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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
  • 11;T:G ...}}<br>For all even {{Vn}}-values {{Kbn|+|9|2|n}} is a [[Generalized Fermat number]].
    3 KB (432 words) - 18:48, 9 April 2023
  • |CuDate=2021-09-11 18496;23436;C:{{NPr|289|18502}}, [[Generalized Fermat number]]
    2 KB (175 words) - 14:54, 19 September 2021
  • {{HistF|2019-09-11|&nbsp;{{T5000|129920|{{Kbn|+|11|878|227481}}}}|(CharityEngine2)|525671}} ==={{Vk}} = 11===
    7 KB (789 words) - 11:31, 26 October 2023
  • |WiDate=2020-11-17 ...rks=For all even {{Vn}}-values {{Kbn|+|36|37|n}} is a [[Generalized Fermat number]].
    350 bytes (36 words) - 08:36, 1 August 2021
  • 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
  • ...}}<br>For all even {{Vn}}-values {{Kbn|+|4|3|n}} is a [[Generalized Fermat number]]. {{HistF|2019-11-28|1154598|Matthias Baur}}
    1 KB (120 words) - 21:11, 1 August 2021
  • {{Generalized Fermat number 604944512477,11
    177 bytes (13 words) - 10:30, 2 July 2021
  • {{Generalized Fermat number 75121989674761065,11
    204 bytes (12 words) - 14:01, 28 July 2021
  • {{Generalized Fermat number N1100000000193629185,11
    192 bytes (14 words) - 12:21, 2 July 2021
  • {{Generalized Fermat number |GFNn=11
    219 bytes (13 words) - 19:36, 6 July 2021
  • {{Generalized Fermat number |GFNa=11
    130 bytes (12 words) - 15:32, 17 August 2021
  • |PRemarks=All values are [[Generalized Fermat number]]s. {{HistF|2020-11-20|9584444|James Winskill,PrimeGrid 27121 Prime Search}} ([https://www.prim
    1 KB (112 words) - 19:02, 9 April 2023
  • ...arks=For all even {{Vn}}-values {{Kbn|+|25|2|n}} is a [[Generalized Fermat number]]. {{HistC|2021-04-01|9000000|PrimeGrid Fermat Divisor Search}}
    2 KB (301 words) - 00:37, 9 March 2023
  • {{Generalized Fermat number |GFNa=11
    123 bytes (12 words) - 17:43, 23 August 2021
  • {{Generalized Fermat number |GFNa=11
    129 bytes (12 words) - 01:18, 31 July 2021
  • {{Generalized Fermat number |GFNa=11
    128 bytes (12 words) - 01:21, 31 July 2021
  • {{Generalized Fermat number |GFNa=11
    128 bytes (12 words) - 01:24, 31 July 2021

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