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Difference between revisions of "Proth 4 Sierpinski"
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{{DISPLAYTITLE:Sierpiński numbers of the form {{Kbn|+|k|4|n}}}} | {{DISPLAYTITLE:Sierpiński numbers of the form {{Kbn|+|k|4|n}}}} | ||
| − | '''Sierpiński numbers''' are numbers where {{Vk}} !≡ 0 mod 4 for which {{Kbn|+|k|4|n}} is composite for all natural numbers {{Vn}} and has a finite covering set of two or more distinct factors. | + | '''Sierpiński numbers base 4''' are numbers where {{Vk}} !≡ 0 mod 4 for which {{Kbn|+|k|4|n}} is composite for all natural numbers {{Vn}} and has a finite covering set of two or more distinct factors. |
==See also== | ==See also== | ||
Latest revision as of 14:21, 23 June 2024
Sierpiński numbers base 4 are numbers where k !≡ 0 mod 4 for which k•4n+1 is composite for all natural numbers n and has a finite covering set of two or more distinct factors.
See also
- OEIS sequence A251057 is a subset of these numbers.
Table
There are 4 sequences in this Wiki:
| k | Covering set |
|---|---|
| 66741 | [5, 7, 13, 17, 241] |
| 157114 | [5, 7, 13, 19, 37, 73] |
| 190566 | [5, 7, 13, 19, 73, 109] |
| 271129 | [5, 7, 13, 17, 241] |
Proth primes
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