| Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
Navigation
| Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Difference between revisions of "Generalized Fermat number 3 1"
(new) |
m |
||
| (One intermediate revision by the same user not shown) | |||
| Line 3: | Line 3: | ||
{{#dpl: | {{#dpl: | ||
| − | |category=Generalized Fermat number 3 1 | + | |category=Generalized Fermat number 3 1 Divs |
| − | |||
|namespace= | |namespace= | ||
|resultsheader=Currently there are '''%PAGES%''' factors known. | |resultsheader=Currently there are '''%PAGES%''' factors known. | ||
| Line 42: | Line 41: | ||
{{#dpl: | {{#dpl: | ||
|debug=0 | |debug=0 | ||
| − | |category=Generalized Fermat number {{#explode:{{PAGENAME}}| |-2}} {{#explode:{{PAGENAME}}| |-1}} | + | |category=Generalized Fermat number {{#explode:{{PAGENAME}}| |-2}} {{#explode:{{PAGENAME}}| |-1}} Nums |
| − | |||
| − | |||
|order=ascending | |order=ascending | ||
|ordermethod=sortkey | |ordermethod=sortkey | ||
| Line 52: | Line 49: | ||
|resultsheader=<b>There are %PAGES% General Fermat numbers</b>:\n | |resultsheader=<b>There are %PAGES% General Fermat numbers</b>:\n | ||
}} | }} | ||
| + | {{Navbox Generalized Fermat numbers}} | ||
[[Category:Generalized Fermat number 3 1| ]] | [[Category:Generalized Fermat number 3 1| ]] | ||
Latest revision as of 22:53, 10 September 2021
Factorizations and statistics of Generalized Fermat numbers GF(3,1) = 32n+1 div 2 and their factors k•2n+1.
Currently there are 121 factors known.
Count of factors according to difference n - m
| n-m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Frequency | 23 | 18 | 16 | 6 | 7 | 2 | 1 | 1 | 0 | 1 | 0 |
Factorizations
There are 15 General Fermat numbers:
| m | State | Factorization |
|---|---|---|
| 0 | PR | 2 |
| 1 | PR | 5 |
| 2 | PR | 41 |
| 3 | FF | 17 * 193 |
| 4 | PR | 21523361 |
| 5 | PR | 926510094425921 |
| 6 | PR | 1716841910146256242328924544641 |
| 7 | FF | 257 * 275201 * 138424618868737<15> * 3913786281514524929<19> * 153849834853910661121<21> |
| 8 | FF | 12289 * 8972801 * 891206124520373602817<21> |
| 9 | FF | 134382593 * 22320686081<11> * 12079910333441<14> * 100512627347897906177<21> |
| 15 | CF | 65537 * 786433 * 3041503300933451777<19> * 951901181416549122049<21> * C<15584> |
| 207 | UF | 2468256835981809063232453773836025757474103798450369795022913537<64> |
| 34346 | UF | P<10341> |
| 42290 | UF | P<12733> |
| 16408814 | UF | P<4939547> |
Generalized Fermat numbers
| Miscellaneous |
| Fermat numbers |
|
| Gen. Fermat primes |
| Gen. Fermat primes |
| Gen. Fermat primes categories |
| GF Divisors |
