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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 where {{Vn}} is a [[non-negative]] [[integer]]. The first eight Fermat numbers are (see {{OEIS|l|A000215}}):
    12 KB (1,913 words) - 14:35, 9 August 2021
  • ...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 so there is nev ...it is considered the oldest continuously ongoing activity in computational number theory.
    7 KB (1,150 words) - 23:48, 19 April 2023
  • There are different kinds of '''generalized [[Fermat number]]s'''. :<math>F_{0,r}</math> generates the [[Mersenne number]]s.
    5 KB (726 words) - 09:57, 12 September 2021
  • 6;T:G 11;T:G
    3 KB (432 words) - 18:48, 9 April 2023
  • {{HistF|2019-12-10|&nbsp;{{Kbn|+|6|522|52603}}|Gary Barnes|532521}} {{HistF|2019-09-11|&nbsp;{{T5000|129920|{{Kbn|+|11|878|227481}}}}|(CharityEngine2)|525671}}
    7 KB (789 words) - 11:31, 26 October 2023
  • Sequences (per base, {{Vk}}-value or individual number) with own page in this Wiki: | [[:Category:Mersenne prime|Mersenne primes]] || number || style="text-align:right;"|{{Num|{{#expr:{{PAGESINCATEGORY:Mersenne prime
    11 KB (1,385 words) - 17:23, 5 April 2024
  • 6 ...}}<br>For all even {{Vn}}-values {{Kbn|+|4|3|n}} is a [[Generalized Fermat number]].
    1 KB (120 words) - 21:11, 1 August 2021
  • 6;T:G ...arks=For all even {{Vn}}-values {{Kbn|+|25|2|n}} is a [[Generalized Fermat number]].
    2 KB (301 words) - 00:37, 9 March 2023
  • {{DISPLAYTITLE:Fermat numbers}} Factorizations and statistics of [[Fermat number]]s {{V|F}}<sub>{{V|m}}</sub> = {{Kbn|+|1|2|2<sup>m</sup>}} and their factor
    2 KB (252 words) - 22:50, 10 September 2021
  • {{DISPLAYTITLE:Generalized Fermat numbers 3<sup>2<sup>n</sup></sup>+1 div 2}} Factorizations and statistics of [[Generalized Fermat number]]s {{V|GF}}<sub>(3,1)</sub> = 3<sup>2<sup>n</sup></sup>+1 div 2 and their f
    2 KB (261 words) - 22:53, 10 September 2021
  • {{Generalized Fermat number |GFNa=6
    122 bytes (12 words) - 22:47, 22 August 2021
  • {{Generalized Fermat number |GFNa=11
    130 bytes (12 words) - 23:03, 22 August 2021
  • {{Generalized Fermat number |GFNa=11
    171 bytes (13 words) - 08:00, 24 August 2021
  • {{Generalized Fermat number |GFNa=11
    123 bytes (12 words) - 09:13, 24 August 2021
  • {{Generalized Fermat number |GFNa=11
    123 bytes (12 words) - 10:39, 24 August 2021
  • {{Generalized Fermat number |GFNa=11
    125 bytes (12 words) - 10:40, 24 August 2021
  • {{Generalized Fermat number |GFNa=11
    129 bytes (12 words) - 10:41, 24 August 2021
  • {{Generalized Fermat number |GFNa=11
    206 bytes (12 words) - 10:48, 24 August 2021
  • {{Generalized Fermat number |GFNa=6
    131 bytes (12 words) - 12:26, 24 August 2021
  • 6 |PRemarks=For all {{Vn}}-values {{Kbn|+|49|2|n}} is a [[Generalized Fermat number]].
    1 KB (144 words) - 22:24, 5 July 2023

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