Differences between revisions 1 and 4 (spanning 3 versions)
⇤ ← Revision 1 as of 2007-01-23 01:39:03 →
Size: 71
Editor: TimothyClemans
Comment:
← Revision 4 as of 2007-01-23 02:07:36 → ⇥
Size: 1648
Editor: TimothyClemans
Comment:
Deletions are marked like this. Additions are marked like this.
Line 1: Line 1:
* 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
 * $3^n + 1$ 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

  • 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

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