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• Examples
  *[https://www.rieselprime.de/default.htm Riesel and Proth Prime Databse RPPDb] The <b>[[:Category:Carol-Kynea_prime|category]]</b> for Carol/Kynea primes holds example pages for some bases.
  11 KB (1,236 words) - 14:41, 3 September 2020
• Mersenne prime
  ...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
• MersenneForum
  *[[Riesel Prime Search]] *[[Sierpiński-Riesel Base 5]]
  2 KB (293 words) - 17:33, 5 July 2019
• No Prime Left Behind
  ...rime]] searching project started on 2008-01-10. The project searches for [[Riesel prime]]s of the form {{Kbn|k|2|n}} with odd {{Vk}} and 300 < {{Vk}} < 1001
  745 bytes (111 words) - 02:17, 1 May 2024
• Sierpiński problem
  In early 2002, primes had been found for all but seventeen choices of {{Vk}}. At that point, the *[[Riesel problem 1|Riesel problem]]
  5 KB (650 words) - 10:25, 26 March 2024
• Riesel and Proth Prime Database
  The '''Riesel and Proth Prime Database''' is a database mainly of [[Riesel prime]]s and [[Proth prime]]s and some others subjects like [[Aliquot seque *[https://www.rieselprime.de/default.htm Riesel and Proth Prime Database main page]
  380 bytes (59 words) - 14:14, 24 January 2019
• Primality test
  *[[LLR|Lucas–Lehmer–Riesel test]]: Used for [[Riesel prime]]s.
  3 KB (501 words) - 05:20, 3 August 2021
• Generalized Fermat number
  In 1985, Dubner for the first time built a list of large primes of the form: b^{2^m}+1, ''b &ge; 2'' and ''m &ge; 1''. ==Björn & Riesel==
  5 KB (726 words) - 09:57, 12 September 2021
• PrimeGrid
  :[[PrimeGrid 321 Prime Search|321 Prime Search]] searching for mega primes of the form {{Kbn|±|3|2|n}}. :[[PrimeGrid 27121 Prime Search|27121 Prime Search]] searching for primes of the forms {{Kbn|±|27|2|n}} and {{Kbn|±|121|2|n}}.
  3 KB (458 words) - 10:28, 26 March 2024
• Twin Prime Search
  ...ted computing project that looks for large [[twin prime]]s ([[Riesel prime|Riesel type]] {{Kbn|k|n}}) of world record size.
  826 bytes (100 words) - 11:04, 21 March 2024
• Riesel Prime Search
  '''Riesel Prime Search''' (RPS) is a prime searching project established in 2005 by [ :The project is searching for [[Riesel prime]]s {{Kbn|k|n}}, {{Vk}} > 1.
  845 bytes (120 words) - 02:21, 1 May 2024
• Sophie Germain prime
  It is not known whether there are infinitely many Sophie Germain primes. ==List of Sophie Germain primes==
  1 KB (171 words) - 04:26, 3 November 2020
• M18
  | discoverer=[[Hans Riesel]] ...[Mersenne prime]] 2^{{Num|3217}}-1 found on 1957-09-08 by [[Hans Riesel]].
  415 bytes (47 words) - 22:26, 17 February 2019
• Riesel prime
  Although there's no official definition of a '''Riesel prime''' mostly all primes of the form {{Kbn|k|n}} with 2^{{Vn}} > {{Vk}} are called like th *[https://www.mersenneforum.org/showthread.php?t=13180 "Post Top-5000 Primes Here"]: [https://www.mersenneforum.org/showpost.php?p=208696 #1 (2010-03-17
  2 KB (279 words) - 03:48, 24 April 2024
• Riesel Sieve
  The '''Riesel sieve project (RSP)''' is a [[distributed computing]] project. It is now a ...e to find primes for all the remaining k values to prove that they are not Riesel numbers.
  2 KB (326 words) - 10:29, 26 March 2024
• PRPNet
  Several [[distributed computing]] projects use PRPclient to find primes, including: *[[Sierpiński-Riesel Base 5]]
  531 bytes (63 words) - 13:36, 5 November 2023
• Sierpiński-Riesel Base 5
  The '''Sierpiński-Riesel Base 5 Project''' is a [[distributed computing project]]. It was formerly m ...e smallest possible [[Riesel number base 5]]. To prove this, one must find primes for all {{Vk}} below the smallest known number.
  2 KB (231 words) - 11:42, 5 October 2020
• Riesel problem 1
  {{DISPLAYTITLE:Riesel problem, {{Kbn|-|k|2|n}}, {{Vk}} < {{Num|509203}}}} The '''Riesel problem''' involves determining the smallest [[Riesel number]].
  6 KB (689 words) - 18:14, 4 April 2024
• Tutorial LLR
  '''Tutorial to LLR (Lucas Lehmer Riesel) and PRP:''' The projects [[Prime Sierpiński Project]] and [[Riesel Sieve]] also use [[LLRNET]], which is recommended for people with a perman
  2 KB (337 words) - 13:24, 20 February 2019
• Riesel prime 2 1
  {{Riesel prime *[[List of known Mersenne primes]]
  2 KB (288 words) - 11:41, 3 April 2023
• Riesel 2 Low-weight
  {{DISPLAYTITLE:Riesel numbers of the form {{Kbn|k|n}} with Nash weight < 1000}} Riesel numbers {{Kbn|k|n}} where the [[Nash weight]] is smaller than 1000.
  948 bytes (121 words) - 13:08, 21 July 2021
• Riesel prime small bases least n
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|b|n}}, least {{Vn}}-values}} Here are shown the least {{Vn}} &ge; 1 generating a [[Riesel prime]] of the form {{Kbn|k|b|n}} for 2 &le; {{Vb}} &le; 1030 and 2 &le; {{
  6 KB (684 words) - 09:40, 17 March 2024
• Alexander Jones
  '''Alexander Jones''' primarily contributes to filling in missing ranges in [[Riesel prime]]s and contributing to challenges and short-term subprojects on [[Pri *[https://github.com/happy5214/rps Riesel Prime Results]
  835 bytes (107 words) - 20:41, 30 April 2024
• Woodall prime P 2 table
  {{DISPLAYTITLE:Near Woodall primes of the form {{Kbn|(n+1)|2|n}}}} | 1 || 1 || 1 || {{Kbn|2|1}} || [[Riesel prime 2 1|{{Kbn|2}}]] || n.n. || n.n.
  4 KB (327 words) - 16:31, 31 August 2021
• Riesel prime const 333333
  {{Riesel prime const ...arks=For all primes of [[PrimeGrid]] see [https://www.primegrid.com/primes/primes.php?project=TPS&factors=+&only=ALL&announcements=ALL&sortby=size&dc=no&sear
  639 bytes (69 words) - 07:54, 19 August 2019
• Woodall prime M 2 table
  {{DISPLAYTITLE:Near Woodall primes of the form {{Kbn|(n-1)|2|n}}}} | 1 || 2 || 1 || {{Kbn|1|2}} || [[Riesel prime 2 1|{{Kbn|2}}]]<ref>Mersenne prime [[M1]]</ref> || n.n. || n.n.
  3 KB (313 words) - 16:51, 31 August 2021
• RPS Drive 10
  *Name: [[Riesel Prime Search]] Drive 10 *Purpose: The goal of this drive is to search for primes of the form '''{{Kbn|k|n}}''' for '''128 low-weighted {{Vk}}'s with 10000 <
  2 KB (290 words) - 22:54, 10 April 2024
• Riesel 2 1-300
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, {{Vk}} < 300}} ...matically generated table from available [[:Category:Riesel 2 1-300|Riesel primes {{Vk}} < 300]].
  855 bytes (117 words) - 07:27, 16 July 2021
• RPS Megabit Drive 1
  The goal of this drive is to search for primes of the form {{Kbn|k|n}} for {{Vk}} &le; 300 and {{Vn}} > 1000000. | [[Riesel prime 2 35|35]] || {{GP|Riesel prime 2 35|RNash}} || 12517 || 2520000 - ||
  4 KB (439 words) - 10:45, 9 May 2024
• RPS Megabit Drive 2
  The goal of this drive is to search for primes of the form {{Kbn|k|n}} for {{Vk}} &le; 300 and {{Vn}} > 1000000. | [[Riesel prime 2 115|115]] || {{GP|Riesel prime 2 115|RNash}} || 43318 || 1000000 - || 1141719, 1524183
  4 KB (376 words) - 21:41, 8 May 2024
• RPS Megabit Drive 3
  The goal of this drive is to search for primes of the form {{Kbn|k|n}} for {{Vk}} &le; 300 and {{Vn}} > 1400000. | [[Riesel prime 2 203|203]] || {{GP|Riesel prime 2 203|RNash}} || 23371 ||
  2 KB (155 words) - 07:18, 7 May 2024
• Riesel 2 10e4-10e5
  __NOTOC__{{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, {{Num|10000}} &le; {{Vk}} &le; {{Num|25000}}}} *For {{Num|25000}} &le; {{Vk}} &le; {{Num|100000}} see [[Riesel 2 10e4-10e5a|here]]
  1 KB (176 words) - 09:20, 22 July 2021
• Riesel 2 4000-6000
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 4000 < {{Vk}} < 6000}} ...cally generated table from available [[:Category:Riesel 2 4000-6000|Riesel primes 4000 < {{Vk}} < 6000]].
  883 bytes (117 words) - 08:42, 22 July 2021
• Riesel 2 300-2000
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 300 < {{Vk}} < 2000}} ...ically generated table from available [[:Category:Riesel 2 300-2000|Riesel primes 300 < {{Vk}} < 2000]].
  878 bytes (117 words) - 08:27, 22 July 2021
• RPS Drive 7
  *Name: [[Riesel Prime Search]] Drive 7 *Purpose: The goal of this drive is to search for primes of the form {{Kbn|k|n}} for 21 high-weighted 2200 < {{Vk}} < 3000.
  1 KB (123 words) - 03:03, 17 April 2024
• Riesel 2 10e5-10e6
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 10⁵ < {{Vk}} < 10⁶}} ...cally generated table from available [[:Category:Riesel 2 10e5-10e6|Riesel primes 10⁵ < {{Vk}} < 10⁶]].
  1 KB (153 words) - 09:34, 22 July 2021
• Riesel 2 10e6-10e7
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 10⁶ < {{Vk}} < 10⁷}} ...cally generated table from available [[:Category:Riesel 2 10e6-10e7|Riesel primes 10⁶ < {{Vk}} < 10⁷]].
  1 KB (153 words) - 09:46, 22 July 2021
• Riesel 2 10e7-10e8
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 10⁷ < {{Vk}} < 10⁸}} ...cally generated table from available [[:Category:Riesel 2 10e7-10e8|Riesel primes 10⁷ < {{Vk}} < 10⁸]].
  1 KB (153 words) - 09:58, 22 July 2021
• Riesel 2 10e8-10e9
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 10⁸ < {{Vk}} < 10⁹}} ...cally generated table from available [[:Category:Riesel 2 10e8-10e9|Riesel primes 10⁸ < {{Vk}} < 10⁹]].
  1 KB (153 words) - 10:00, 22 July 2021
• Riesel 2 10e9-10e10
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 10⁹ < {{Vk}} < 10¹⁰}} ...ally generated table from available [[:Category:Riesel 2 10e9-10e10|Riesel primes 10⁹ < {{Vk}} < 10¹⁰]].
  1 KB (153 words) - 10:05, 22 July 2021
• PrimeGrid The Riesel Problem
  Finding primes for the [[Riesel problem 1]]. |category=Riesel problem 1
  2 KB (229 words) - 07:52, 27 March 2024
• PrimeGrid Sierpiński base 5
  Finding primes for the [[Sierpiński number base 5]] problem. Up to date list of eliminations [https://www.primegrid.com/primes/primes.php?project=SR5 here]
  2 KB (245 words) - 11:43, 5 September 2021
• PrimeGrid Riesel base 5
  Finding primes for the [[Sierpiński-Riesel_Base_5|Riesel base 5 problem]]. |category=PrimeGrid Riesel base 5
  4 KB (399 words) - 12:42, 2 March 2024
• PrimeGrid Sophie Germain Search
  ==Found primes== The project found over 12200 primes, with 2 Sophie Germain pairs and 2 Twin pairs. Each of these discoveries ar
  3 KB (337 words) - 15:13, 16 December 2023
• Riesel 2 2000-4000
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 2000 < {{Vk}} < 4000}} ...cally generated table from available [[:Category:Riesel 2 2000-4000|Riesel primes 2000 < {{Vk}} < 4000]].
  883 bytes (117 words) - 08:39, 22 July 2021
• Riesel 2 6000-8000
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 6000 < {{Vk}} < 8000}} ...cally generated table from available [[:Category:Riesel 2 6000-8000|Riesel primes 6000 < {{Vk}} < 8000]].
  883 bytes (117 words) - 08:56, 22 July 2021
• Riesel 2 8000-10000
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, 8000 < {{Vk}} < 10000}} ...ally generated table from available [[:Category:Riesel 2 8000-10000|Riesel primes 8000 < {{Vk}} < 10000]].
  888 bytes (117 words) - 09:00, 22 July 2021
• Riesel 2 10e10-infinity
  {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|n}}, {{Vk}} > 10¹⁰}} ...generated table from available [[:Category:Riesel 2 10e10-infinity|Riesel primes {{Vk}} > 10¹⁰]].
  1 KB (146 words) - 10:08, 22 July 2021
• RPS Drive 9
  *Name: [[Riesel Prime Search]] Drive 9 *Purpose: The goal of this drive is to search for primes of the form {{Kbn|k|n}} for 40 high-weighted 10000 < {{Vk}} < 30000.
  2 KB (151 words) - 10:56, 11 January 2023
• Riesel 2 Riesel
  {{DISPLAYTITLE:Riesel numbers of the form {{Kbn|k|n}}}} '''Riesel numbers''' are odd numbers {{Vk}} for which {{Kbn|k|n}} is composite for al
  808 bytes (110 words) - 21:12, 17 December 2023

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