Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
Navigation
Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Search results
Create the page "Proth prime 1" on this wiki! See also the search results found.
Page title matches
- {{Proth prime |Pk=1212 bytes (30 words) - 15:35, 2 October 2022
Page text matches
- :{{V|F}}<sub>{{Vn}}</sub> = {{Kbn|+|1|2|2<sup>n</sup>}} :{{V|F}}<sub>0</sub> = {{Kbn|+|1}} = 312 KB (1,913 words) - 14:35, 9 August 2021
- *{{Kbn|+|78557|4n+1}} is multiple of 5. *{{Kbn|+|78557|3n+1}} is multiple of 7.5 KB (650 words) - 10:25, 26 March 2024
- ...50?tify={%22pages%22:%5B306%5D,%22view%22:%22%22} "Generalregister zu Band 1-50 der Zeitschrift für Mathematik und Physik"], p.292) ...fy={%22pages%22:%5B412%5D,%22view%22:%22%22} "Die Zahlen von der Form k.2n+1"], Zeitschrift fur Mathematik und Physik, '''Vol. 31''' (1886) p3802 KB (195 words) - 00:13, 15 January 2024
- ...Sierpiński problem]] article, [[Hans Riesel]] found in 1956 that [[Riesel prime 2 509203|{{Kbn|509203|n}}]] is always composite. ...ether 509203 is the smallest Riesel number or not (the '''[[Riesel problem 1]]'''), a [[distributed computing project]] was created named [[Riesel Sieve827 bytes (112 words) - 08:21, 25 March 2024
- .... 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 test3 KB (501 words) - 05:20, 3 August 2021
- ...: "The test that we today call Pépin's test is actually [[Proth's theorem|Proth's test]] with a proof provided by Lucas". ...s, like the [[Generalized Fermat number]]s <math>F_{n,2} = 4^{3^n}+2^{3^n}+1</math> with k = 5 instead of k = 3.2 KB (401 words) - 14:40, 6 March 2019
- **[[Proth's theorem|Proth algorithm]] for {{Kbn|+|k|n}} numbers. **{{V|N}}-1 [[Pocklington algorithm]] for {{Kbn|+|k|b|n}} numbers.2 KB (300 words) - 22:00, 16 December 2023
- ...+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 equal to 0. :<math>F_{n,1}</math> generates the [[Fermat number]]s.5 KB (726 words) - 09:57, 12 September 2021
- ...ipants (on about 16,000 host computers) from 89 countries, reporting about 1,860 [[Computing power#FLOPS|teraflops]].<ref>[https://www.boincstats.com/st *Type Proth:3 KB (458 words) - 10:28, 26 March 2024
- ...ing sieving of generalized Cullen/Woodall numbers n × b<sup>n</sup>+-1) http://sites.google.com/site/geoffreywalterreynolds/programs/gcwsieve ...ng [[twin prime]]s of the same form) http://sites.google.com/site/kenscode/prime-programs2 KB (220 words) - 11:42, 7 March 2019
- This article is about '''Proth's theorem'''. Proth's theorem (1878) states:549 bytes (88 words) - 18:15, 28 September 2023
- ...in the form {{Kbn|+|k|n}} with 2<sup>''n''</sup> > ''k'' are often called Proth primes. Different from this definition all values ''n'' ≥ 1 are listed in {{SITENAME}}.656 bytes (91 words) - 07:02, 31 August 2020
- 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 Different from this definition all values {{Vn}} ≥ 1 are listed in {{SITENAME}}.2 KB (279 words) - 03:48, 24 April 2024
- 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
- ...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=223 KB (528 words) - 14:59, 3 October 2023
- {{Williams prime |WiMaxn={{GP|Proth prime 2 1|PMaxn}}243 bytes (35 words) - 08:06, 1 August 2021
- {{Williams prime |WiMaxn={{GP|Proth prime 2 3|PMaxn}}259 bytes (36 words) - 10:52, 13 July 2021
- {{Proth prime |Pk=1212 bytes (30 words) - 15:35, 2 October 2022
- {{Proth prime 1;T:GT3 KB (336 words) - 16:58, 15 April 2024
- {{Proth prime 11 KB (144 words) - 11:12, 24 August 2021
- {{Proth prime 1;T:T3 KB (456 words) - 04:11, 15 May 2024
- {{Proth prime 12 KB (248 words) - 08:42, 15 May 2024
- {{Proth prime 1;T:T3 KB (412 words) - 08:00, 15 May 2024
- {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 5 4|PMaxn|1}}260 bytes (36 words) - 08:29, 11 February 2023
- {{Williams prime |WiMaxn={{Reuse Primelist|Proth prime 6 5|PMaxn|1}}260 bytes (36 words) - 16:08, 10 February 2023
- {{Williams prime |WiMaxn={{GP|Proth prime 3 4|PMaxn}}293 bytes (41 words) - 11:57, 13 July 2021
- {{Proth prime 12 KB (210 words) - 02:44, 15 May 2024
- {{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 |PMultiRes=13 KB (299 words) - 01:29, 15 May 2024
- |title=Proth |latest=7.1<br>2004-05667 bytes (101 words) - 16:44, 31 August 2021
- {{Proth prime |PMultiRes=11 KB (111 words) - 00:53, 15 May 2024
- {{Proth prime |PMultiRes=13 KB (263 words) - 10:10, 14 May 2024
- {{Proth prime |PMultiRes=12 KB (194 words) - 00:52, 15 May 2024
- {{Proth prime 11 KB (19 words) - 16:09, 11 July 2021
- {{Proth prime 11 KB (124 words) - 08:43, 12 July 2021
- {{Proth prime 1681 bytes (56 words) - 15:43, 11 July 2021
- {{Proth prime |PCount=1561 bytes (72 words) - 17:14, 13 August 2021
- |debug=1 |include={Proth prime}:Pk,{Proth prime}:Pk2 KB (245 words) - 11:43, 5 September 2021
- ...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
- {{Proth prime 1403 bytes (36 words) - 09:59, 12 July 2021
- {{Proth prime 1459 bytes (40 words) - 09:57, 12 July 2021
- {{Proth prime 1582 bytes (53 words) - 10:16, 12 July 2021
- {{Proth prime 1;T:T657 bytes (66 words) - 08:33, 12 July 2021
- To solve the [[Sierpiński problem]] by finding a prime of the form {{Kbn|+|k|n}} for each remaining value of {{Vk}} < 78,557. |debug=11 KB (135 words) - 11:42, 5 September 2021
- {{Proth prime |PCount=1314 bytes (35 words) - 08:43, 10 April 2023
- {{Proth prime |PCount=1310 bytes (35 words) - 08:44, 10 April 2023
- {{Proth prime |PCount=1225 bytes (24 words) - 15:53, 11 July 2021
- 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.p753 bytes (97 words) - 08:45, 12 September 2021
- {{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
- {{Proth prime |PCount=11 KB (129 words) - 18:02, 6 April 2023