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Create the page "Proth prime prime" on this wiki! See also the search results found.

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  • Proth prime 2 1089927
    {{Proth prime
    432 bytes (32 words) - 13:38, 2 January 2023
  • Proth prime 2 12321
    {{Proth prime
    498 bytes (31 words) - 13:34, 2 January 2023
  • Proth prime 2 1943873
    {{Proth prime
    334 bytes (32 words) - 15:12, 27 January 2023
  • Riesel and Proth Prime Database
    ...oth prime]]s and some others subjects like [[Aliquot sequence]]s or [[Home prime]]s. *[https://www.rieselprime.de/default.htm Riesel and Proth Prime Database main page]
    380 bytes (59 words) - 14:14, 24 January 2019
  • Proth prime 2 28831
    {{Proth prime
    581 bytes (64 words) - 19:18, 5 April 2023
  • Proth prime
    ...in the form {{Kbn|+|k|n}} with 2<sup>''n''</sup> > ''k'' are often called Proth primes. *[[Proth's theorem]]
    656 bytes (91 words) - 07:02, 31 August 2020
  • Proth prime 2 1
    {{Proth prime
    212 bytes (30 words) - 15:35, 2 October 2022
  • Proth prime 2 3
    {{Proth prime {{HistF|2020-10-25|16408818|James Scott Brown,PrimeGrid 321 Prime Search|561613}} ([https://www.primegrid.com/download/321-16408818.pdf Offic
    3 KB (336 words) - 16:58, 15 April 2024
  • Proth prime 2 5
    {{Proth prime
    1 KB (144 words) - 11:12, 24 August 2021
  • Proth prime 2 7
    {{Proth prime {{HistF|2012-11-10|5775996|Martyn Elvy,PrimeGrid Proth Prime Search}} ([http://www.primegrid.com/download/PPS-5775996.pdf Official annou
    2 KB (267 words) - 21:47, 5 July 2023
  • Proth prime table
    Automatically generated table from available [[:Category:Proth prime|Proth primes]]. category=Category:Proth 2
    750 bytes (108 words) - 14:39, 12 July 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 11
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (248 words) - 08:42, 15 May 2024
  • Proth prime 2 13
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (197 words) - 08:36, 15 May 2024
  • Proth prime 2 15
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    3 KB (412 words) - 08:00, 15 May 2024
  • Proth prime 2 17
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    1 KB (149 words) - 04:18, 15 May 2024
  • Proth prime 2 19
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    1 KB (153 words) - 04:17, 15 May 2024
  • Proth prime 2 1527888802614951
    {{Proth prime
    371 bytes (31 words) - 08:06, 18 September 2021
  • Proth prime 2 301
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (129 words) - 09:06, 14 May 2024
  • Proth prime 2 31
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    913 bytes (102 words) - 03:04, 15 May 2024
  • Proth prime 2 511
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    470 bytes (49 words) - 09:13, 14 May 2024
  • Proth prime 2 33
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (210 words) - 02:44, 15 May 2024
  • Proth prime small bases least n
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|b|n}}, least ''n''-values}} Here are shown the least ''n'' ≥ 1 generating a [[Proth prime]] of the form {{Kbn|+|k|b|n}} for 2 ≤ ''b'' ≤ 1030 and 2 ≤ ''k'' ≤
    7 KB (795 words) - 08:03, 5 May 2024
  • Proth prime 2 63
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    3 KB (299 words) - 01:29, 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 {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    3 KB (315 words) - 09:37, 14 May 2024
  • Proth prime 2 129
    {{Proth prime {{HistF|2022-03-24|3218214|Florian Baur,PrimeGrid Proth Prime Search}}
    2 KB (194 words) - 00:52, 15 May 2024
  • Proth prime 2 513
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    2 KB (186 words) - 04:31, 14 May 2024
  • Proth prime 2 801
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (116 words) - 09:29, 14 May 2024
  • Proth prime 2 30562993973479965532402725
    {{Proth prime
    1 KB (19 words) - 16:07, 11 July 2021
  • Proth prime 2 32268186233370440249391495
    {{Proth prime
    1 KB (19 words) - 16:09, 11 July 2021
  • Proth prime 3 26
    {{Proth prime
    1 KB (124 words) - 08:43, 12 July 2021
  • Proth prime 3 8
    {{Proth prime
    631 bytes (65 words) - 08:21, 12 July 2021
  • Proth prime 2 19683
    {{Proth prime
    681 bytes (56 words) - 15:43, 11 July 2021
  • Proth prime 5 6436
    {{Proth prime
    122 bytes (13 words) - 10:23, 12 July 2021
  • Proth prime 2 10223
    {{Proth prime
    561 bytes (72 words) - 17:14, 13 August 2021
  • Proth prime 2 68633
    {{Proth prime
    545 bytes (60 words) - 14:28, 7 April 2023
  • Proth prime 2 22249
    {{Proth prime
    694 bytes (77 words) - 15:44, 11 July 2021
  • Proth prime 2 12743
    {{Proth prime
    318 bytes (34 words) - 15:42, 11 July 2021
  • Proth prime 2 21181
    {{Proth prime
    115 bytes (12 words) - 13:33, 12 July 2021
  • Proth prime 2 22699
    {{Proth prime
    114 bytes (12 words) - 13:22, 12 July 2021
  • Proth prime 2 84966861
    {{Proth prime
    398 bytes (29 words) - 15:58, 11 July 2021
  • Proth prime 2 9267
    {{Proth prime ...y part of [[Multi Reservation:25|Multi Reservation 25]]: [[PrimeGrid Proth Prime Search Extended]].
    1 KB (161 words) - 09:08, 10 May 2024
  • Proth prime 2 32247
    {{Proth prime
    608 bytes (65 words) - 07:12, 3 February 2024
  • Proth prime 2 53133
    {{Proth prime
    555 bytes (60 words) - 07:11, 3 February 2024
  • Proth prime 2 66741
    {{Proth prime ...to be the smallest odd {{Vk}} ≡ 0 mod 3 for which {{Kbn|+|k|n}} is never prime for an even {{Vn}}. See [[Liskovets-Gallot conjectures]].
    396 bytes (50 words) - 09:17, 10 May 2024
  • Proth prime 2 95283
    {{Proth prime ...lue seems the smallest {{Vk}} ≡ 0 mod 3 for which {{Kbn|+|k|n}} is never prime for an odd {{Vn}}. See [[Liskovets-Gallot conjectures]].
    457 bytes (43 words) - 15:52, 11 July 2021
  • Proth prime 7 48
    {{Proth prime
    403 bytes (36 words) - 09:59, 12 July 2021
  • Proth prime 7 4
    {{Proth prime
    459 bytes (40 words) - 09:57, 12 July 2021
  • Proth prime 5 2
    {{Proth prime
    582 bytes (53 words) - 10:16, 12 July 2021
  • Proth prime 2 2003663613
    {{Proth prime
    561 bytes (36 words) - 08:44, 23 July 2021
  • Proth prime 3 10
    {{Proth prime
    657 bytes (66 words) - 08:33, 12 July 2021
  • Proth prime 2 24737
    {{Proth prime
    115 bytes (12 words) - 13:33, 12 July 2021
  • Proth prime 2 55459
    {{Proth prime
    115 bytes (12 words) - 13:34, 12 July 2021
  • Proth prime 2 67607
    {{Proth prime
    114 bytes (12 words) - 13:23, 12 July 2021
  • Proth prime 5 118568
    {{Proth prime
    314 bytes (35 words) - 08:43, 10 April 2023
  • Proth prime 5 138514
    {{Proth prime
    310 bytes (35 words) - 08:44, 10 April 2023
  • Proth prime 5 7528
    {{Proth prime
    122 bytes (13 words) - 10:27, 12 July 2021
  • Proth prime 5 10918
    {{Proth prime
    123 bytes (13 words) - 10:28, 12 July 2021
  • Proth prime 5 26798
    {{Proth prime
    123 bytes (13 words) - 10:32, 12 July 2021
  • Proth prime 2 168451
    {{Proth prime {{HistF|2017-09-17|19375200|Ben Maloney,PrimeGrid Prime Sierpiński Problem}}
    225 bytes (24 words) - 15:53, 11 July 2021
  • Proth prime 5 29914
    {{Proth prime
    123 bytes (13 words) - 10:33, 12 July 2021
  • Proth prime 5 152588
    {{Proth prime
    124 bytes (13 words) - 11:12, 12 July 2021
  • Proth prime 5 139196
    {{Proth prime
    124 bytes (13 words) - 11:12, 12 July 2021
  • Proth prime 5 126134
    {{Proth prime
    124 bytes (13 words) - 11:08, 12 July 2021
  • Proth prime 5 105464
    {{Proth prime
    124 bytes (13 words) - 11:06, 12 July 2021
  • Proth prime 5 93484
    {{Proth prime
    123 bytes (13 words) - 11:05, 12 July 2021
  • Proth prime 5 92906
    {{Proth prime
    123 bytes (13 words) - 11:04, 12 July 2021
  • Proth prime 5 90056
    {{Proth prime
    123 bytes (13 words) - 11:04, 12 July 2021
  • Proth prime 5 84284
    {{Proth prime
    123 bytes (13 words) - 11:03, 12 July 2021
  • Proth prime 5 83936
    {{Proth prime
    123 bytes (13 words) - 11:01, 12 July 2021
  • Proth prime 5 76724
    {{Proth prime
    123 bytes (13 words) - 10:57, 12 July 2021
  • Proth prime 5 74632
    {{Proth prime
    123 bytes (13 words) - 10:56, 12 July 2021
  • Proth prime 5 71492
    {{Proth prime
    123 bytes (13 words) - 10:56, 12 July 2021
  • Proth prime 5 67748
    {{Proth prime
    123 bytes (13 words) - 10:55, 12 July 2021
  • Proth prime 5 67612
    {{Proth prime
    123 bytes (13 words) - 10:54, 12 July 2021
  • Proth prime 5 64258
    {{Proth prime
    123 bytes (13 words) - 10:54, 12 July 2021
  • Proth prime 5 62698
    {{Proth prime
    123 bytes (13 words) - 10:46, 12 July 2021
  • Proth prime 5 60394
    {{Proth prime
    123 bytes (13 words) - 10:44, 12 July 2021
  • Proth prime 5 58642
    {{Proth prime
    123 bytes (13 words) - 10:42, 12 July 2021
  • Proth prime 5 51208
    {{Proth prime
    123 bytes (13 words) - 10:41, 12 July 2021
  • Proth prime 5 45748
    {{Proth prime
    123 bytes (13 words) - 10:40, 12 July 2021
  • Proth prime 5 44738
    {{Proth prime
    123 bytes (13 words) - 10:39, 12 July 2021
  • Proth prime 5 44348
    {{Proth prime
    123 bytes (13 words) - 10:38, 12 July 2021
  • Proth prime 5 41738
    {{Proth prime
    123 bytes (13 words) - 10:36, 12 July 2021
  • Proth prime 5 36412
    {{Proth prime
    123 bytes (13 words) - 10:36, 12 July 2021
  • Proth prime 5 31712
    {{Proth prime
    123 bytes (13 words) - 10:35, 12 July 2021
  • Proth prime 2 79309
    {{Proth prime
    114 bytes (12 words) - 13:16, 12 July 2021
  • Proth prime 2 79817
    {{Proth prime
    115 bytes (12 words) - 13:17, 12 July 2021
  • Proth prime 2 152267
    {{Proth prime
    115 bytes (12 words) - 13:18, 12 July 2021
  • Proth prime 2 156511
    {{Proth prime
    115 bytes (12 words) - 13:18, 12 July 2021
  • Proth prime 2 222113
    {{Proth prime
    116 bytes (12 words) - 13:19, 12 July 2021
  • Proth prime 2 225931
    {{Proth prime
    116 bytes (12 words) - 13:19, 12 July 2021
  • Proth prime 2 237019
    {{Proth prime
    116 bytes (12 words) - 13:20, 12 July 2021
  • Proth prime 2 78557
    {{Proth prime
    165 bytes (15 words) - 07:30, 26 July 2021
  • Proth prime 2 271129
    {{Proth prime
    159 bytes (15 words) - 07:33, 26 July 2021
  • Proth prime 2 48495
    {{Proth prime
    877 bytes (71 words) - 00:12, 30 April 2024
  • Proth prime 2 67275
    {{Proth prime
    278 bytes (33 words) - 15:49, 11 July 2021
  • Proth prime 2 15735
    {{Proth prime
    358 bytes (25 words) - 15:43, 11 July 2021
  • Proth prime 2 23971
    {{Proth prime
    1 KB (129 words) - 18:02, 6 April 2023
  • Proth prime 2 45323
    {{Proth prime
    225 bytes (24 words) - 14:34, 7 April 2023
  • Proth prime 2 50777
    {{Proth prime
    871 bytes (98 words) - 12:55, 8 April 2023
  • Proth prime 2 50873
    {{Proth prime
    225 bytes (24 words) - 14:35, 7 April 2023
  • Proth prime 2 76877
    {{Proth prime
    859 bytes (98 words) - 13:02, 8 April 2023
  • Proth prime 3 80
    {{Proth prime
    558 bytes (46 words) - 09:40, 12 July 2021
  • Proth prime 3 34
    {{Proth prime
    642 bytes (53 words) - 09:32, 12 July 2021
  • Proth prime 3 2
    {{Proth prime
    2 KB (204 words) - 11:06, 18 April 2023
  • Proth prime 11 120
    {{Proth prime
    313 bytes (27 words) - 09:51, 12 July 2021
  • Proth prime 5 24
    {{Proth prime
    288 bytes (26 words) - 10:19, 12 July 2021
  • Proth prime 6 35
    {{Proth prime
    391 bytes (32 words) - 10:04, 12 July 2021
  • Proth prime 2 2441205
    {{Proth prime
    1 KB (105 words) - 17:50, 16 August 2022
  • Proth prime 2 1281979
    {{Proth prime
    913 bytes (83 words) - 17:01, 12 January 2024
  • Proth prime 3 38
    {{Proth prime
    402 bytes (38 words) - 09:36, 12 July 2021
  • Proth prime 3 28
    {{Proth prime
    358 bytes (33 words) - 08:59, 12 July 2021
  • Proth prime 3 32
    {{Proth prime
    339 bytes (28 words) - 09:31, 12 July 2021
  • Proth prime 3 40
    {{Proth prime
    489 bytes (38 words) - 08:11, 12 July 2021
  • Proth prime 3 14
    {{Proth prime
    475 bytes (36 words) - 08:35, 12 July 2021
  • Proth prime 3 16
    {{Proth prime
    692 bytes (67 words) - 08:39, 12 July 2021
  • Proth prime 3 20
    {{Proth prime
    370 bytes (26 words) - 08:40, 12 July 2021
  • Proth prime 3 22
    {{Proth prime
    364 bytes (21 words) - 08:41, 12 July 2021
  • Proth prime 3 4
    {{Proth prime
    1 KB (120 words) - 21:11, 1 August 2021
  • Proth prime 3 6
    {{Proth prime
    473 bytes (37 words) - 18:11, 2 August 2021
  • Proth prime 2 1000039
    {{Proth prime
    488 bytes (46 words) - 14:56, 23 September 2021
  • Proth prime 2 3125
    {{Proth prime
    677 bytes (57 words) - 08:55, 18 September 2021
  • Proth prime 5 81556
    {{Proth prime
    320 bytes (36 words) - 08:44, 10 April 2023
  • Proth prime 2 35
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (236 words) - 02:10, 15 May 2024
  • Proth prime 2 121
    {{Proth prime {{HistC|2021-04-08|10000000|PrimeGrid 27121 Prime Search|P#9612#149921}}
    1 KB (120 words) - 01:43, 15 May 2024
  • Proth prime 2 5505
    {{Proth prime {{HistF|2021-08-12|3375777|Randall Scalise,PrimeGrid Proth Mega Prime Search}}
    1 KB (97 words) - 14:27, 9 May 2024
  • Proth prime 2 21
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (275 words) - 04:14, 15 May 2024
  • Proth prime 2 23
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    940 bytes (120 words) - 04:12, 15 May 2024
  • Proth prime 2 25
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (309 words) - 04:07, 15 May 2024
  • Proth prime 2 27
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}, effectively a double-check
    2 KB (321 words) - 03:46, 15 May 2024
  • Proth prime 2 29
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (277 words) - 03:09, 15 May 2024
  • Proth prime 2 14476720225405
    {{Proth prime
    311 bytes (23 words) - 14:06, 9 April 2023
  • Proth prime 2 3207
    {{Proth prime {{HistF|2021-08-07|3375314|Wolfgang Schwieger,PrimeGrid Proth Mega Prime Search}}
    1 KB (91 words) - 14:49, 9 May 2024
  • Proth prime 2 3943
    {{Proth prime {{HistF|2021-08-05|1642638|Randall Scalise,PrimeGrid Proth Prime Search Extended}}
    848 bytes (64 words) - 07:15, 22 September 2021
  • Proth prime 2 4665
    {{Proth prime {{HistF|2021-08-06|1642514|Paweł Dec,PrimeGrid Proth Prime Search Extended}}
    1 KB (90 words) - 14:43, 9 May 2024
  • Proth prime 2 6219
    {{Proth prime {{HistF|2021-08-03|3374198|Daniel Zuyuan Lu,PrimeGrid Proth Mega Prime Search}}
    1 KB (95 words) - 08:37, 11 August 2021
  • Proth prime 2 5307
    {{Proth prime {{HistF|2021-08-03|3374939|Mike McDonald,PrimeGrid Proth Mega Prime Search}}
    1 KB (89 words) - 09:34, 11 August 2021
  • PrimeGrid Proth Prime Search
    ...ional info in the [http://www.primegrid.com/forum_thread.php?id=2665 Proth Prime Search thread]. [[Category:PrimeGrid Proth Prime Search| ]]
    1 KB (139 words) - 23:57, 13 May 2024
  • PrimeGrid Proth Prime Search Extended
    [[Category:PrimeGrid Proth Prime Search Extended| ]]
    490 bytes (61 words) - 11:42, 5 September 2021
  • PrimeGrid Proth Mega Prime Search
    [[Category:PrimeGrid Proth Mega Prime Search| ]]
    862 bytes (109 words) - 09:55, 21 October 2023
  • Proth prime 2 749893
    {{Proth prime
    429 bytes (29 words) - 09:47, 13 August 2021
  • Proth prime 2 9347
    {{Proth prime {{HistF|2021-07-30|3374055|Ian Johns,PrimeGrid Proth Mega Prime Search}}
    392 bytes (30 words) - 14:38, 9 May 2024
  • Proth prime 2 3777
    {{Proth prime {{HistF|2021-07-30|3374072|Seonghwan Kim,PrimeGrid Proth Mega Prime Search}}
    975 bytes (76 words) - 17:45, 13 August 2021
  • Proth prime 2 1461
    {{Proth prime {{HistC|2023-10-21|3322000-3486000|PrimeGrid Proth Mega Prime Search}}
    805 bytes (76 words) - 10:22, 14 May 2024
  • Proth prime 2 6395
    {{Proth prime {{HistF|2021-07-23|3373135|Vadim Bulanov,PrimeGrid Proth Mega Prime Search}}
    769 bytes (66 words) - 14:33, 9 May 2024
  • Proth prime 2 1105
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (140 words) - 09:39, 14 May 2024
  • Proth prime 2 915
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    2 KB (178 words) - 09:31, 14 May 2024
  • Proth prime 2 1139
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    754 bytes (79 words) - 09:40, 14 May 2024
  • Proth prime 2 699
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    2 KB (183 words) - 09:21, 14 May 2024
  • Proth prime 2 759
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (116 words) - 09:25, 14 May 2024
  • Proth prime 2 555
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    4 KB (437 words) - 09:15, 14 May 2024
  • Proth prime 2 875
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    2 KB (180 words) - 09:30, 14 May 2024
  • Proth prime 2 389
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (109 words) - 09:09, 14 May 2024
  • Proth prime 2 615
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    2 KB (222 words) - 09:16, 14 May 2024
  • Proth prime 2 1065
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    3 KB (274 words) - 09:38, 14 May 2024
  • Proth prime 2 289
    {{Proth prime ...rks=All primes are also [[Generalized Fermat number#Special conditions for Proth primes|Generalized Fermat primes]].
    1 KB (153 words) - 09:56, 14 May 2024
  • Proth prime 2 4119
    {{Proth prime {{HistF|2012-12-29|443235|Ronny Willig,PrimeGrid Proth Prime Search Extended}}
    513 bytes (48 words) - 13:24, 8 September 2021
  • Proth prime 2 261
    {{Proth prime {{HistF|2023-05-29|4106385|Stefan Larsson,PrimeGrid Proth Prime Search}}
    3 KB (321 words) - 10:00, 14 May 2024
  • Proth prime 2 417
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    3 KB (294 words) - 09:10, 14 May 2024
  • Proth prime 2 355
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    885 bytes (85 words) - 09:07, 14 May 2024
  • Proth prime 2 345
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    4 KB (381 words) - 09:07, 14 May 2024
  • Proth prime 2 643
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    1 KB (106 words) - 09:20, 14 May 2024
  • Proth prime 2 869
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1,006 bytes (96 words) - 09:30, 14 May 2024
  • Proth prime 2 373
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (122 words) - 09:08, 14 May 2024
  • Proth prime 2 311
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (113 words) - 09:04, 14 May 2024
  • Proth prime 2 1045
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (127 words) - 09:37, 14 May 2024
  • Proth prime 2 639
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    3 KB (241 words) - 09:18, 14 May 2024
  • Proth prime 2 435
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    4 KB (363 words) - 09:11, 14 May 2024
  • Proth prime 2 791
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (114 words) - 09:28, 14 May 2024
  • Proth prime 2 453
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    2 KB (194 words) - 09:12, 14 May 2024
  • Proth prime 2 1165
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    860 bytes (83 words) - 09:43, 14 May 2024
  • Proth prime 2 37
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (259 words) - 02:40, 15 May 2024
  • Proth prime 2 39
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    4 KB (518 words) - 02:03, 15 May 2024
  • Proth prime 2 677
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    752 bytes (77 words) - 09:21, 14 May 2024
  • Proth prime 2 629
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    2 KB (211 words) - 09:17, 14 May 2024
  • Proth prime 2 553
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    3 KB (280 words) - 09:14, 14 May 2024
  • Proth prime 2 499
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    1 KB (106 words) - 09:12, 14 May 2024
  • Proth prime 2 403
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    2 KB (221 words) - 09:09, 14 May 2024
  • Proth prime 2 177
    {{Proth prime {{HistF|2023-07-02|4162494|John Hall, PrimeGrid Proth Prime Search}}
    2 KB (262 words) - 00:46, 15 May 2024
  • Proth prime 2 765
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    3 KB (262 words) - 09:26, 14 May 2024
  • Proth prime 2 973
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    2 KB (174 words) - 09:36, 14 May 2024
  • Proth prime 2 319
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    737 bytes (78 words) - 09:05, 14 May 2024
  • Proth prime 2 745
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (101 words) - 09:24, 14 May 2024
  • Proth prime 2 1149
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (146 words) - 09:42, 14 May 2024
  • Proth prime 2 297
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (120 words) - 09:55, 14 May 2024
  • Proth prime 2 789
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    2 KB (162 words) - 09:27, 14 May 2024
  • Proth prime 2 41
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    1,017 bytes (121 words) - 02:00, 15 May 2024
  • Proth prime 2 43
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (188 words) - 01:57, 15 May 2024
  • Proth prime 2 45
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    3 KB (389 words) - 01:56, 15 May 2024
  • Proth prime 2 47
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    340 bytes (38 words) - 01:54, 15 May 2024
  • Proth prime 2 49
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    1 KB (152 words) - 01:53, 15 May 2024
  • Proth prime 2 1601
    {{Proth prime {{HistC|2023-10-21|3322000-3486000|PrimeGrid Proth Mega Prime Search}}
    613 bytes (52 words) - 10:24, 14 May 2024
  • Proth prime 2 933
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    3 KB (251 words) - 09:35, 14 May 2024
  • Proth prime 2 259
    {{Proth prime {{HistF|2023-12-02|4395550|Raphaël Gervais Lavoie,PrimeGrid Proth Prime Search}}
    602 bytes (66 words) - 10:04, 14 May 2024
  • Proth prime 2 4052555153018976267
    {{Proth prime |PRemarks=[[Pierpont prime]] {{Kbn|+|3^39|2|n}}
    490 bytes (32 words) - 05:33, 11 October 2021
  • Proth prime 2 207
    {{Proth prime {{HistF|2021-09-26|3095391|Stefan Larsson,PrimeGrid Proth Prime Search}}
    2 KB (222 words) - 00:39, 15 May 2024
  • Proth prime 2 202705
    {{Proth prime
    386 bytes (41 words) - 08:42, 13 January 2022
  • Proth prime 2 77777
    {{Proth prime
    487 bytes (48 words) - 15:12, 30 April 2024
  • Proth prime 2 23873
    {{Proth prime
    403 bytes (44 words) - 19:12, 5 April 2023
  • Proth prime 6 5
    {{Proth prime
    1 KB (126 words) - 18:51, 27 October 2023
  • Proth prime 5 4
    {{Proth prime
    718 bytes (75 words) - 07:17, 14 February 2023
  • Proth prime 2 35461
    {{Proth prime
    342 bytes (37 words) - 19:21, 5 April 2023
  • Proth prime 2 39527
    {{Proth prime
    465 bytes (51 words) - 19:24, 5 April 2023
  • Proth prime 2 44243
    {{Proth prime
    701 bytes (80 words) - 19:38, 5 April 2023
  • Proth prime 2 77297
    {{Proth prime
    281 bytes (30 words) - 13:32, 7 April 2023
  • Proth prime 2 68221
    {{Proth prime
    656 bytes (72 words) - 13:37, 7 April 2023
  • Proth prime 2 54953
    {{Proth prime
    831 bytes (93 words) - 13:46, 7 April 2023
  • Proth prime 2 57377
    {{Proth prime
    711 bytes (78 words) - 14:21, 7 April 2023
  • Proth prime 2 71657
    {{Proth prime
    1 KB (122 words) - 12:38, 8 April 2023
  • Proth prime 2 577294575
    {{Proth prime
    3 KB (312 words) - 00:17, 30 April 2024
  • Proth prime 2 945561887392230553579269135
    {{Proth prime
    1 KB (75 words) - 11:17, 22 April 2024
  • Proth prime 999 998
    {{Proth prime
    402 bytes (42 words) - 08:33, 10 July 2023
  • Proth prime 2 10001
    {{Proth prime
    519 bytes (41 words) - 17:59, 22 September 2023
  • Proth prime 2 10003
    {{Proth prime
    618 bytes (46 words) - 23:35, 22 September 2023
  • Proth prime 2 314159265
    {{Proth prime
    515 bytes (26 words) - 19:18, 14 March 2024
  • Proth prime 2 165
    {{Proth prime {{HistF|2023-11-23|4379097|Dawid Kwiatkowski,PrimeGrid Proth Prime Search}}
    4 KB (446 words) - 00:50, 15 May 2024
  • Proth prime 2 2379
    {{Proth prime
    326 bytes (16 words) - 15:46, 9 May 2024
  • Proth prime 2 93
    {{Proth prime
    824 bytes (47 words) - 15:04, 13 May 2024
  • Proth prime 2 2943
    {{Proth prime
    280 bytes (18 words) - 10:29, 13 May 2024

Page text matches

  • Fermat number
    ...ese factorisations can be found at [http://www.prothsearch.com/fermat.html Prime Factors of Fermat Numbers] ...</sup> + 1 &equiv; 0 (mod 2<sup>{{V|a}}</sup> + 1).) In other words, every prime of the form {{Kbn|+|n}} is a Fermat number, and such primes are called '''F
    12 KB (1,913 words) - 14:35, 9 August 2021
  • Proth prime 2 1089927
    {{Proth prime
    432 bytes (32 words) - 13:38, 2 January 2023
  • Proth prime 2 12321
    {{Proth prime
    498 bytes (31 words) - 13:34, 2 January 2023
  • Proth prime 2 1943873
    {{Proth prime
    334 bytes (32 words) - 15:12, 27 January 2023
  • Sierpiński problem
    ...e covered, meaning that no member of the sequence {{Kbn|+|78557|n}} can be prime. The same arguments can be said of the numbers 271129, 271577, 322523, 3277 ...oices of {{Vk}}. However, sometimes {{Vn}} has to grow very large before a prime number appears.
    5 KB (650 words) - 10:25, 26 March 2024
  • Paul Seelhoff
    :28 [[Proth prime]]s for 3 &le; {{Vk}} &le; 97 :Found factor [[Proth prime 2 5|{{Kbn|+|5|2|39}}]] of {{DGF|36}}
    2 KB (195 words) - 00:13, 15 January 2024
  • Riesel number
    ...Sierpiński problem]] article, [[Hans Riesel]] found in 1956 that [[Riesel prime 2 509203|{{Kbn|509203|n}}]] is always composite. *[[Riesel and Proth Prime Database]]
    827 bytes (112 words) - 08:21, 25 March 2024
  • Riesel and Proth Prime Database
    ...oth prime]]s and some others subjects like [[Aliquot sequence]]s or [[Home prime]]s. *[https://www.rieselprime.de/default.htm Riesel and Proth Prime Database main page]
    380 bytes (59 words) - 14:14, 24 January 2019
  • Primality test
    .... When the number is declared composite, the algorithm does not reveal the prime [[factor]]s. That is the job of the [[Factorization|factorization methods]] ...the confidence grows, but we cannot be completely sure that the number is prime until a primality test (which is far slower than a probable primality test
    3 KB (501 words) - 05:20, 3 August 2021
  • Primality testing program
    ...ne number]]s<br/>a &times; b<sup>n</sup>±c (only factoring and [[probable prime|PRP]]-testing) | [https://github.com/danaj/Math-Prime-Util-GMP]
    2 KB (314 words) - 21:23, 29 August 2019
  • 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
  • LLR
    **[[Proth's theorem|Proth algorithm]] for {{Kbn|+|k|n}} numbers. ...ith |{{V|c}}| ≠ 1 or {{V|k}} > {{Vb}}<sup>{{Vn}}</sup> can be [[probable prime|PRP]]-tested.
    2 KB (300 words) - 22:00, 16 December 2023
  • PSearch
    ...g project|distributed computing project]] in search of the largest [[Proth prime]]s. | New prime
    1 KB (182 words) - 08:17, 12 July 2020
  • Generalized Fermat number
    ...2^{2p^n}+2^{p^n}+1 \ = \ (2^{p^{n+1}}-1)/(2^{p^n}-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 equa #If number <math>\sum_{i=0}^{p-1}\ (2^i)^{m} \ </math> is prime, then <math>m=p^n</math>.
    5 KB (726 words) - 09:57, 12 September 2021
  • PrimeGrid
    '''PrimeGrid''' is a [[distributed computing]] project for searching for [[prime]] numbers of world-record size. It makes use of the [[BOINC|Berkeley Open I *Type Proth:
    3 KB (458 words) - 10:28, 26 March 2024
  • Proth prime 2 28831
    {{Proth prime
    581 bytes (64 words) - 19:18, 5 April 2023
  • Sieving program
    ...ng [[twin prime]]s of the same form) http://sites.google.com/site/kenscode/prime-programs *[[FermFact]] (performing sieving of Proth numbers) http://www.fermatsearch.org/FermFact-09b.zip
    2 KB (220 words) - 11:42, 7 March 2019
  • Proth's theorem
    This article is about '''Proth's theorem'''. Proth's theorem (1878) states:
    549 bytes (88 words) - 18:15, 28 September 2023
  • Proth prime
    ...in the form {{Kbn|+|k|n}} with 2<sup>''n''</sup> > ''k'' are often called Proth primes. *[[Proth's theorem]]
    656 bytes (91 words) - 07:02, 31 August 2020
  • Riesel prime
    Although there's no official definition of a '''Riesel prime''' mostly all primes of the form {{Kbn|k|n}} with 2<sup>{{Vn}}</sup> > {{Vk *IDs and found dates from the [[The Prime Pages]]
    2 KB (279 words) - 03:48, 24 April 2024
  • Proth number
    In [[number theory]], a '''Proth number''' is a number of the form ...that 2<sup>{{Vn}}</sup> > {{Vk}}, all odd integers greater than 1 would be Proth numbers, but most pages lists them, too.
    670 bytes (104 words) - 10:59, 9 July 2021
  • Gerbicz error checking
    ...e validity of [[Proth prime|Proth]] tests and PRP tests on base-2 [[Riesel prime]] candidates, and by those programs and [[PRST]] in an extended version for ...the original formulation of the Gerbicz error check for [[Proth's theorem|Proth tests]], as described in [https://www.mersenneforum.org/showthread.php?t=22
    3 KB (528 words) - 14:59, 3 October 2023
  • 15k Search
    The first goal is, to spend as little CPU time as possible, per [[titanic prime]] found. The second goal is, to find a [[prime]] in a secure manner, worthy of an [[EFF prizes|E.F.F. prize]].
    3 KB (517 words) - 14:51, 15 February 2019
  • Williams prime MP 2
    {{Williams prime |WiMaxn={{GP|Proth prime 2 1|PMaxn}}
    243 bytes (35 words) - 08:06, 1 August 2021
  • Williams prime PP 2
    {{Williams prime |WiMaxn={{GP|Proth prime 2 3|PMaxn}}
    259 bytes (36 words) - 10:52, 13 July 2021
  • Proth prime 2 1
    {{Proth prime
    212 bytes (30 words) - 15:35, 2 October 2022
  • Proth prime 2 3
    {{Proth prime {{HistF|2020-10-25|16408818|James Scott Brown,PrimeGrid 321 Prime Search|561613}} ([https://www.primegrid.com/download/321-16408818.pdf Offic
    3 KB (336 words) - 16:58, 15 April 2024
  • Proth prime 2 5
    {{Proth prime
    1 KB (144 words) - 11:12, 24 August 2021
  • Proth prime 2 7
    {{Proth prime {{HistF|2012-11-10|5775996|Martyn Elvy,PrimeGrid Proth Prime Search}} ([http://www.primegrid.com/download/PPS-5775996.pdf Official annou
    2 KB (267 words) - 21:47, 5 July 2023
  • Proth prime table
    Automatically generated table from available [[:Category:Proth prime|Proth primes]]. category=Category:Proth 2
    750 bytes (108 words) - 14:39, 12 July 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 11
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (248 words) - 08:42, 15 May 2024
  • Proth prime 2 13
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (197 words) - 08:36, 15 May 2024
  • Proth prime 2 15
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    3 KB (412 words) - 08:00, 15 May 2024
  • Proth prime 2 17
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    1 KB (149 words) - 04:18, 15 May 2024
  • Proth prime 2 19
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    1 KB (153 words) - 04:17, 15 May 2024
  • Proth prime 2 1527888802614951
    {{Proth prime
    371 bytes (31 words) - 08:06, 18 September 2021
  • Proth prime 2 301
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (129 words) - 09:06, 14 May 2024
  • Williams prime MP 4
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 2 3|PMaxn|2}}
    258 bytes (36 words) - 08:07, 1 August 2021
  • Williams prime MP 5
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 5 4|PMaxn|1}}
    260 bytes (36 words) - 08:29, 11 February 2023
  • Williams prime MP 6
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 6 5|PMaxn|1}}
    260 bytes (36 words) - 16:08, 10 February 2023
  • Williams prime MP 8
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 2 7|PMaxn|3}}
    284 bytes (41 words) - 08:16, 1 August 2021
  • Williams prime MP 9
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 3 8|PMaxn}}/2)}}
    387 bytes (53 words) - 08:30, 12 July 2021
  • Williams prime MP 16
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 15|PMaxn}}/4)}}
    267 bytes (37 words) - 08:22, 1 August 2021
  • Williams prime MP 25
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 5 24|PMaxn|2}}
    358 bytes (45 words) - 08:28, 1 August 2021
  • Williams prime MP 27
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 3 26|PMaxn}}/3)}}
    443 bytes (56 words) - 08:44, 12 July 2021
  • Proth prime 2 31
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    913 bytes (102 words) - 03:04, 15 May 2024
  • Williams prime MP 32
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 2 31|PMaxn|5}}
    263 bytes (36 words) - 08:31, 1 August 2021
  • Proth prime 2 511
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    470 bytes (49 words) - 09:13, 14 May 2024
  • Williams prime MP 512
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 511|PMaxn}}/9)}}
    272 bytes (37 words) - 09:15, 1 August 2021
  • Williams prime PP 3
    {{Williams prime |WiMaxn={{GP|Proth prime 3 4|PMaxn}}
    293 bytes (41 words) - 11:57, 13 July 2021
  • Williams prime PP 8
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 9|PMaxn}}/3)}}
    278 bytes (38 words) - 11:59, 13 July 2021
  • Williams prime PP 9
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 3 10|PMaxn}}/2)}}
    268 bytes (37 words) - 08:34, 12 July 2021
  • Proth prime 2 33
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (210 words) - 02:44, 15 May 2024
  • Williams prime PP 32
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 33|PMaxn}}/5)}}
    377 bytes (47 words) - 11:53, 13 July 2021
  • Proth prime small bases least n
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|b|n}}, least ''n''-values}} Here are shown the least ''n'' ≥ 1 generating a [[Proth prime]] of the form {{Kbn|+|k|b|n}} for 2 ≤ ''b'' ≤ 1030 and 2 ≤ ''k'' ≤
    7 KB (795 words) - 08:03, 5 May 2024
  • Williams prime MP 36
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 6 35|PMaxn|2}}
    356 bytes (45 words) - 08:33, 1 August 2021
  • Williams prime MP 49
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 7 48|PMaxn|2}}
    356 bytes (45 words) - 08:40, 1 August 2021
  • Proth prime 2 63
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    3 KB (299 words) - 01:29, 15 May 2024
  • Williams prime MP 64
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 63|PMaxn}}/6)}}
    267 bytes (37 words) - 08:43, 1 August 2021
  • Proth.exe
    |title=Proth '''Proth.exe''' is an ancient program that implements [[Proth's theorem]]. It is used to test the primality of the following forms:
    667 bytes (101 words) - 16:44, 31 August 2021
  • 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
  • Williams prime MP 128
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 127|PMaxn}}/7)}}
    272 bytes (37 words) - 08:49, 1 August 2021
  • 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
  • Williams prime MP 256
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 255|PMaxn}}/8)}}
    272 bytes (37 words) - 08:51, 1 August 2021
  • Proth prime 2 1023
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    3 KB (315 words) - 09:37, 14 May 2024
  • Williams prime MP 1024
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 1023|PMaxn}}/10)}}
    279 bytes (37 words) - 09:20, 1 August 2021
  • Proth prime 2 129
    {{Proth prime {{HistF|2022-03-24|3218214|Florian Baur,PrimeGrid Proth Prime Search}}
    2 KB (194 words) - 00:52, 15 May 2024
  • Williams prime PP 128
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 129|PMaxn}}/7)}}
    290 bytes (38 words) - 12:03, 13 July 2021
  • Proth prime 2 513
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    2 KB (186 words) - 04:31, 14 May 2024
  • Williams prime PP 512
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 2 513|PMaxn}}/9)}}
    272 bytes (37 words) - 12:05, 13 July 2021
  • Proth prime 2 801
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (116 words) - 09:29, 14 May 2024
  • Proth prime 2 30562993973479965532402725
    {{Proth prime
    1 KB (19 words) - 16:07, 11 July 2021
  • Proth prime 2 32268186233370440249391495
    {{Proth prime
    1 KB (19 words) - 16:09, 11 July 2021
  • Proth prime 3 26
    {{Proth prime
    1 KB (124 words) - 08:43, 12 July 2021
  • Proth prime 3 8
    {{Proth prime
    631 bytes (65 words) - 08:21, 12 July 2021
  • Proth prime 2 19683
    {{Proth prime
    681 bytes (56 words) - 15:43, 11 July 2021
  • Proth prime 5 6436
    {{Proth prime
    122 bytes (13 words) - 10:23, 12 July 2021
  • Proth prime 2 10223
    {{Proth prime
    561 bytes (72 words) - 17:14, 13 August 2021
  • Proth prime 2 68633
    {{Proth prime
    545 bytes (60 words) - 14:28, 7 April 2023
  • Proth prime 2 22249
    {{Proth prime
    694 bytes (77 words) - 15:44, 11 July 2021
  • Proth prime 2 12743
    {{Proth prime
    318 bytes (34 words) - 15:42, 11 July 2021
  • PrimeGrid Sierpiński base 5
    |include={Proth prime}:Pk,{Proth prime}:Pk |secseparators=[[Proth prime 5 ,|,,]]
    2 KB (245 words) - 11:43, 5 September 2021
  • Proth prime 2 21181
    {{Proth prime
    115 bytes (12 words) - 13:33, 12 July 2021
  • Proth prime 2 22699
    {{Proth prime
    114 bytes (12 words) - 13:22, 12 July 2021
  • Proth prime 2 84966861
    {{Proth prime
    398 bytes (29 words) - 15:58, 11 July 2021
  • Proth prime 2 9267
    {{Proth prime ...y part of [[Multi Reservation:25|Multi Reservation 25]]: [[PrimeGrid Proth Prime Search Extended]].
    1 KB (161 words) - 09:08, 10 May 2024
  • Proth prime 2 32247
    {{Proth prime
    608 bytes (65 words) - 07:12, 3 February 2024
  • Liskovets-Gallot conjectures
    ...ding primes of the required parity for all smaller {{Vk}}-values. The even Proth conjecture was proven in 2015, and CRUS is continuing the [[CRUS Liskovets- got an irregular contribution of odd and even exponents yielding a prime.
    2 KB (367 words) - 12:42, 9 May 2024
  • CRUS Liskovets-Gallot
    ...]], which relate to the smallest [[Riesel prime|Riesel]] and [[Proth prime|Proth]] {{Vk}}-values, divisible by 3, with no primes for {{Vn}}-values of a give ...roven by [[Yves Gallot]], who provided examples for all four cases (Riesel/Proth, even/odd). Gallot further conjectured that these four examples are the sma
    7 KB (957 words) - 22:40, 10 June 2023
  • Proth prime 2 53133
    {{Proth prime
    555 bytes (60 words) - 07:11, 3 February 2024
  • Proth prime 2 66741
    {{Proth prime ...to be the smallest odd {{Vk}} ≡ 0 mod 3 for which {{Kbn|+|k|n}} is never prime for an even {{Vn}}. See [[Liskovets-Gallot conjectures]].
    396 bytes (50 words) - 09:17, 10 May 2024
  • Proth prime 2 95283
    {{Proth prime ...lue seems the smallest {{Vk}} ≡ 0 mod 3 for which {{Kbn|+|k|n}} is never prime for an odd {{Vn}}. See [[Liskovets-Gallot conjectures]].
    457 bytes (43 words) - 15:52, 11 July 2021
  • Proth prime 7 48
    {{Proth prime
    403 bytes (36 words) - 09:59, 12 July 2021
  • Proth prime 7 4
    {{Proth prime
    459 bytes (40 words) - 09:57, 12 July 2021
  • Proth prime 5 2
    {{Proth prime
    582 bytes (53 words) - 10:16, 12 July 2021
  • Proth prime 2 2003663613
    {{Proth prime
    561 bytes (36 words) - 08:44, 23 July 2021
  • Proth prime 3 10
    {{Proth prime
    657 bytes (66 words) - 08:33, 12 July 2021
  • Proth prime 2 24737
    {{Proth prime
    115 bytes (12 words) - 13:33, 12 July 2021
  • Proth prime 2 55459
    {{Proth prime
    115 bytes (12 words) - 13:34, 12 July 2021
  • Proth prime 2 67607
    {{Proth prime
    114 bytes (12 words) - 13:23, 12 July 2021
  • PrimeGrid Seventeen or Bust
    To solve the [[Sierpiński problem]] by finding a prime of the form {{Kbn|+|k|n}} for each remaining value of {{Vk}} < 78,557. |include={Proth prime}:Pk,{Proth prime}:Pk
    1 KB (135 words) - 11:42, 5 September 2021
  • Proth prime 5 118568
    {{Proth prime
    314 bytes (35 words) - 08:43, 10 April 2023
  • Proth prime 5 138514
    {{Proth prime
    310 bytes (35 words) - 08:44, 10 April 2023
  • Proth prime 5 7528
    {{Proth prime
    122 bytes (13 words) - 10:27, 12 July 2021
  • Proth prime 5 10918
    {{Proth prime
    123 bytes (13 words) - 10:28, 12 July 2021
  • Proth prime 5 26798
    {{Proth prime
    123 bytes (13 words) - 10:32, 12 July 2021
  • PrimeGrid Prime Sierpiński Problem
    ...a continuation of the [https://www.mersenneforum.org/showthread.php?t=2665 Prime Sierpinski Project] that operated on the Mersenne Forums. ...= 78557 is the smallest Sierpiński number. However, 78557 itself is not a prime number.
    2 KB (254 words) - 11:43, 5 September 2021
  • Proth prime 2 168451
    {{Proth prime {{HistF|2017-09-17|19375200|Ben Maloney,PrimeGrid Prime Sierpiński Problem}}
    225 bytes (24 words) - 15:53, 11 July 2021
  • Proth prime 5 29914
    {{Proth prime
    123 bytes (13 words) - 10:33, 12 July 2021
  • Proth prime 5 152588
    {{Proth prime
    124 bytes (13 words) - 11:12, 12 July 2021
  • Proth prime 5 139196
    {{Proth prime
    124 bytes (13 words) - 11:12, 12 July 2021
  • Proth prime 5 126134
    {{Proth prime
    124 bytes (13 words) - 11:08, 12 July 2021
  • Proth prime 5 105464
    {{Proth prime
    124 bytes (13 words) - 11:06, 12 July 2021
  • Proth prime 5 93484
    {{Proth prime
    123 bytes (13 words) - 11:05, 12 July 2021
  • Proth prime 5 92906
    {{Proth prime
    123 bytes (13 words) - 11:04, 12 July 2021
  • Proth prime 5 90056
    {{Proth prime
    123 bytes (13 words) - 11:04, 12 July 2021
  • Proth prime 5 84284
    {{Proth prime
    123 bytes (13 words) - 11:03, 12 July 2021
  • Proth prime 5 83936
    {{Proth prime
    123 bytes (13 words) - 11:01, 12 July 2021
  • Proth prime 5 76724
    {{Proth prime
    123 bytes (13 words) - 10:57, 12 July 2021
  • Proth prime 5 74632
    {{Proth prime
    123 bytes (13 words) - 10:56, 12 July 2021
  • Proth prime 5 71492
    {{Proth prime
    123 bytes (13 words) - 10:56, 12 July 2021
  • Proth prime 5 67748
    {{Proth prime
    123 bytes (13 words) - 10:55, 12 July 2021
  • Proth prime 5 67612
    {{Proth prime
    123 bytes (13 words) - 10:54, 12 July 2021
  • Proth prime 5 64258
    {{Proth prime
    123 bytes (13 words) - 10:54, 12 July 2021
  • Proth prime 5 62698
    {{Proth prime
    123 bytes (13 words) - 10:46, 12 July 2021
  • Proth prime 5 60394
    {{Proth prime
    123 bytes (13 words) - 10:44, 12 July 2021
  • Proth prime 5 58642
    {{Proth prime
    123 bytes (13 words) - 10:42, 12 July 2021
  • Proth prime 5 51208
    {{Proth prime
    123 bytes (13 words) - 10:41, 12 July 2021
  • Proth prime 5 45748
    {{Proth prime
    123 bytes (13 words) - 10:40, 12 July 2021
  • Proth prime 5 44738
    {{Proth prime
    123 bytes (13 words) - 10:39, 12 July 2021
  • Proth prime 5 44348
    {{Proth prime
    123 bytes (13 words) - 10:38, 12 July 2021
  • Proth prime 5 41738
    {{Proth prime
    123 bytes (13 words) - 10:36, 12 July 2021
  • Proth prime 5 36412
    {{Proth prime
    123 bytes (13 words) - 10:36, 12 July 2021
  • Proth prime 5 31712
    {{Proth prime
    123 bytes (13 words) - 10:35, 12 July 2021
  • PrimeGrid Cullen Prime Search
    The goal of this project is to find [[Cullen prime 2|Cullen prime]]s of the form {{Kbn|+|n|2|n}}. *2009-07-25: [[Proth prime 6679881|{{Kbn|+|6679881|2|6679881}}]] ([http://primes.utm.edu/primes/page.p
    753 bytes (97 words) - 08:45, 12 September 2021
  • Proth prime 2 79309
    {{Proth prime
    114 bytes (12 words) - 13:16, 12 July 2021
  • Proth prime 2 79817
    {{Proth prime
    115 bytes (12 words) - 13:17, 12 July 2021
  • Proth prime 2 152267
    {{Proth prime
    115 bytes (12 words) - 13:18, 12 July 2021
  • Proth prime 2 156511
    {{Proth prime
    115 bytes (12 words) - 13:18, 12 July 2021
  • Proth prime 2 222113
    {{Proth prime
    116 bytes (12 words) - 13:19, 12 July 2021
  • Proth prime 2 225931
    {{Proth prime
    116 bytes (12 words) - 13:19, 12 July 2021
  • Proth prime 2 237019
    {{Proth prime
    116 bytes (12 words) - 13:20, 12 July 2021
  • Proth prime 2 78557
    {{Proth prime
    165 bytes (15 words) - 07:30, 26 July 2021
  • Proth prime 2 271129
    {{Proth prime
    159 bytes (15 words) - 07:33, 26 July 2021
  • Proth prime 2 48495
    {{Proth prime
    877 bytes (71 words) - 00:12, 30 April 2024
  • Proth prime 2 67275
    {{Proth prime
    278 bytes (33 words) - 15:49, 11 July 2021
  • Proth 2 3k-value
    {{DISPLAYTITLE:Proth numbers of the form {{Kbn|+|k|n}} with {{Vk}} mod 3 = 0}} Proth numbers {{Kbn|+|k|n}} where {{Vk}}-value is a multiple of 3.
    1 KB (156 words) - 09:18, 23 July 2021
  • ToDo
    ...e:DGF|Template:DGF]]: displays only 19 entries, error if more, see [[Proth prime 3]] *expand more prime templates like Riesel prime template
    790 bytes (110 words) - 09:54, 9 October 2020
  • Proth prime 2 15735
    {{Proth prime
    358 bytes (25 words) - 15:43, 11 July 2021
  • Proth prime 2 23971
    {{Proth prime
    1 KB (129 words) - 18:02, 6 April 2023
  • Proth prime 2 45323
    {{Proth prime
    225 bytes (24 words) - 14:34, 7 April 2023
  • Proth prime 2 50777
    {{Proth prime
    871 bytes (98 words) - 12:55, 8 April 2023
  • Proth prime 2 50873
    {{Proth prime
    225 bytes (24 words) - 14:35, 7 April 2023
  • Proth prime 2 76877
    {{Proth prime
    859 bytes (98 words) - 13:02, 8 April 2023
  • Proth prime 3 80
    {{Proth prime
    558 bytes (46 words) - 09:40, 12 July 2021
  • Williams prime MP 81
    {{Williams prime |WiMaxn={{#expr:floor({{GP|Proth prime 3 80|PMaxn}}/4)}}
    331 bytes (42 words) - 09:41, 12 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 34
    {{Proth prime
    642 bytes (53 words) - 09:32, 12 July 2021
  • Proth prime 3 2
    {{Proth prime
    2 KB (204 words) - 11:06, 18 April 2023
  • Williams prime MP 121
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 11 120|PMaxn|2}}
    272 bytes (36 words) - 08:47, 1 August 2021
  • Proth prime 11 120
    {{Proth prime
    313 bytes (27 words) - 09:51, 12 July 2021
  • Proth prime 5 24
    {{Proth prime
    288 bytes (26 words) - 10:19, 12 July 2021
  • Proth prime 6 35
    {{Proth prime
    391 bytes (32 words) - 10:04, 12 July 2021
  • Proth prime 2 2441205
    {{Proth prime
    1 KB (105 words) - 17:50, 16 August 2022
  • Proth prime 2 1281979
    {{Proth prime
    913 bytes (83 words) - 17:01, 12 January 2024
  • Proth prime 3 38
    {{Proth prime
    402 bytes (38 words) - 09:36, 12 July 2021
  • Proth prime 3 28
    {{Proth prime
    358 bytes (33 words) - 08:59, 12 July 2021
  • Proth prime 3 32
    {{Proth prime
    339 bytes (28 words) - 09:31, 12 July 2021
  • Proth prime 3 40
    {{Proth prime
    489 bytes (38 words) - 08:11, 12 July 2021
  • Proth prime 3 14
    {{Proth prime
    475 bytes (36 words) - 08:35, 12 July 2021
  • Proth prime 3 16
    {{Proth prime
    692 bytes (67 words) - 08:39, 12 July 2021
  • Proth prime 3 20
    {{Proth prime
    370 bytes (26 words) - 08:40, 12 July 2021
  • Proth prime 3 22
    {{Proth prime
    364 bytes (21 words) - 08:41, 12 July 2021
  • Proth prime 3 4
    {{Proth prime
    1 KB (120 words) - 21:11, 1 August 2021
  • Proth prime 3 6
    {{Proth prime
    473 bytes (37 words) - 18:11, 2 August 2021
  • Florian Baur
    ...working on primes of the form {{NPr|1281979|n}}: {{Vn}} < {{Num|{{GP|Proth prime 2 1281979|PMaxn}}}} completed.
    271 bytes (34 words) - 15:09, 22 December 2023
  • Proth prime 2 1000039
    {{Proth prime
    488 bytes (46 words) - 14:56, 23 September 2021
  • Proth prime 2 3125
    {{Proth prime
    677 bytes (57 words) - 08:55, 18 September 2021
  • Proth prime 5 81556
    {{Proth prime
    320 bytes (36 words) - 08:44, 10 April 2023
  • Proth prime 2 35
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (236 words) - 02:10, 15 May 2024
  • Proth prime 2 121
    {{Proth prime {{HistC|2021-04-08|10000000|PrimeGrid 27121 Prime Search|P#9612#149921}}
    1 KB (120 words) - 01:43, 15 May 2024
  • Proth prime 2 5505
    {{Proth prime {{HistF|2021-08-12|3375777|Randall Scalise,PrimeGrid Proth Mega Prime Search}}
    1 KB (97 words) - 14:27, 9 May 2024
  • Proth 2 15k-value
    {{DISPLAYTITLE:Proth numbers of the form {{Kbn|+|k|n}} with {{Vk}} mod 15 = 0}} Proth numbers {{Kbn|+|k|n}} where {{Vk}}-value is a multiple of 15.
    1 KB (156 words) - 09:22, 23 July 2021
  • Proth 2 2145k-value
    {{DISPLAYTITLE:Proth numbers of the form {{Kbn|+|k|n}} with {{Vk}} mod 2145 = 0}} Proth numbers {{Kbn|+|k|n}} where {{Vk}}-value is a multiple of 2145.
    1 KB (156 words) - 09:36, 23 July 2021
  • Proth 2 2805k-value
    {{DISPLAYTITLE:Proth numbers of the form {{Kbn|+|k|n}} with {{Vk}} mod 2805 = 0}} Proth numbers {{Kbn|+|k|n}} where {{Vk}}-value is a multiple of 2805.
    1 KB (158 words) - 09:16, 22 March 2024
  • Proth 2 1-300
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, {{Vk}} < 300}} Automatically generated table from available [[:Category:Proth 2 1-300|Proth primes {{Vk}} < 300]].
    850 bytes (117 words) - 17:18, 25 July 2021
  • Proth prime 2 21
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (275 words) - 04:14, 15 May 2024
  • Proth 2 Sierpinski
    category=Proth 2 Sierpinski include={Proth prime}:Pk,{Proth prime}:PRemarks
    741 bytes (99 words) - 21:18, 17 December 2023
  • Proth 2 Count-0
    {{DISPLAYTITLE:Proth numbers of the form {{Kbn|+|k|n}} with no prime value so far}} Proth numbers {{Kbn|+|k|n}} where no prime values are known.
    867 bytes (117 words) - 07:46, 26 July 2021
  • Proth 2 Count-100
    {{DISPLAYTITLE:Proth numbers of the form {{Kbn|+|k|n}} with 100 and more primes}} Proth numbers {{Kbn|+|k|n}} with 100 or more prime values {{Vn}}.
    916 bytes (122 words) - 07:51, 26 July 2021
  • Proth 2 Missing-range
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}} with missing ranges}} Proth {{Vk}}-values with missing ranges below the largest known prime for that {{Vk}}.
    778 bytes (107 words) - 07:57, 26 July 2021
  • Proth 2 300-2000
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 300 < {{Vk}} < 2000}} Automatically generated table from available [[:Category:Proth 2 300-2000|Proth primes 300 < {{Vk}} < 2000]].
    873 bytes (117 words) - 08:15, 26 July 2021
  • Proth 2 2000-4000
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 2000 < {{Vk}} < 4000}} Automatically generated table from available [[:Category:Proth 2 2000-4000|Proth primes 2000 < {{Vk}} < 4000]].
    878 bytes (117 words) - 08:17, 26 July 2021
  • Proth 2 4000-6000
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 4000 < {{Vk}} < 6000}} Automatically generated table from available [[:Category:Proth 2 4000-6000|Proth primes 4000 < {{Vk}} < 6000]].
    887 bytes (118 words) - 08:18, 26 July 2021
  • Proth 2 6000-8000
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 6000 < {{Vk}} < 8000}} Automatically generated table from available [[:Category:Proth 2 6000-8000|Proth primes 6000 < {{Vk}} < 8000]].
    887 bytes (118 words) - 08:20, 26 July 2021
  • Proth 2 8000-10000
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 8000 < {{Vk}} < 10000}} Automatically generated table from available [[:Category:Proth 2 8000-10000|Proth primes 8000 < {{Vk}} < 10000]].
    883 bytes (117 words) - 08:21, 26 July 2021
  • Proth 2 10e4-10e5
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, {{Num|10000}} &le; {{Vk}} &le; {{Num|1000 Automatically generated table from available [[:Category:Proth 2 10e4-10e5|Proth primes {{Num|10000}} < {{Vk}} < {{Num|100000}}]].
    1 KB (170 words) - 08:26, 26 July 2021
  • Proth 2 10e5-10e6
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 10<sup>5</sup> < {{Vk}} < 10<sup>6</sup>} Automatically generated table from available [[:Category:Proth 2 10e5-10e6|Proth primes 10<sup>5</sup> < {{Vk}} < 10<sup>6</sup>]].
    1 KB (153 words) - 08:29, 26 July 2021
  • Proth 2 10e6-10e7
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 10<sup>6</sup> < {{Vk}} < 10<sup>7</sup>} Automatically generated table from available [[:Category:Proth 2 10e6-10e7|Proth primes 10<sup>6</sup> < {{Vk}} < 10<sup>7</sup>]].
    1 KB (153 words) - 08:33, 26 July 2021
  • Proth 2 10e7-10e8
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 10<sup>7</sup> < {{Vk}} < 10<sup>8</sup>} Automatically generated table from available [[:Category:Proth 2 10e7-10e8|Proth primes 10<sup>7</sup> < {{Vk}} < 10<sup>8</sup>]].
    1 KB (153 words) - 08:34, 26 July 2021
  • Proth 2 10e8-10e9
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|k|n}}, 10<sup>8</sup> < {{Vk}} < 10<sup>9</sup>}} Automatically generated table from available [[:Category:Proth 2 10e8-10e9|Proth primes 10<sup>8</sup> < {{Vk}} < 10<sup>9</sup>]].
    1 KB (153 words) - 08:35, 26 July 2021
  • Proth 2 10e9-10e10
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, 10<sup>9</sup> < {{Vk}} < 10<sup>10</sup> Automatically generated table from available [[:Category:Proth 2 10e9-10e10|Proth primes 10<sup>9</sup> < {{Vk}} < 10<sup>10</sup>]].
    1 KB (153 words) - 08:36, 26 July 2021
  • Proth 2 10e10-infinity
    {{DISPLAYTITLE:Proth primes of the form {{Kbn|+|k|n}}, {{Vk}} > 10<sup>10</sup>}} ...atically generated table from available [[:Category:Proth 2 10e10-infinity|Proth primes {{Vk}} > 10<sup>10</sup>]].
    1 KB (146 words) - 08:38, 26 July 2021
  • Proth prime 2 23
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    940 bytes (120 words) - 04:12, 15 May 2024
  • Proth prime 2 25
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (309 words) - 04:07, 15 May 2024
  • Proth prime 2 27
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}, effectively a double-check
    2 KB (321 words) - 03:46, 15 May 2024
  • Proth prime 2 29
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (277 words) - 03:09, 15 May 2024
  • PrimeGrid 27121 Prime Search
    *[[Riesel prime 2 27]] *[[Proth prime 2 27]]
    879 bytes (102 words) - 00:15, 15 May 2024
  • Proth prime 2 14476720225405
    {{Proth prime
    311 bytes (23 words) - 14:06, 9 April 2023
  • Proth 3
    |category=Proth 3 |titlematch=Proth prime%
    405 bytes (56 words) - 22:02, 1 August 2021
  • Proth 2 Low-weight
    {{DISPLAYTITLE:Proth numbers of the form {{Kbn|+|k|n}} with Nash weight < 1000}} Proth numbers {{Kbn|+|k|n}} where the [[Nash weight]] is smaller than 1000.
    944 bytes (121 words) - 18:22, 5 August 2021
  • Proth prime 2 3207
    {{Proth prime {{HistF|2021-08-07|3375314|Wolfgang Schwieger,PrimeGrid Proth Mega Prime Search}}
    1 KB (91 words) - 14:49, 9 May 2024
  • Proth prime 2 3943
    {{Proth prime {{HistF|2021-08-05|1642638|Randall Scalise,PrimeGrid Proth Prime Search Extended}}
    848 bytes (64 words) - 07:15, 22 September 2021
  • Proth prime 2 4665
    {{Proth prime {{HistF|2021-08-06|1642514|Paweł Dec,PrimeGrid Proth Prime Search Extended}}
    1 KB (90 words) - 14:43, 9 May 2024
  • Proth prime 2 6219
    {{Proth prime {{HistF|2021-08-03|3374198|Daniel Zuyuan Lu,PrimeGrid Proth Mega Prime Search}}
    1 KB (95 words) - 08:37, 11 August 2021
  • Proth prime 2 5307
    {{Proth prime {{HistF|2021-08-03|3374939|Mike McDonald,PrimeGrid Proth Mega Prime Search}}
    1 KB (89 words) - 09:34, 11 August 2021
  • PrimeGrid Proth Prime Search
    ...ional info in the [http://www.primegrid.com/forum_thread.php?id=2665 Proth Prime Search thread]. [[Category:PrimeGrid Proth Prime Search| ]]
    1 KB (139 words) - 23:57, 13 May 2024
  • PrimeGrid Proth Prime Search Extended
    [[Category:PrimeGrid Proth Prime Search Extended| ]]
    490 bytes (61 words) - 11:42, 5 September 2021
  • PrimeGrid Proth Mega Prime Search
    [[Category:PrimeGrid Proth Mega Prime Search| ]]
    862 bytes (109 words) - 09:55, 21 October 2023
  • Proth prime 2 749893
    {{Proth prime
    429 bytes (29 words) - 09:47, 13 August 2021
  • Proth prime 2 9347
    {{Proth prime {{HistF|2021-07-30|3374055|Ian Johns,PrimeGrid Proth Mega Prime Search}}
    392 bytes (30 words) - 14:38, 9 May 2024
  • Proth prime 2 3777
    {{Proth prime {{HistF|2021-07-30|3374072|Seonghwan Kim,PrimeGrid Proth Mega Prime Search}}
    975 bytes (76 words) - 17:45, 13 August 2021
  • Proth prime 2 1461
    {{Proth prime {{HistC|2023-10-21|3322000-3486000|PrimeGrid Proth Mega Prime Search}}
    805 bytes (76 words) - 10:22, 14 May 2024
  • Proth new
    Fill in the <base> and <k> to create a new page for a Proth prime and press "Create".<br> For example <b>"Proth prime 2 99"</b> will create a page for <b>{{Kbn|+|99|2|n}}</b>.<br>
    532 bytes (83 words) - 14:51, 15 August 2021
  • Proth prime 2 6395
    {{Proth prime {{HistF|2021-07-23|3373135|Vadim Bulanov,PrimeGrid Proth Mega Prime Search}}
    769 bytes (66 words) - 14:33, 9 May 2024
  • Proth prime 2 1105
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (140 words) - 09:39, 14 May 2024
  • Proth prime 2 915
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    2 KB (178 words) - 09:31, 14 May 2024
  • Proth prime 2 1139
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    754 bytes (79 words) - 09:40, 14 May 2024
  • Proth prime 2 699
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    2 KB (183 words) - 09:21, 14 May 2024
  • Proth prime 2 759
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (116 words) - 09:25, 14 May 2024
  • Proth prime 2 555
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    4 KB (437 words) - 09:15, 14 May 2024
  • Proth prime 2 875
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    2 KB (180 words) - 09:30, 14 May 2024
  • Proth prime 2 389
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (109 words) - 09:09, 14 May 2024
  • Proth prime 2 615
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    2 KB (222 words) - 09:16, 14 May 2024
  • Fermat divisor
    ...number]] {{V|F<sub>n</sub>}} is of the form {{Kbn|+|k|n+2}} (so a [[Proth prime]]). .../primes.utm.edu/glossary/xpage/FermatDivisor.html Fermat Divisor] at [[The Prime Pages]]
    445 bytes (71 words) - 09:09, 7 September 2021
  • Proth prime 2 1065
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    3 KB (274 words) - 09:38, 14 May 2024
  • Proth prime 2 289
    {{Proth prime ...rks=All primes are also [[Generalized Fermat number#Special conditions for Proth primes|Generalized Fermat primes]].
    1 KB (153 words) - 09:56, 14 May 2024
  • Proth prime 2 4119
    {{Proth prime {{HistF|2012-12-29|443235|Ronny Willig,PrimeGrid Proth Prime Search Extended}}
    513 bytes (48 words) - 13:24, 8 September 2021
  • Proth prime 2 261
    {{Proth prime {{HistF|2023-05-29|4106385|Stefan Larsson,PrimeGrid Proth Prime Search}}
    3 KB (321 words) - 10:00, 14 May 2024
  • Proth prime 2 417
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    3 KB (294 words) - 09:10, 14 May 2024
  • Proth prime 2 355
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    885 bytes (85 words) - 09:07, 14 May 2024
  • Proth prime 2 345
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    4 KB (381 words) - 09:07, 14 May 2024
  • Proth prime 2 643
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    1 KB (106 words) - 09:20, 14 May 2024
  • Proth prime 2 869
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1,006 bytes (96 words) - 09:30, 14 May 2024
  • Proth prime 2 373
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (122 words) - 09:08, 14 May 2024
  • Proth prime 2 311
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (113 words) - 09:04, 14 May 2024
  • Proth prime 2 1045
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (127 words) - 09:37, 14 May 2024
  • Proth prime 2 639
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    3 KB (241 words) - 09:18, 14 May 2024
  • Proth prime 2 435
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    4 KB (363 words) - 09:11, 14 May 2024
  • Proth prime 2 791
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (114 words) - 09:28, 14 May 2024
  • Proth prime 2 453
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    2 KB (194 words) - 09:12, 14 May 2024
  • Proth prime 2 1165
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    860 bytes (83 words) - 09:43, 14 May 2024
  • Proth prime 2 37
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (259 words) - 02:40, 15 May 2024
  • Proth prime 2 39
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    4 KB (518 words) - 02:03, 15 May 2024
  • Proth prime 2 677
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    752 bytes (77 words) - 09:21, 14 May 2024
  • Proth prime 2 629
    {{Proth prime {{HistC|2023-04-30|4000000|PrimeGrid Proth Prime Search}}
    2 KB (211 words) - 09:17, 14 May 2024
  • Proth prime 2 553
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    3 KB (280 words) - 09:14, 14 May 2024
  • Proth prime 2 499
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    1 KB (106 words) - 09:12, 14 May 2024
  • Proth prime 2 403
    {{Proth prime {{HistC|2024-02-29|4500000|PrimeGrid Proth Prime Search}}
    2 KB (221 words) - 09:09, 14 May 2024
  • Proth prime 2 177
    {{Proth prime {{HistF|2023-07-02|4162494|John Hall, PrimeGrid Proth Prime Search}}
    2 KB (262 words) - 00:46, 15 May 2024
  • Proth prime 2 765
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    3 KB (262 words) - 09:26, 14 May 2024
  • Proth prime 2 973
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    2 KB (174 words) - 09:36, 14 May 2024
  • Proth prime 2 319
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    737 bytes (78 words) - 09:05, 14 May 2024
  • Proth prime 2 745
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (101 words) - 09:24, 14 May 2024
  • Proth prime 2 1149
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    1 KB (146 words) - 09:42, 14 May 2024
  • Proth prime 2 297
    {{Proth prime {{HistC|2024-04-30|5000000|PrimeGrid Proth Prime Search}}
    1 KB (120 words) - 09:55, 14 May 2024
  • Proth prime 2 789
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    2 KB (162 words) - 09:27, 14 May 2024
  • Proth prime 2 41
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    1,017 bytes (121 words) - 02:00, 15 May 2024
  • Proth prime 2 43
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    2 KB (188 words) - 01:57, 15 May 2024
  • Proth prime 2 45
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    3 KB (389 words) - 01:56, 15 May 2024
  • Proth prime 2 47
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    340 bytes (38 words) - 01:54, 15 May 2024
  • Proth prime 2 49
    {{Proth prime {{HistC|2019-07|3322000-3640000|PrimeGrid Proth Mega Prime Search}}
    1 KB (152 words) - 01:53, 15 May 2024
  • Proth prime 2 1601
    {{Proth prime {{HistC|2023-10-21|3322000-3486000|PrimeGrid Proth Mega Prime Search}}
    613 bytes (52 words) - 10:24, 14 May 2024
  • Proth prime 2 933
    {{Proth prime {{HistC|2022-07-31|3322000|PrimeGrid Proth Prime Search}}
    3 KB (251 words) - 09:35, 14 May 2024
  • Proth prime 2 259
    {{Proth prime {{HistF|2023-12-02|4395550|Raphaël Gervais Lavoie,PrimeGrid Proth Prime Search}}
    602 bytes (66 words) - 10:04, 14 May 2024
  • Proth prime 2 4052555153018976267
    {{Proth prime |PRemarks=[[Pierpont prime]] {{Kbn|+|3^39|2|n}}
    490 bytes (32 words) - 05:33, 11 October 2021
  • Proth prime 2 207
    {{Proth prime {{HistF|2021-09-26|3095391|Stefan Larsson,PrimeGrid Proth Prime Search}}
    2 KB (222 words) - 00:39, 15 May 2024
  • Proth prime 2 202705
    {{Proth prime
    386 bytes (41 words) - 08:42, 13 January 2022
  • Proth prime 2 77777
    {{Proth prime
    487 bytes (48 words) - 15:12, 30 April 2024
  • Proth prime 2 23873
    {{Proth prime
    403 bytes (44 words) - 19:12, 5 April 2023
  • Proth prime 6 5
    {{Proth prime
    1 KB (126 words) - 18:51, 27 October 2023
  • Proth prime 5 4
    {{Proth prime
    718 bytes (75 words) - 07:17, 14 February 2023
  • Proth prime 2 35461
    {{Proth prime
    342 bytes (37 words) - 19:21, 5 April 2023
  • Proth prime 2 39527
    {{Proth prime
    465 bytes (51 words) - 19:24, 5 April 2023
  • Proth prime 2 44243
    {{Proth prime
    701 bytes (80 words) - 19:38, 5 April 2023
  • Proth prime 2 77297
    {{Proth prime
    281 bytes (30 words) - 13:32, 7 April 2023
  • Proth prime 2 68221
    {{Proth prime
    656 bytes (72 words) - 13:37, 7 April 2023
  • Proth prime 2 54953
    {{Proth prime
    831 bytes (93 words) - 13:46, 7 April 2023
  • Proth prime 2 57377
    {{Proth prime
    711 bytes (78 words) - 14:21, 7 April 2023
  • Proth prime 2 71657
    {{Proth prime
    1 KB (122 words) - 12:38, 8 April 2023
  • Proth prime 2 577294575
    {{Proth prime
    3 KB (312 words) - 00:17, 30 April 2024
  • Proth prime 2 945561887392230553579269135
    {{Proth prime
    1 KB (75 words) - 11:17, 22 April 2024
  • Proth prime 999 998
    {{Proth prime
    402 bytes (42 words) - 08:33, 10 July 2023
  • Williams prime MP 999
    {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 999 998|PMaxn|1}}
    278 bytes (36 words) - 21:54, 26 April 2023
  • Robert Gerbicz
    ...ble-checks in [[Proth prime|Proth]], [[Mersenne prime|Mersenne]], [[Riesel prime|Riesel]], and (in an extended form) [[Generalized Fermat number|Generalized
    607 bytes (78 words) - 20:45, 8 May 2023
  • Proth prime 2 10001
    {{Proth prime
    519 bytes (41 words) - 17:59, 22 September 2023
  • Proth prime 2 10003
    {{Proth prime
    618 bytes (46 words) - 23:35, 22 September 2023
  • Proth prime 2 314159265
    {{Proth prime
    515 bytes (26 words) - 19:18, 14 March 2024
  • Proth prime 2 165
    {{Proth prime {{HistF|2023-11-23|4379097|Dawid Kwiatkowski,PrimeGrid Proth Prime Search}}
    4 KB (446 words) - 00:50, 15 May 2024
  • Proth prime 2 2379
    {{Proth prime
    326 bytes (16 words) - 15:46, 9 May 2024
  • Proth prime 2 93
    {{Proth prime
    824 bytes (47 words) - 15:04, 13 May 2024
  • Drive Data test
    *Purpose: including type of search (Riesel,Proth,SG,Twin,GFN,...), {{Vk}}-range, {{Vn}}-range | style="background:SkyBlue; width:15%; font-weight:bold;" | Project || [[No Prime Left Behind]]
    4 KB (513 words) - 08:09, 15 May 2024
  • Proth prime 2 2943
    {{Proth prime
    280 bytes (18 words) - 10:29, 13 May 2024

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