Differences between revisions 2 and 3
Revision 2 as of 2007-01-23 01:40:25
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Revision 3 as of 2007-01-23 02:01:03
Size: 1523
Comment:
Deletions are marked like this. Additions are marked like this.
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 * 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 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
 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
  • 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
    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

factorization_of_integers_of_special_forms (last edited 2008-11-14 13:41:51 by localhost)