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prob37.c
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prob37.c
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#include<stdio.h>
#include<stdlib.h>
#include<math.h>
#include<stdint.h>
#include<inttypes.h>
uint64_t prime_size;
uint64_t my_index;
uint64_t* primes;
int isPrime(uint64_t n){
if(n==1){
return 0;
}
uint64_t i = 0;
int eligible = 1;
uint64_t bound = pow(n, 0.5) + 1;
for(i=0; primes[i]<=bound && n>primes[i] && i<my_index; i++){
if(n%primes[i]==0){
eligible = 0;
break;
}
}
if(eligible){
primes[my_index++] = n;
}
return eligible;
}
int isRightTruncatable(uint64_t n){
int is_it = 1;
while(n>0){
if( ! isPrime(n) ){
is_it = 0;
break;
}
n /= 10;
}
return is_it;
}
int isLeftTruncatable(uint64_t n){
int is_it = 1;
int len = 0, i=0;
uint64_t num_cpy = n;
while(num_cpy>0){
len++;
num_cpy /= 10;
}
uint64_t mul = 1;
for(i=0; i<len; i++){
mul *= 10;
}
while(mul>0 && n>0){
if( ! isPrime(n) ){
is_it = 0;
break;
}
mul /= 10;
n = n%mul;
}
return is_it;
}
int main(){
uint64_t i = 2;
int count = 0;
uint64_t sum = 0;
prime_size = 1000000;
primes = (uint64_t*) malloc(prime_size*sizeof(uint64_t));
primes[my_index++] = 2;
while(count<11 && i<prime_size){
i++;
if( isPrime(i)){
if ( i>10 && isRightTruncatable(i) && isLeftTruncatable(i) ){
count++;
printf("%" PRIu64 "\n", i);
sum += i;
}
}
}
if(i>=prime_size){
printf("Increase prime size\n");
}else{
printf("\nsum = %" PRIu64 "\n", sum);
}
printf("\nsum = %" PRIu64 "\n", sum);
return 0;
}