The largest known Proth prime as of 2016 is ⋅ +, and is 9,383,761 digits long. It was found by Szabolcs Peter in the PrimeGrid distributed computing project which announced it on 6 November 2016. It is also the largest known non-Mersenne prime. See also. Sierpinski number

Ray Ballinger's Proth Range Page's contains pages for coordinating the searches for Cullen primes, Woodall primes, "Proth" primes and the Sierpinski problem. Yves Gallot's Generalized Fermat Prime Search--Proth.exe is faster when used on this type of prime. Related pages

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In number theory, Proth's theorem is a primality test for Proth numbers.. It states that if p is a Proth number, of the form k2 n + 1 with k odd and k < 2 n, and if there exists an integer a for which − ≡ −, then p is prime.In this case p is called a Proth prime.This is a practical test because if p is prime, any chosen a has about a 50 percent chance of working.

So when seeking to settle the Sierpinski conjecture we look for a Proth prime for a fixed multiplier k. Finally, notice that we do not define any prime of the form k. 2 n +1 (with no restriction on the relative sizes of n and k) to be a Proth prime--because then every odd prime would be a Proth prime.

New prime number found by Bob Cousins 32883*2^1000004+1 At this date, it is the 15th largest prime number, and the 2nd largest proth prime number Tuesday, March 12, 2002 New prime number found by Bob Cousins 129927*2^344000+1 At this date, it is the 84th largest prime number Sunday, February 17, 2002 New prime number found by Robert van der Peijl

Riesel Prime Search The "Riesel Prime Search" (RPS) project is searching for primes k*2 n-1, odd k > 1 which are sometimes called "Riesel primes" (k=1 yields Mersenne primes extensively searched by GIMPS).RPS is one project on the Top-5000 site of largest primes. We have three subprojects as follows.

number of the form k * 2^n + 1 where 2^n > k. This page was last edited on 11 September 2018, at 12:49. All structured data from the main, property and lexeme namespaces is available under the Creative Commons CC0 License; text in the other namespaces is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply.By using this site, you agree to the Terms …

Sì (Prime Sierpinski Problem) 31 gennaio 2010 Operante 19249×2 13018586 +1, numero primo di Proth più grande conosciuto Sophie Germain prime Search No 16 agosto 2009 Operante Twin Prime Search No 26 novembre 2006 25 luglio 2009 65516468355×2 333333 ±1, la seconda coppia di primi gemelli più grande conosciuta: Woodall prime Search Sì (Cullen)

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PrimeGrid is a distributed computing project which utilizes BOINC and PRPNet to search for primes. The primary goal is to bring the excitement of prime finding to the "everyday" computer user. Simply download the software and let your computer do the rest. Participants can choose from a variety...

Proth prime. From Number. Jump to: navigation, search. This article defines a property that can be evaluated for a prime number. In other words, every prime number either satisfies this property or does not satisfy this property. ... A Proth prime is a Proth number that is …

Help search for the 33rd largest prime number in PSearch. A Proth prime is a prime number of the form k. 2 n +1 where 2 n > k. The project found the 15th largest prime number (and second largest Proth prime number, 32883. 2 1000004 +1, on May 22, 2002. Participants in the project should have at …

PrimeGrid (Proth Prime Search (Sieve), Linux 32bit, Linux 64bit and Windows) SETI@home (Windows and Linux only) You're done! Soon you'll be racking up big credit numbers. Of course, you can attach to other projects too; BOINC will keep both your CPU and GPU busy. Things to be aware of

The Proth number with parameters and is defined as the number: . A Proth number that is also a prime is termed a Proth prime. Relation with other properties Stronger properties. Fermat number: The Fermat number is the Proth number with and . Cullen number; Other related properties. Mersenne number is a number of the form .

A number of the form $k \times 2^n + 1$ with $k < 2^n$ , $k$ odd and $n \ge 1$ is called a Proth number. If it is prime, it is called a Proth prime. Up to which $n ...

About 321 Search. 321 Search began in February 2003 from a post by Paul Underwood seeking help from interested parties in a prime search attempt of the form 3*2^n-1. The initial goal was to build upon the completed work at Proth Search and extend the list of known primes to an exponent of 1 million (n=1M). That was quickly achieved so they ...

Binary Search In JavaScript; Print all Proth primes up to N. Given a number N, the task is to check whether the given number is Proth Prime or not. A Proth prime is a Proth Number which is prime.

PrimeGrid ist ein Volunteer-Computing-Projekt mit mehreren Unterprojekten, das mittels der Technik des verteilten Rechnens nach speziellen Primzahlen sucht. Wurde ursprünglich eine Primzahldatenbank erstellt, sucht man heute nach einer Vielzahl von Primzahlen spezieller Form. Das Projekt wurde offiziell im Juli 2005 gestartet.

10/28/2012 · Proth Prime Search LLR, 321 LLR, The Riesel Problem LLR, Cullen Prime Search LLR, Woodall Prime Search LLR, Prime Serpinski Problem LLR, Seventeen or Bust LLR, Sophie Germain Prime Search LLR, Genefer. Other :-PSA (not counted by some as it is not a BOINC project).

Proth Prime Search проводиться у співпраці з проектом Proth Search. Початковою метою проекту PrimeGrid було перевірити всю попередню роботу проекту Proth Search аж до n=500K для непарних k<1200 і заповнити будь-які ...

프라임그리드(PrimeGrid)는 거대 소수를 찾는 분산 컴퓨팅 프로젝트이다. BOINC 플랫폼을 이용한다. 2011년 9월 기준으로 1,121,600,000,000개가 넘는 BOINC 크레딧에 114개국 7,500개의 활동적인 참가자들이 있으며, 이는 1.663 페타플롭스의 처리 능력에 달한다.

歴史. 2005年5月、Message@homeのプロジェクト名称でMD5で暗号化された文字列の解読の試行を始めた。Message@homeはBOINCスケジューラーをPerlへ移植し移植性を上げる試行だった。 その後、 RSA Factoring Challenge （英語版） のRSA-640因数分解のプロジェクトを開始したが、RSA-640は2005年11月に他チームにより ...

Depuis septembre 2008, PrimeGrid accueille un autre sous-projet dont le but est la recherche de nombre premier de Proth, Proth Prime Search (PPS) [3]. PrimeGrid aide également à la recherche de nombres premiers de Sophie Germain (sous-projet Sophie Germain Prime Search) depuis août 2009.