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• Fermat number
  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
• Cunningham project
  ...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 never t ...it is considered the oldest continuously ongoing activity in computational number theory.
  7 KB (1,150 words) - 23:48, 19 April 2023
• Generalized Fermat number
  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
• Proth prime small bases least n
  ...] of the form {{Kbn|+|k|b|n}} for 2 ≤ ''b'' ≤ 1030 and 2 ≤ ''k'' ≤ 12. {{HistF|2023-10-20|&nbsp;{{T5000|136544|{{Kbn|+|12|978|312346}}}}|Predrag Kurtovic|641052}}
  7 KB (789 words) - 11:31, 26 October 2023
• Statistics
  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
• Proth prime 3 4
  |Pk=4 ...}}<br>For all even {{Vn}}-values {{Kbn|+|4|3|n}} is a [[Generalized Fermat number]].
  1 KB (120 words) - 21:11, 1 August 2021
• Proth prime 2 25
  4;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
• Generalized Fermat number 2 1
  {{DISPLAYTITLE:Fermat numbers}} Factorizations and statistics of [[Fermat number]]s {{V|F}}_{{V|m}} = {{Kbn|+|1|2|2^m}} and their factor
  2 KB (252 words) - 22:50, 10 September 2021
• Generalized Fermat number 3 1
  {{DISPLAYTITLE:Generalized Fermat numbers 3^2ⁿ+1 div 2}} Factorizations and statistics of [[Generalized Fermat number]]s {{V|GF}}_(3,1) = 3^2ⁿ+1 div 2 and their f
  2 KB (261 words) - 22:53, 10 September 2021