/* Makes safe primes of a DR nature */ #include static int sizes[] = { 1+256/MP_DIGIT_BIT, 1+512/MP_DIGIT_BIT, 1+768/MP_DIGIT_BIT, 1+1024/MP_DIGIT_BIT, 1+2048/MP_DIGIT_BIT, 1+4096/MP_DIGIT_BIT }; int main(void) { bool res; int x, y; char buf[4096]; FILE *out; mp_int a, b; mp_err err; if ((err = mp_init(&a)) != MP_OKAY) goto LTM_ERR; if ((err = mp_init(&b)) != MP_OKAY) goto LTM_ERR; out = fopen("drprimes.txt", "w"); if (out != NULL) { for (x = 0; x < (int)(sizeof(sizes)/sizeof(sizes[0])); x++) { top: printf("Seeking a %d-bit safe prime\n", sizes[x] * MP_DIGIT_BIT); if ((err = mp_grow(&a, sizes[x])) != MP_OKAY) goto LTM_ERR; mp_zero(&a); for (y = 1; y < sizes[x]; y++) { a.dp[y] = MP_MASK; } /* make a DR modulus */ a.dp[0] = -1; a.used = sizes[x]; /* now loop */ res = false; for (;;) { a.dp[0] += 4uL; if (a.dp[0] >= MP_MASK) break; if ((err = mp_prime_is_prime(&a, 1, &res)) != MP_OKAY) goto LTM_ERR; if (!res) continue; printf("."); fflush(stdout); if ((err = mp_sub_d(&a, 1uL, &b)) != MP_OKAY) goto LTM_ERR; if ((err = mp_div_2(&b, &b)) != MP_OKAY) goto LTM_ERR; if ((err = mp_prime_is_prime(&b, 3, &res)) != MP_OKAY) goto LTM_ERR; if (!res) continue; if ((err = mp_prime_is_prime(&a, 3, &res)) != MP_OKAY) goto LTM_ERR; if (res) break; } if (!res) { printf("Error not DR modulus\n"); sizes[x] += 1; goto top; } else { if ((err = mp_to_decimal(&a, buf, sizeof(buf))) != MP_OKAY) goto LTM_ERR; printf("\n\np == %s\n\n", buf); fprintf(out, "%d-bit prime:\np == %s\n\n", mp_count_bits(&a), buf); fflush(out); } } fclose(out); } LTM_ERR: mp_clear(&a); mp_clear(&b); return 0; }