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  • In [[mathematics]], a '''Fermat number''', named after [[Pierre de Fermat]] who first studied them, is a positive integer of the form :{{V|F}}<sub>{{Vn}}</sub> = {{Kbn|+|1|2|2<sup>n</sup>}}
    12 KB (1,913 words) - 14:35, 9 August 2021
  • ...]] of numbers of the form <math>b^n\pm 1</math> for <math>b</math> = 2, 3, 5, 6, 7, 10, 11, 12. The values of the exponent <math>n</math> are selected s ...it is considered the oldest continuously ongoing activity in computational number theory.
    7 KB (1,150 words) - 23:48, 19 April 2023
  • '''Pépin's test''' is mainly used for proving the primality of [[Fermat number]]s, but it is of no help for finding the factors of such numbers. ...ralized Fermat number]]s <math>F_{n,2} = 4^{3^n}+2^{3^n}+1</math> with k = 5 instead of k = 3.
    2 KB (401 words) - 14:40, 6 March 2019
  • There are different kinds of '''generalized [[Fermat number]]s'''. ...^n}-1)</math> where p is the prime of apparition rank r (r(2)=1, r(3)=2, r(5)=3, ...) and n is greater or equal to 0.
    5 KB (726 words) - 09:57, 12 September 2021
  • ...Search|321 Prime Search]] searching for mega primes of the form {{Kbn|±|3|2|n}}. ...rch]] searching for primes of the forms {{Kbn|±|27|2|n}} and {{Kbn|±|121|2|n}}.
    3 KB (458 words) - 10:28, 26 March 2024
  • *'''[[Composite number]]''' - An [[integer]] that is not [[prime]]. *'''[[Exponent]]''' - In <math>3^5</math>, 5 is the exponent.
    1 KB (190 words) - 10:55, 7 March 2019
  • {{Generalized Fermat number |GFNb=5
    128 bytes (12 words) - 09:57, 30 July 2021
  • ...a [[Proth prime]] of the form {{Kbn|+|k|b|n}} for 2 ≤ ''b'' ≤ 1030 and 2 ≤ ''k'' ≤ 12. {{HistF|2024-05-04|&nbsp;{{T5000|138060|{{Kbn|+|5|308|309755}}}}|Predrag Kurtovic|656421}}
    7 KB (795 words) - 08:03, 5 May 2024
  • ...form a<sup>2<sup>n</sup></sup> + b<sup>2<sup>n</sup></sup> (if b=1 : a<sup>2<sup>n</sup></sup> + 1) with link to the page. ...ameter: the ''n''-value is given and displays as [[Fermat number]] {{Kbn|+|2<sup>n</sup>}}
    1 KB (183 words) - 10:27, 1 July 2020
  • ...p></sup> + {{V|b}}<sup>2<sup>{{Vn}}</sup></sup> (if {{Vb}}=1 : {{V|a}}<sup>2<sup>{{Vn}}</sup></sup> + 1) with link to the page. ...meter: the {{Vn}}-value is given and displays as [[Fermat number]] {{Kbn|+|2<sup>n</sup>}}: F(n)
    1 KB (194 words) - 10:20, 27 October 2020
  • Sequences (per base, {{Vk}}-value or individual number) with own page in this Wiki: ...ext-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Mersenne prime|pages|R}}-2}}}}
    11 KB (1,385 words) - 17:23, 5 April 2024
  • Collect the [[Generalized Fermat number]]s for which a given [[Proth prime]] is a divisor. 2,1,207#2020-11-11#Hans Riesel,Ray Ballinger,David Broadhurst,(bigger team)
    4 KB (432 words) - 09:55, 16 September 2021
  • Template Generalized Fermat number ...p>{{Vn}}</sup></sup>, for {{Vb}}=1 this is a [[Fermat number]] {{V|a}}<sup>2<sup>{{Vn}}</sup></sup> + 1.
    7 KB (861 words) - 08:51, 16 September 2021
  • {{Generalized Fermat number |GFNa=2
    120 bytes (12 words) - 18:11, 1 August 2021
  • {{Generalized Fermat number |GFNa=2
    128 bytes (12 words) - 08:55, 5 July 2021
  • {{Generalized Fermat number |GFNa=2
    140 bytes (12 words) - 00:56, 23 June 2021
  • Template: Navbox Generalized Fermat numbers {{Navbox Generalized Fermat numbers}}
    6 KB (499 words) - 08:48, 23 September 2021
  • {{Generalized Fermat number |GFNb=5
    123 bytes (12 words) - 17:43, 23 August 2021
  • {{Generalized Fermat number |GFNDigits=2
    125 bytes (12 words) - 11:48, 22 August 2021
  • {{Generalized Fermat number |GFNDigits=2
    125 bytes (12 words) - 23:08, 20 August 2021

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