Diff for "factorization_of_integers_of_special_forms"

Differences between revisions 1 and 3 (spanning 2 versions)

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

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

-  ⇤ ← Revision 1 as of 2007-01-23 01:39:03 → 
  Size: 71
  Editor: TimothyClemans
  Comment:
+   ← Revision 3 as of 2007-01-23 02:01:03 → ⇥
  Size: 1523
  Editor: TimothyClemans
  Comment:
-Deletions are marked like this.
+Additions are marked like this.
 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
 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