NTT(快速数论变换)用到的各种素数及原根 | |||
---|---|---|---|
g是mod(r * 2 ^ k + 1)的原根 | |||
r * 2 ^ k + 1 | r | k | g |
3 | 1 | 1 | 2 |
5 | 1 | 2 | 2 |
17 | 1 | 4 | 3 |
97 | 3 | 5 | 5 |
193 | 3 | 6 | 5 |
257 | 1 | 8 | 3 |
7681 | 15 | 9 | 17 |
12289 | 3 | 12 | 11 |
40961 | 5 | 13 | 3 |
65537 | 1 | 16 | 3 |
786433 | 3 | 18 | 10 |
5767169 | 11 | 19 | 3 |
7340033 | 7 | 20 | 3 |
23068673 | 11 | 21 | 3 |
104857601 | 25 | 22 | 3 |
167772161 | 5 | 25 | 3 |
469762049 | 7 | 26 | 3 |
985661441 | 235 | 22 | 3 |
998244353 | 119 | 23 | 3 |
1004535809 | 479 | 21 | 3 |
2013265921 | 15 | 27 | 31 |
2281701377 | 17 | 27 | 3 |
3221225473 | 3 | 30 | 5 |
75161927681 | 35 | 31 | 3 |
77309411329 | 9 | 33 | 7 |
206158430209 | 3 | 36 | 22 |
2061584302081 | 15 | 37 | 7 |
2748779069441 | 5 | 39 | 3 |
6597069766657 | 3 | 41 | 5 |
39582418599937 | 9 | 42 | 5 |
79164837199873 | 9 | 43 | 5 |
263882790666241 | 15 | 44 | 7 |
1231453023109120 | 35 | 45 | 3 |
1337006139375610 | 19 | 46 | 3 |
3799912185593850 | 27 | 47 | 5 |
4222124650659840 | 15 | 48 | 19 |
7881299347898360 | 7 | 50 | 6 |
31525197391593400 | 7 | 52 | 3 |
180143985094819000 | 5 | 55 | 6 |
1945555039024050000 | 27 | 56 | 5 |
4179340454199820000 | 29 | 57 | 3 |