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• Proth prime 2 13
  {{Proth prime |Pk=13
  2 KB (197 words) - 08:36, 15 May 2024

Page text matches

• Sierpiński problem
  *{{Kbn|+|78557|12n+11}} is multiple of 13. (those values form a [[covering set]] of {3, 5, 7, 13, 19, 37, 73}) we can prepare the following table for the exponents modulo 3
  5 KB (650 words) - 10:25, 26 March 2024
• Pépin's test
  ...: "The test that we today call Pépin's test is actually [[Proth's theorem|Proth's test]] with a proof provided by Lucas". Pépin's test says: If <math>n>0</math>, <math>F_n = 2^{2^n}+1</math> is a prime if and only if <math>\ 3^{(F_n-1)/2} \ \equiv -1 \ \pmod{F_n}</math>.
  2 KB (401 words) - 14:40, 6 March 2019
• Proth prime 2 5
  {{Proth prime 13;T:G
  1 KB (144 words) - 11:12, 24 August 2021
• Proth prime 2 9
  {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
  3 KB (456 words) - 04:11, 15 May 2024
• Proth prime 2 13
  {{Proth prime |Pk=13
  2 KB (197 words) - 08:36, 15 May 2024
• Proth prime 2 33
  {{Proth prime 13;T:G
  2 KB (210 words) - 02:44, 15 May 2024
• Proth prime 2 127
  {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
  1 KB (111 words) - 00:53, 15 May 2024
• Proth prime 2 255
  {{Proth prime {{HistF|2022-11-24|3824348|James Scott Brown,PrimeGrid Proth Prime Search}}
  3 KB (263 words) - 10:10, 14 May 2024
• Proth prime 2 1023
  {{Proth prime 13
  3 KB (315 words) - 09:37, 14 May 2024
• Proth prime 3 26
  {{Proth prime {{HistF|2020-07-13|1700041|Paul Vanderveen|550507}}
  1 KB (124 words) - 08:43, 12 July 2021
• Proth prime 5 2
  {{Proth prime 13
  582 bytes (53 words) - 10:16, 12 July 2021
• Proth prime 3 10
  {{Proth prime |PDate=2020-09-13
  657 bytes (66 words) - 08:33, 12 July 2021
• Proth prime 2 78557
  {{Proth prime |PRemarks=Covering set = [3, 5, 7, 13, 19, 37, 73]
  165 bytes (15 words) - 07:30, 26 July 2021
• Proth prime 2 271129
  {{Proth prime |PRemarks=Covering set = [3, 5, 7, 13, 17, 241]
  159 bytes (15 words) - 07:33, 26 July 2021
• Proth prime 2 48495
  {{Proth prime 13
  962 bytes (80 words) - 12:47, 16 May 2024
• Proth prime 2 67275
  {{Proth prime 13;T:T
  278 bytes (33 words) - 15:49, 11 July 2021
• PrimeGrid Fermat Divisor Search
  *2021-03-01: [[Proth prime 2 25|{{Kbn|+|25|8788628}}]] *2021-02-17: [[Proth prime 2 17|{{Kbn|+|17|8636199}}]]
  4 KB (448 words) - 09:13, 7 September 2021
• Proth prime 3 2
  {{Proth prime {{HistF|2010-02-13|1086112|David Broadhurst}}
  2 KB (204 words) - 11:06, 18 April 2023
• Proth prime 5 24
  {{Proth prime |PDate=2020-11-13
  288 bytes (26 words) - 10:19, 12 July 2021
• Proth prime 6 35
  {{Proth prime 13
  391 bytes (32 words) - 10:04, 12 July 2021

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