Status of Primality of Phi(n,3)

The following cyclotomic numbers are PRPs or Primes

1 3 6 7 9 10 12 13 14 15 21 24 26 33 36 40 46 60 63 70 71 72 86 103 108 130 132 143 145 154 161 236 255 261 276 279 287 304 364 430 464 513 528 541 562 665 672 680 707 718 747 760 782 828 875 892 974 984 987 1037 1058 1070 1073 1080 1091 1154 1248 1367 1426 1440 1462 1524 1598 1623 1627 1863 1985 2132 2188 2196 2340 2460 2508 2626 2640 2739 2856 3092 3158 3262 3315 3326 3482 3638 3982 4018 4036 4177 4749 4823 5148 5448 5475 5608 5840 6148 6382 6632 6878 7154 7292 8139 8248 8264 8372 8889 8967 9011 9055 9240 9551 9604 10066 10126 10932 11529 11554 11819 11966 12454 12655 15040 15142 15212 15416 15855 17570 17640 18418 18707 19126 19390 20426 20557 21624 22319 22514 22771 24960 25486 25690 25975 26186 28572 32256 32480

The following are only PRPs currently
1073 1367 1985 2626 2739 3262 3315 3638 3982 4018 4749 4823 5148 5448 5475 5840 6148 6382 6878 7154 7292 8139 8248 8372 8889 8967 9011 9055 9240 9551 10066 10126 11529 11554 11819 11966 12454 12655 15040 15142 15212 15416 15855 17570 17640 18418 18707 19126 19390 20426 20557 21624 22319 22514 22771 24960 25486 25690 25975 26186 28572 32256 32480

The following are Proven Prime
1 3 6 7 9 10 12 13 14 15 21 24 26 33 36 40 46 60 63 70 71 72 86 103 108 130 132 143 145 154 161 236 255 261 276 279 287 304 364 430 464 513 528 541 562 665 672 680 707 718 747 760 782 828 875 892 974 984 987 1037 1058 1070 1080 1091 1154 1248 1426 1440 1462 1524 1598 1623 1627 1863 2132 2188 2196 2340 2460 2508 2640 2856 3092 3158 3326 3482 4036 4177 5608 6632 8264 9604 10932

Of which:

The following used Trial-Division
1 3 6 7 9 10 12 13 14 15 21 24 26 36 40 60

The following used BLS:
33 46 63 70 71 72 86 103 108 130 132 145 154 236 261 276 279 304 464 513 528 541 562 672 718 747 828 875 892 974 984 1058 1080 1091 1154 1248 1440 1524 1623 1627 1863 2188 2196 3092 3158 3326 3482 4036 4177 5608 6632 8264 9604 10932

The following used ECPP:
143 161 255 287 364 430 665 680 707 760 782 987 1037 1070 1426 1462 1598 2132 2340 2460 2508 2640 2856

Autogenerated by ../createindices.pl at 2003-01-08 18:58:33

(c) Phil Carmody 2003