The problem statement is the following
Problem Statement
My code is here:The first known prime found to exceed one million digits was discovered in 1999, and is a Mersenne prime of the form 2^(6972593)−1; it contains exactly 2,098,960 digits. Subsequently other Mersenne primes, of the form 2^(p)−1, have been found which contain more digits.
However, in 2004 there was found a massive non-Mersenne prime which contains 2,357,207 digits: 28433×2^(7830457)+1.
Find the last ten digits of this prime number.
the code gives the wrong result. I was trying to analyze it. When in the first for loop, i put the limit i <= 34 and i <= 35, it gave the same output .. (it worked fine for all i <= 34). then after i = 34, the answers it gave were actually for i-1 i.e. i <= 35 gave answer for i<=34, i <=36 gave answer for i<=35 .. i did not bother to check higher values because i found that the final answer for i <= 7830461 is given much after i = 7830461.Code:#include <stdio.h> int main() { int a[10], i, j; for(i=0; i<20; i++) { a[i] = 0; a[9] = 1; } for(i=1; i <= 7830461; i++) { for(j = 9; j>=0; j--) { a[j] *= 2; } for(j=9; j>=0; j--) { if (a[j] >= 10) { a[j-1]+= a[j]/10; a[j] = a[j]%10; } } //printf("%d%d%d%d%d%d%d%d%d%d\n", a[0],a[1],a[2],a[3],a[4],a[5],a[6],a[7],a[8],a[9]); } printf("%d%d%d%d%d%d%d%d%d%d\n", a[0],a[1],a[2],a[3],a[4],a[5],a[6],a[7],a[8],a[9]); for(j=9; j>=0; j--) { a[j] *= 28433; } for(j=9; j>=0; j--) { if (a[j] >= 10) { a[j-1] += a[j]/10; a[j] = a[j]%10; } } a[9]++; printf("%d%d%d%d%d%d%d%d%d%d", a[0],a[1],a[2],a[3],a[4],a[5],a[6],a[7],a[8],a[9]); getch(); }
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