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AKS.c
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AKS.c
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#include <stdio.h>
/*
Check if n is a perfect power: if n = ab for integers a > 1 and b > 1, output composite.
Find the smallest r such that ordr(n) > (log2 n)2. (if r and n are not coprime, then skip this r)
For all 2 ≤ a ≤ min(r, n−1), check that a does not divide n: If a|n for some 2 ≤ a ≤ min(r, n−1), output composite.
If n ≤ r, output prime.
For a = 2 to sqrt(phi (r))*log(2)(n)
if (X+a)n≠ Xn+a (mod Xr − 1,n), output composite;
Output prime.
*/
int isprm(long long n)
{
long long i = 5, w = 2;
if (n == 2 || n==3)
return 1;
if(n%2 == 0 || n%3 == 0 || n == 1)
return 0;
while(i*i <= n)
{
if(n%i == 0)
return 0;
i += w;
w = 6 - w;
}
return 1;
}
int main()
{
// Prints all prime less than 100000000
for (int i = 1; i <= 100000000; i++)
{
if(isprm(i) == 1)
printf("%d\n",i);
}
return 0;
}