factorization_of_integers_of_special_forms

• 2n−1 where n is odd

• 2n+1 where n is odd

• 2n+1 where n = 4k − 2

• 2n+1 where n = 4k

• 3n−1 where n is odd n < 540 ..... ......... . . . . 60

  • n ≤ 540 n = 6k − 3 ≤ 1077
  3n + 1 L, M for . . . . 66 5n − 1 n odd L, M for n = 10k − 5 ≤ 745 . . . .

  • n < 375 86 n ≤ 375

  5n + 1 .................. 94

  6n − 1 n odd n < 330 . . . . . . . . . . . . . . . . . . 102

  • n ≤ 330 L, M for n = 12k − 6 ≤ 654 . . . . 106
  6n + 1

  7n − 1 n odd n < 300 . . . . . . . . . . . . . . . . . . 116

  • n ≤ 300 L, M for n = 14k − 7 ≤ 595 . . . . 120
  7n + 1

10n − 1 n odd n < 330 ..... ......... . . . . 129

• n ≤ 330 n = 20k − 10 ≤ 650

10n + 1 L, M for . . . . 133 11n − 1 n odd n < 240 ..... ......... . . . . 142

• n ≤ 240 n = 22k − 11 ≤ 473

11n + 1 L, M for . . . . 145 12n − 1 n odd n < 240 ..... ......... . . . . 152

• n ≤ 240 n = 6k − 3 ≤ 477 .

12n + 1 L, M for . . . . 155