factorization_of_integers_of_special_forms

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