1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
|
/* Makes safe primes of a DR nature */
#include <tommath.h>
int sizes[] = { 1+256/DIGIT_BIT, 1+512/DIGIT_BIT, 1+768/DIGIT_BIT, 1+1024/DIGIT_BIT, 1+2048/DIGIT_BIT, 1+4096/DIGIT_BIT };
int main(void)
{
int res, x, y;
char buf[4096];
FILE *out;
mp_int a, b;
mp_init(&a);
mp_init(&b);
out = fopen("drprimes.txt", "w");
for (x = 0; x < (int)(sizeof(sizes)/sizeof(sizes[0])); x++) {
top:
printf("Seeking a %d-bit safe prime\n", sizes[x] * DIGIT_BIT);
mp_grow(&a, sizes[x]);
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 = 0;
for (;;) {
a.dp[0] += 4;
if (a.dp[0] >= MP_MASK) break;
mp_prime_is_prime(&a, 1, &res);
if (res == 0) continue;
printf("."); fflush(stdout);
mp_sub_d(&a, 1, &b);
mp_div_2(&b, &b);
mp_prime_is_prime(&b, 3, &res);
if (res == 0) continue;
mp_prime_is_prime(&a, 3, &res);
if (res == 1) break;
}
if (res != 1) {
printf("Error not DR modulus\n"); sizes[x] += 1; goto top;
} else {
mp_toradix(&a, buf, 10);
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);
mp_clear(&a);
mp_clear(&b);
return 0;
}
|