82 lines
1.8 KiB
C
82 lines
1.8 KiB
C
/* Makes safe primes of a 2k nature */
|
|
#include <tommath.h>
|
|
#include <time.h>
|
|
|
|
static int sizes[] = {256, 512, 768, 1024, 1536, 2048, 3072, 4096};
|
|
|
|
int main(void)
|
|
{
|
|
char buf[2000];
|
|
size_t x;
|
|
bool y;
|
|
mp_int q, p;
|
|
FILE *out;
|
|
clock_t t1;
|
|
mp_digit z;
|
|
|
|
mp_init_multi(&q, &p, NULL);
|
|
|
|
out = fopen("2kprime.1", "w");
|
|
if (out != NULL) {
|
|
for (x = 0; x < (sizeof(sizes) / sizeof(sizes[0])); x++) {
|
|
top:
|
|
mp_2expt(&q, sizes[x]);
|
|
mp_add_d(&q, 3uL, &q);
|
|
z = -3;
|
|
|
|
t1 = clock();
|
|
for (;;) {
|
|
mp_sub_d(&q, 4uL, &q);
|
|
z += 4uL;
|
|
|
|
if (z > MP_MASK) {
|
|
printf("No primes of size %d found\n", sizes[x]);
|
|
break;
|
|
}
|
|
|
|
if ((clock() - t1) > CLOCKS_PER_SEC) {
|
|
printf(".");
|
|
fflush(stdout);
|
|
/* sleep((clock() - t1 + CLOCKS_PER_SEC/2)/CLOCKS_PER_SEC); */
|
|
t1 = clock();
|
|
}
|
|
|
|
/* quick test on q */
|
|
mp_prime_is_prime(&q, 1, &y);
|
|
if (!y) {
|
|
continue;
|
|
}
|
|
|
|
/* find (q-1)/2 */
|
|
mp_sub_d(&q, 1uL, &p);
|
|
mp_div_2(&p, &p);
|
|
mp_prime_is_prime(&p, 3, &y);
|
|
if (!y) {
|
|
continue;
|
|
}
|
|
|
|
/* test on q */
|
|
mp_prime_is_prime(&q, 3, &y);
|
|
if (!y) {
|
|
continue;
|
|
}
|
|
|
|
break;
|
|
}
|
|
|
|
if (!y) {
|
|
++sizes[x];
|
|
goto top;
|
|
}
|
|
|
|
mp_to_decimal(&q, buf, sizeof(buf));
|
|
printf("\n\n%d-bits (k = %lu) = %s\n", sizes[x], z, buf);
|
|
fprintf(out, "%d-bits (k = %lu) = %s\n", sizes[x], z, buf);
|
|
fflush(out);
|
|
}
|
|
fclose(out);
|
|
}
|
|
|
|
return 0;
|
|
}
|