math.md

The most beatutiful chaotic system - Tinkerbell

• https://en.wikipedia.org/wiki/Tinkerbell_map

Digits of Pi, e and others

• 22.4 trillion digits of Pi http://www.pi2e.ch/
• 3 billion digits of e
  • https://archive.org/details/3BillionDigitsOfE
  • https://archive.org/details/e3BillionDigits
• Numberworld torrents http://archive.fo/zrscy
  • http://www.numberworld.org/ftp/5%20trillion%20digits%20of%20Pi%20(0t%20-%201t).torrent
  • http://www.numberworld.org/ftp/5%20trillion%20digits%20of%20Pi%20(1t%20-%202t).torrent
  • http://www.numberworld.org/ftp/5%20trillion%20digits%20of%20Pi%20(2t%20-%203t).torrent
  • http://www.numberworld.org/ftp/5%20trillion%20digits%20of%20Pi%20(3t%20-%204t).torrent
  • http://www.numberworld.org/ftp/5%20trillion%20digits%20of%20Pi%20(4t%20-%205t).torrent
  • http://www.numberworld.org/ftp/e%20-%20Dec%20-%20500b.torrent
  • http://www.numberworld.org/ftp/e%20-%20Hex%20-%20415b.torrent
• more numbers at https://archive.md/9f2yt or http://archive.md/ukvs2
• a live archive of Pi
  • http://mc.fuz.su/bcdpi/
  • ftp://pi.super-computing.org/
• Some Pi stats
  • http://oeis.org/A036903
  • https://bellard.org/pi/pi2700e9/pidigits.html
  • https://arxiv.org/pdf/1612.00489.pdf

The best Prime number list

• 32 bit primes http://www.fukudat.com/prime/
• First 50 million primes https://primes.utm.edu/lists/small/millions/
• First billion primes https://static.bigprimes.net/archive/one-billion-primes.7z.torrent
• Primes up to a trillion http://www.primos.mat.br/indexen.html

The best special primes

• Mersenne Primes
  • https://www.mersenne.org/primes/
  • https://primes.utm.edu/mersenne/
• Hash table names http://www.planetmath.org/goodhashtableprimes
• Proth-Risel Primes
  • http://www.prothsearch.com/
  • https://www.rieselprime.de/
  • http://www.mersennewiki.org/index.php/Proth_and_Riesel_prime%2C_smallest
• Solinas prime https://eprint.iacr.org/2010/058.pdf

The best prime sieves and tests

• The best sieve in code https://github.com/kimwalisch/primesieve
• Best Prime Test
  • Miller-Rabin
  • Solovay–Strassen
  • Quadratic Frobenius
• Best Sieve - Sieve of Atkin

The best numerals

• decimal
  • https://en.wikipedia.org/wiki/Katapayadi_system
  • https://en.wikipedia.org/wiki/Mnemonic_major_system
  • https://en.wikipedia.org/wiki/Japanese_wordplay
• base 100
  • https://en.wikipedia.org/wiki/Brahmi_numerals
  • https://en.wikipedia.org/wiki/Ge%CA%BDez_script#Numerals
• base 1000
  • https://en.wikipedia.org/wiki/Cyrillic_numerals
  • https://en.wikipedia.org/wiki/Greek_numerals
  • https://en.wikipedia.org/wiki/Gematria
  • https://en.wikipedia.org/wiki/Abjad_numerals
• base 10000
  • https://en.wikipedia.org/wiki/Armenian_numerals
  • https://en.wikipedia.org/wiki/Georgian_numerals
• heavily extendible
  • https://en.wikipedia.org/wiki/%C4%80ryabha%E1%B9%ADa_numeration