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  • *'''#''': number count of the Mersenne primes linked to that prime page *[https://www.mersenne.org/primes/ List of known Mersenne prime numbers] at Mersenne.org
    2 KB (360 words) - 09:44, 6 March 2019
  • *[https://primes.utm.edu/primes/search.php All SoB primes]
    2 KB (163 words) - 14:20, 7 March 2019

Page text matches

  • Lists of primes for bases ''b'' and ''n''-values can be found here: ...e included as a separate page.</ref> !! Smallest <ref>The list of smallest primes of any base is an ASCII file for 2 ≤ ''b'' ≤ 1024. For unknown values o
    5 KB (744 words) - 07:30, 5 August 2019
  • ==History for Carol primes== ==History for Kynea primes==
    5 KB (537 words) - 08:17, 9 October 2020
  • ...y generated table from available [[:Category:Carol-Kynea prime|Carol-Kynea primes]]. ==Primes table==
    936 bytes (125 words) - 11:11, 11 June 2019
  • The <b>[[:Category:Carol-Kynea_prime|category]]</b> for Carol/Kynea primes holds example pages for some bases. * field: rieselk_id = 4 (-> "1" = Mersenne primes)
    11 KB (1,236 words) - 14:41, 3 September 2020
  • Mersenne primes are named after [[Marin Mersenne]], a French monk and mathematician, who wa ...ring the largest Mersenne Primes to date. See the [[list of known Mersenne primes]] for more details.
    3 KB (450 words) - 14:37, 21 August 2019
  • *'''#''': number count of the Mersenne primes linked to that prime page *[https://www.mersenne.org/primes/ List of known Mersenne prime numbers] at Mersenne.org
    2 KB (360 words) - 09:44, 6 March 2019
  • ...enerally, [[Mersenne number]]s (not necessarily primes, but candidates for primes) are numbers that are one less than a power of two; hence, ...l to the sum of their proper divisors. Historically, the study of Mersenne primes was motivated by this connection; in the 4th century BC [[Euclid]] demonstr
    5 KB (857 words) - 14:53, 19 September 2021
  • ...ant role in opening up new windows onto our understanding, not just of the primes, but in many other areas of mathematics as well.
    16 KB (2,614 words) - 11:48, 14 January 2024
  • ==Mersenne primes== In 1644 he conjectured that the only [[Mersenne prime|Mersenne primes]] less than or equal to M(257) were:<br>M(2), M(3), M(5), M(7), M(13), M(17
    11 KB (1,582 words) - 01:17, 15 January 2024
  • 733 bytes (107 words) - 11:27, 14 January 2024
  • *[http://primes.utm.edu/bios/includes/nollnote.php Entry at] [[The Prime Pages]]
    2 KB (333 words) - 12:40, 9 February 2022
  • ...that he wrote]]) and has been involved in the discovery of seven Mersenne primes, namely: *[http://primes.utm.edu/bios/page.php?lastname=Slowinski The Prime Pages - David Slowinski]
    1 KB (213 words) - 23:53, 14 January 2024
  • ...ber, and such primes are called '''Fermat primes'''. The only known Fermat primes are {{V|F}}<sub>0</sub>,...,{{V|F}}<sub>4</sub>. ...he sequence {{{V|p}}<sub>{{Vn}}</sub>} is an infinite sequence of distinct primes.
    12 KB (1,913 words) - 14:35, 9 August 2021
  • He is listed as co-discoverer of [[M49]], [[M50]] and [[M51]] Mersenne primes.
    192 bytes (26 words) - 12:04, 21 August 2019
  • ...'' and the superposition of the corresponding stencils to reveal those few primes having these residues ''R''. ...Lehmer presented data to contradict this conjecture, especially for small primes, and [[Christopher Hooley]] later showed that this follows from the [[Gener
    6 KB (1,033 words) - 01:13, 15 January 2024
  • ...y many natural numbers with less than {{Num|1000000}} digits, "nearly all" primes are megaprimes. ...e [[Mersenne prime]]s. The current list is avalable [http://primes.utm.edu/primes/search.php?MinDigits=1000000&&Number=10000&Style=HTML here].
    806 bytes (111 words) - 07:59, 14 July 2021
  • ...any natural numbers with less than {{Num|1000000000}} digits, "nearly all" primes are gigaprimes.
    871 bytes (119 words) - 07:54, 14 July 2021
  • ==Search for Home Primes base 2== ===Table of open Home Primes up to {{Vn}} = {{Num|12000}}===
    2 KB (175 words) - 18:45, 14 December 2023
  • ...rich prime, satisfying <math>2^{n-1} = 1\ (mod\ n^2)</math>. Only two such primes are known 1093 and 3511, out of a very deep search, and neither of these sq
    7 KB (1,150 words) - 23:48, 19 April 2023
  • .... Given here links to [[Factoring Database]] in html and text formats. The primes are the [[Mersenne prime]]s. ==Primes for ''n''==
    2 KB (176 words) - 12:01, 13 February 2019
  • ...dates (31 of 75). There was a theory that there was an 'Island of Mersenne Primes'. They were testing this theory and that Tuckerman's discovery of [[M24]] ( *[http://primes.utm.edu/bios/includes/nollnote.php Noll at the Prime Pages]
    2 KB (303 words) - 11:01, 26 February 2019
  • ...ent has order N-1 we must show that it does not have order (N-1)/q for all primes q dividing N-1. Thus, if we know all the factors of N-1, we can prove N pri ...1}\over 2}\omega^{{Q+1}\over 2}</math>. Again, 2 is a quadratic residue of primes congruent to <math>\pm 1</math> mod 8, and <math>Q</math> is of this form,
    20 KB (3,572 words) - 14:30, 17 February 2019
  • **Inverse home primes of various bases
    1 KB (144 words) - 13:44, 24 January 2019
  • ...to a special donation, EFF confers [[EFF prizes|prizes]] for finding huge primes. It is expected that these prizes will encourage collaborative computing.
    602 bytes (87 words) - 12:44, 29 January 2019
  • The program was used to verify primes [[M38]], [[M45]], [[M46]], [[M47]], [[M48]], [[M49]], [[M50]] and [[M51]] a
    1 KB (198 words) - 07:28, 22 August 2019
  • 2 KB (251 words) - 18:53, 14 December 2023
  • ...mainder being used by GIMPS to provide awards to other finders of Mersenne primes and to cover expenses. *[http://www.math.ucla.edu/~edson/prime/ Edson Smith and primes]
    5 KB (694 words) - 13:17, 21 August 2019
  • As of December 2018, Prime95 was used to discover all 17 Mersenne primes found by GIMPS. ==Finding Mersenne primes by distributed computing==
    11 KB (1,586 words) - 12:24, 7 August 2021
  • The program was used to verify primes [[M48]], [[M49]], [[M50]] and [[M51]] at the times of their discovery.
    2 KB (275 words) - 11:11, 21 August 2019
  • ...ersenne number]]s. It is related to [[GIMPS]] effort to search the largest primes ever found. It was written in C by Guillermo Ballester Valor and Klaus Kast Glucas was used to verify [[M41]], [[M43]], [[M46]] and [[M47]] primes at the times of their discovery.
    3 KB (426 words) - 14:21, 14 February 2019
  • 4 KB (674 words) - 12:11, 19 February 2019
  • ...hers, MersenneForum is used by: <!-- discoverers and verifiers of Mersenne primes, as well as software developers -->
    2 KB (293 words) - 17:33, 5 July 2019
  • ...company or before they joined the company, discovered 10 of the 11 record primes between 1978 and 1996, namely Slowinski, Gage, and [[Landon Curt Noll]] (ei *[http://primes.utm.edu/notes/1257787.html The Prime Pages]
    3 KB (513 words) - 08:42, 18 February 2019
  • 351 bytes (43 words) - 23:51, 14 January 2024
  • 745 bytes (111 words) - 02:17, 1 May 2024
  • ...[[Factoring Database]] in html and text formats. The primes are the Fermat primes. ==Primes for ''n''==
    2 KB (127 words) - 15:28, 17 August 2019
  • 1 KB (210 words) - 11:16, 22 January 2019
  • 1 KB (207 words) - 08:04, 12 March 2024
  • 647 bytes (99 words) - 12:09, 25 February 2019
  • ...arly for the case of a 32-bit digit size, though now there are 203,280,220 primes to test, and, each one requires 32 bits of storage rather than 16 bits... B ...e <math>2^{32} - 1</math>, would suffice for a sieving process to generate primes as candidate factors up to <math>2^{64}</math> that would suffice to test N
    7 KB (1,221 words) - 13:20, 11 February 2019
  • 512 bytes (71 words) - 11:26, 14 January 2024
  • ...ww.mersenne.org/primes/m45and46.htm GIMPS Discovers 45th and 46th Mersenne Primes] (press release) *[https://www.mersenne.org/primes/Known Mersenne primes] at [[GIMPS]]
    2 KB (251 words) - 11:40, 18 February 2019
  • Two [[integer]] numbers are '''coprime''' or relatively primes when their [[greatest common divisor]] is 1 (<math>\gcd{(x,y)} = 1</math>).
    738 bytes (112 words) - 09:50, 23 January 2019
  • ...program]] useful in both in testing PC's and that it could indeed find new primes.
    2 KB (224 words) - 11:00, 18 February 2019
  • Prior to the Internet, 7 Mersenne primes were discovered at UCLA ...were the first ever to be found using a [[computer]]. Robinson's Mersenne primes were the first to be found in 75 years (2 in the very first day of the run,
    2 KB (347 words) - 14:54, 19 September 2021
  • 4 KB (526 words) - 14:51, 19 September 2021
  • ...puter|supercomputer]] by [[David Slowinski]], discoverer of seven Mersenne primes between 1979 and 1996.
    2 KB (279 words) - 11:01, 18 February 2019
  • ...years prior to the discovery. He first became interested in searching for primes in 2003, when he read an article about the discovery of the [[M40|40th know *[https://www.mersenne.org/primes/press/M77232917.html 50th Known Mersenne Prime Discovered] (press release)
    2 KB (242 words) - 00:08, 15 January 2024
  • In early 2002, primes had been found for all but seventeen choices of {{Vk}}. At that point, the
    5 KB (650 words) - 10:25, 26 March 2024
  • :[https://primes.utm.edu/curios/page.php?curio_id=11327 Prime Curios!] of [[The Prime Pages]
    2 KB (195 words) - 00:13, 15 January 2024

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