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* $a^n \pm 1$ for $a ≤ 13$ and $a$ not a perfect number [http://wwwmaths.anu.edu.au/~brent/factors.html] |
2^n − 1 where n is odd
2^n + 1 where n is odd
2^n + 1 where n = 4k − 2
2^n + 1 where n = 4k
3^n − 1 where n is odd n < 540 ..... ......... . . . . 60
- n ≤ 540 n = 6k − 3 ≤ 1077
3^n + 1 L, M for . . . . 66
5^n − 1 where n is odd L, M for n = 10k − 5 ≤ 745 . . . .
n < 375 86 n ≤ 375
5^n + 1 .................. 94
6^n − 1 where n is odd n < 330 . . . . . . . . . . . . . . . . . . 102
- n ≤ 330 L, M for n = 12k − 6 ≤ 654 . . . . 106
6^n + 1
7^n − 1 where n is odd n < 300 . . . . . . . . . . . . . . . . . . 116
- n ≤ 300 L, M for n = 14k − 7 ≤ 595 . . . . 120
7^n + 1
10^n − 1 where n is odd n < 330 ..... ......... . . . . 129
- n ≤ 330 n = 20k − 10 ≤ 650
10^n + 1 L, M for . . . . 133
11^n − 1 where n is odd n < 240 ..... ......... . . . . 142
- n ≤ 240 n = 22k − 11 ≤ 473
11^n + 1 L, M for . . . . 145
12^n − 1 where n is odd n < 240 ..... ......... . . . . 152
- n ≤ 240 n = 6k − 3 ≤ 477 .
12^n + 1 L, M for . . . . 155
a^n \pm 1 for a ≤ 13 and a not a perfect number [http://wwwmaths.anu.edu.au/~brent/factors.html]