904553488480814849, added fraction = 1.5619206968586225e-16\n",
      "Iteration 20 -> e = 2.71828182845904553488480814849, added fraction = 8.22063524662433e-18\n",
      "Iteration 21 -> e = 2.71828182845904553488480814849, added fraction = 4.110317623312165e-19\n",
      "Iteration 22 -> e = 2.71828182845904553488480814849, added fraction = 1.9572941063391263e-20\n",
      "Iteration 23 -> e = 2.71828182845904553488480814849, added fraction = 8.896791392450574e-22\n",
      "Iteration 24 -> e = 2.71828182845904553488480814849, added fraction = 3.868170170630684e-23\n",
      "Iteration 25 -> e = 2.71828182845904553488480814849, added fraction = 1.6117375710961184e-24\n",
      "Iteration 26 -> e = 2.71828182845904553488480814849, added fraction = 6.446950284384474e-26\n",
      "Iteration 27 -> e = 2.71828182845904553488480814849, added fraction = 2.4795962632247976e-27\n",
      "Iteration 28 -> e = 2.71828182845904553488480814849, added fraction = 9.183689863795546e-29\n",
      "Iteration 29 -> e = 2.71828182845904553488480814849, added fraction = 3.279889237069838e-30\n",
      "Iteration 30 -> e = 2.71828182845904553488480814849, added fraction = 1.1309962886447716e-31\n",
      "Iteration 31 -> e = 2.71828182845904553488480814849, added fraction = 3.7699876288159054e-33\n",
      "\n",
      "Last Iteration 31 ->  e (till 10-th decimal) = 2.71828182845904553488480814849\n"
     ]
    }
   ],
   "source": [
    "e=1\n",
    "it=1\n",
    "factorial=1\n",
    "\n",
    "while 1/factorial > 10**-31:\n",
    "    factorial*=it\n",
    "    e+=1/factorial\n",
    "    it+=1\n",
    "    print(f\"Iteration {it} -> e = {e:.31}, added fraction = {1/factorial}\")\n",
    "\n",
    "print(f\"\\nLast Iteration {it} ->  e (till 10-th decimal) = {e:.30}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you notice, the number does not change from the addition of a power $10^{-15}$ on! This is an error clearly. How can that be? "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Well, this is because in reality Pyhton floats are saved with 64 bits per float number (your computer has finite memory allocated per number!). This amounts to a maximum of 15 decimal digits per float number, point at which the addition of a smaller number does not alter the result! \n",
    "\n",
    "Note this does not mean we cannot save numbers smaller than $10^{-15}$, what we cannot do is have a number with more than 15 decimals! For example, we can save $77.012345678912345e-178=77.012345678912345\\cdot 10^{-178}$, but we cannot represent $77.012345678912345678e-178=77.012345678912345678\\cdot 10^{-178}$. For the machine, both numbers will be exactly the same!\n",
    "\n",
    "However, the finite memory per number also means that there is a maximum representable exponent and a maximum representable whole part! Thus, the increment's exponent at some point will also turn out to be a problem (smaller exponents will not be representable with floats!\n",
    "\n",
    "But then isn't there any way to leave the computer calculating decimals for $e$ until the whole memory of the computer is filled? The answer is, of course, yes there is.\n",
    "\n",
    "One such way is by generating numbers that occupy each more space in memory (with a presumably arbitrary number of decimal places). For that Python has a package called `decimal`. We can work with the functions and utilities of this package if we first do `from decimal import *` (we will explain more about packages in Lecture IV, for now believe me). In this package there are some special numbers that must be defined using `Decimal('·')`. For example, we can represent the number $1.32$ with `Decimal('1.32')` (note the string `'` surrounding the number to be represented!). One of the interesting things these numbers have, is that we can fix the precision with which we wish to work, using `getcontext().prec = 300` if for instance we wish to work with 300 decimal places.\n",
    "\n",
    "With this, we could compute as many decimal places of $e$ as wanted, for instance doing:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 2 -> e = 2, added fraction = 1\n",
      "Iteration 3 -> e = 2.5, added fraction = 0.5\n",
      "Iteration 4 -> e = 2.666666666666666666666666666667, added fraction = 0.1666666666666666666666666666667\n",
      "Iteration 5 -> e = 2.708333333333333333333333333334, added fraction = 0.04166666666666666666666666666667\n",
      "Iteration 6 -> e = 2.716666666666666666666666666667, added fraction = 0.008333333333333333333333333333333\n",
      "Iteration 7 -> e = 2.718055555555555555555555555556, added fraction = 0.001388888888888888888888888888889\n",
      "Iteration 8 -> e = 2.718253968253968253968253968254, added fraction = 0.0001984126984126984126984126984127\n",
      "Iteration 9 -> e = 2.718278769841269841269841269841, added fraction = 0.00002480158730158730158730158730159\n",
      "Iteration 10 -> e = 2.718281525573192239858906525573, added fraction = 0.000002755731922398589065255731922399\n",
      "Iteration 11 -> e = 2.718281801146384479717813051146, added fraction = 2.755731922398589065255731922399E-7\n",
      "Iteration 12 -> e = 2.718281826198492865159531826198, added fraction = 2.505210838544171877505210838544E-8\n",
      "Iteration 13 -> e = 2.718281828286168563946341724119, added fraction = 2.087675698786809897921009032120E-9\n",
      "Iteration 14 -> e = 2.718281828446759002314557870113, added fraction = 1.605904383682161459939237717015E-10\n",
      "Iteration 15 -> e = 2.718281828458229747912287594827, added fraction = 1.147074559772972471385169797868E-11\n",
      "Iteration 16 -> e = 2.718281828458994464285469576475, added fraction = 7.647163731819816475901131985788E-13\n",
      "Iteration 17 -> e = 2.718281828459042259058793450328, added fraction = 4.779477332387385297438207491118E-14\n",
      "Iteration 18 -> e = 2.718281828459045070516047795849, added fraction = 2.811457254345520763198945583010E-15\n",
      "Iteration 19 -> e = 2.718281828459045226708117481711, added fraction = 1.561920696858622646221636435006E-16\n",
      "Iteration 20 -> e = 2.718281828459045234928752728335, added fraction = 8.220635246624329716955981236872E-18\n",
      "Iteration 21 -> e = 2.718281828459045235339784490666, added fraction = 4.110317623312164858477990618436E-19\n",
      "Iteration 22 -> e = 2.718281828459045235359357431729, added fraction = 1.957294106339126123084757437351E-20\n",
      "Iteration 23 -> e = 2.718281828459045235360247110868, added fraction = 8.896791392450573286748897442502E-22\n",
      "Iteration 24 -> e = 2.718281828459045235360285792570, added fraction = 3.868170170630684037716911931523E-23\n",
      "Iteration 25 -> e = 2.718281828459045235360287404308, added fraction = 1.611737571096118349048713304801E-24\n",
      "Iteration 26 -> e = 2.718281828459045235360287468778, added fraction = 6.446950284384473396194853219205E-26\n",
      "Iteration 27 -> e = 2.718281828459045235360287471258, added fraction = 2.479596263224797460074943545848E-27\n",
      "Iteration 28 -> e = 2.718281828459045235360287471350, added fraction = 9.183689863795546148425716836474E-29\n",
      "Iteration 29 -> e = 2.718281828459045235360287471353, added fraction = 3.279889237069837910152041727312E-30\n",
      "Iteration 30 -> e = 2.718281828459045235360287471353, added fraction = 1.130996288644771693155876457694E-31\n",
      "\n",
      "Last Iteration 30 ->  e (till 30-th decimal) = 2.718281828459045235360287471353\n"
     ]
    }
   ],
   "source": [
    "from decimal import *\n",
    "\n",
    "wished_precision = 30 # select the precision you wish\n",
    "\n",
    "getcontext().prec = wished_precision+1\n",
    "\n",
    "e=Decimal('1')\n",
    "it=Decimal('1')\n",
    "factorial=Decimal('1')\n",
    "\n",
    "last_summand = Decimal('1')/factorial\n",
    "\n",
    "tolerance = Decimal(f'1e-{wished_precision}')\n",
    "\n",
    "while last_summand > tolerance :\n",
    "    \n",
    "    factorial*=it\n",
    "    last_summand = Decimal('1')/factorial\n",
    "        \n",
    "    e += last_summand\n",
    "    it+=1\n",
    "    print(f\"Iteration {it} -> e = {e}, added fraction = {last_summand}\")\n",
    "\n",
    "print(f\"\\nLast Iteration {it} ->  e (till {wished_precision}-th decimal) = {e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that you could actually stop when the number starts to be the same (when irrespective of what we add the number does not change, since the summand will be smaller than the representable decimal places). As follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Last Iteration 1144 ->  e (till 3000-th decimal) = 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932003059921817413596629043572900334295260595630738132328627943490763233829880753195251019011573834187930702154089149934884167509244761460668082264800168477411853742345442437107539077744992069551702761838606261331384583000752044933826560297606737113200709328709127443747047230696977209310141692836819025515108657463772111252389784425056953696770785449969967946864454905987931636889230098793127736178215424999229576351482208269895193668033182528869398496465105820939239829488793320362509443117301238197068416140397019837679320683282376464804295311802328782509819455815301756717361332069811250996181881593041690351598888519345807273866738589422879228499892086805825749279610484198444363463244968487560233624827041978623209002160990235304369941849146314093431738143640546253152096183690888707016768396424378140592714563549061303107208510383750510115747704171898610687396965521267154688957035035402123407849819334321068170121005627880235193033224745015853904730419957777093503660416997329725088687696640355570716226844716256079882651787134195124665201030592123667719432527867539855894489697096409754591856956380236370162112047742722836489613422516445078182442352948636372141740238893441247963574370263755294448337998016125492278509257782562092622648326277933386566481627725164019105900491644998289315056604725802778631864155195653244258698294695930801915298721172556347546396447910145904090586298496791287406870504895858671747985466775757320568128845920541334053922000113786300945560688166740016984205580403363795376452030402432256613527836951177883863874439662532249850654995886234281899707733276171783928034946501434558897071942586398772754710962953741521115136835062752602326484728703920764310059584116612054529703023647254929666938115137322753645098889031360205724817658511806303644281231496550704751025446501172721155519486685080036853228183152196003735625279449515828418829478761085263981395599006737648292244375287184624578036192981971399147564488262603903381441823262515097482798777996437308997038886778227138360577297882412561190717663946507063304527954661855096666185664709711344474016070462621568071748187784437143698821855967095910259686200235371858874856965220005031173439207321139080329363447972735595527734907178379342163701205005451326383544000186323991490705479778056697853358048966906295119432473099587655236812859041383241160722602998330535370876138939639177957454016137223618789365260538155841587186925538606164779834025435128439612946035291332594279490433729908573158029095863138268329147711639633709240031689458636060645845925126994655724839186564209752685082307544254599376917041977780085362730941710163434907696423722294352366125572508814779223151974778060569672538017180776360346245927877846585065605078084421152969752189087401966090665180351650179250461950136658543663271254963990854914420001457476081930221206602433009641270489439039717719518069908699860663658323227883\n"
     ]
    }
   ],
   "source": [
    "from decimal import *\n",
    "\n",
    "wished_precision = 3000 # select the precision you wish\n",
    "\n",
    "getcontext().prec = wished_precision+1\n",
    "\n",
    "e=Decimal('1')\n",
    "it=Decimal('1')\n",
    "factorial=Decimal('1')\n",
    "\n",
    "last_summand = Decimal('1')/factorial\n",
    "\n",
    "while True:\n",
    "    factorial*=it\n",
    "    last_summand = Decimal('1')/factorial\n",
    "    e_previous=e\n",
    "    e += last_summand\n",
    "    it+=1\n",
    "    #print(f\"Iteration {it} -> e = {e}, added fraction = {last_summand}\")\n",
    "    if e==e_previous:\n",
    "        break\n",
    "\n",
    "print(f\"\\nLast Iteration {it} ->  e (till {wished_precision}-th decimal) = {e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that if you want to compute many many decimal places, you should comment or erase the print in every iteration.\n",
    "\n",
    "#### The End of the World: Machines have never computed 0.1+0.1+0.1-0.3 correctly!\n",
    "The `decimal` package has some more very interesting features. One such feature is the fact that the arithmetic is done precisely in base 10, meaning that `0.1+0.1+0.1-0.3` will be `0`, unlike in floats (try it! it is $4.44\\cdot 10^{-17}$ in floats!). This was not exact for `float`s because their opertaions are defined in binary, and `0.1` in binary is an infinite decimal place periodic number: it is `0.000110011001100110011...`.\n",
    "Thus, as the machine only saves some decimal places, the operation will never be exact! Just as if you try to compute $\\frac{1}{3}+\\frac{1}{3}+\\frac{1}{3} - 1$ using finite decimal numbers. If say, you only used three decimals, you would do $0.333+0.333+0.333=0.999$, which is not 1! Only if you really used the infinite decimals would be 1.\n",
    "\n",
    "You can read the online documentation of the `decimal` package if you are interested in the utilities it offers:\n",
    "\n",
    "https://docs.python.org/3/library/decimal.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.551115123125783e-17"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "0.1+0.1+0.1-0.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Decimal('0.0')"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Decimal('0.1')+Decimal('0.1')+Decimal('0.1')-Decimal('0.3')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Don't panic for this revelation that machines do not even compute $0.1+0.1+0.1-1$ correctly! Because, yes, even the satellites that we send to orbit or autonomous cars in which we delegate people's security, or even particle physics simulations, all of them have finite precision arithmetic (they do not even use packages like `decimal`). Maybe only financial countables want to have precise arithmetic and save until the last one of the possible decimals. In realistic scientific scenarios this will not be a problem, because we typically work in \"normalized\" units. For each physical variable we manipulate, we typically represent them in the computer in units that are in a convenient range. For example, we never say \"the radious of this hydrogen atom is $0.00000000005$ meters\", we say it has $0.5$ Angstroms, $50$ picometers or $0.05$ **nanometers**!"
   ]
  }
 ],
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