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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. ...mber]]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'''. ...-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
  • ...Network Computing]] (BOINC) platform. As of October 2020, there are about 3,300 active participants (on about 16,000 host computers) from 89 countries, ...Search|321 Prime Search]] searching for mega primes of the form {{Kbn|±|3|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|2022-07-30|&nbsp;{{Kbn|+|3|912|132173}}|(Anonymous)|610485}}
    7 KB (789 words) - 11:31, 26 October 2023
  • 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
  • {{Generalized Fermat number |GFNb=3
    125 bytes (12 words) - 23:08, 20 August 2021
  • {{Generalized Fermat number |GFNa=3
    120 bytes (12 words) - 15:52, 17 August 2021
  • {{Generalized Fermat number |GFNb=2
    129 bytes (12 words) - 01:18, 31 July 2021
  • {{Generalized Fermat number |GFNa=3
    136 bytes (12 words) - 19:53, 1 August 2021
  • {{DISPLAYTITLE:Fermat numbers}} ...ub>{{V|m}}</sub> = {{Kbn|+|1|2|2<sup>m</sup>}} and their factors {{Kbn|+|k|2|n}}.
    2 KB (252 words) - 22:50, 10 September 2021
  • {{DISPLAYTITLE:Generalized Fermat numbers 3<sup>2<sup>n</sup></sup>+1 div 2}} ...3,1)</sub> = 3<sup>2<sup>n</sup></sup>+1 div 2 and their factors {{Kbn|+|k|2|n}}.
    2 KB (261 words) - 22:53, 10 September 2021
  • ...:GF Divisors of {{V|GF}}<sub>(3,1)</sub> = 3<sup>2<sup>n</sup></sup>+1 div 2}} ...ermat number]]s {{V|GF}}<sub>(3,1)</sub> = 3<sup>2<sup>n</sup></sup>+1 div 2.
    617 bytes (84 words) - 22:54, 10 September 2021
  • {{Generalized Fermat number |GFNa=5
    124 bytes (12 words) - 16:02, 18 August 2021
  • {{Generalized Fermat number |GFNa=5
    124 bytes (12 words) - 16:06, 18 August 2021
  • {{Generalized Fermat number |GFNa=5
    122 bytes (12 words) - 16:13, 18 August 2021
  • {{Generalized Fermat number |GFNa=5
    122 bytes (12 words) - 16:14, 18 August 2021

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