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Difference between revisions of "PrimeGrid"
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==Sub-projects== | ==Sub-projects== | ||
| − | *[[321 Prime Search]] searching for mega primes of the form | + | *[[PrimeGrid 321 Prime Search]] searching for mega primes of the form {{Kbn|±|3|2|n}}. |
| − | *[[AP27 Search]]: searching for an arithmetic progression ({{V|p}}+{{V|d}}<sup>{{Vn}}</sup>) that yields primes for 27 consecutive values of {{Vn}}. | + | *[[PrimeGrid AP27 Search]]: searching for an arithmetic progression ({{V|p}}+{{V|d}}<sup>{{Vn}}</sup>) that yields primes for 27 consecutive values of {{Vn}}. |
| − | *[[Cullen | + | *[[PrimeGrid Cullen Prime Search]] / [[PrimeGrid Woodall Prime Search]]: searching for mega primes of the forms {{Kbn|±|n|2|n}}. |
| − | *[[Extended | + | *[[PrimeGrid Extended Sierpinski Project]]: helping solve the [[Extended Sierpiński Problem]]. |
*Fermat Divisor Search: searching for large prime divisors of [[Fermat number]]s. | *Fermat Divisor Search: searching for large prime divisors of [[Fermat number]]s. | ||
| − | *[[ | + | *[[PrimeGrid Generalized Cullen]]: searching for primes of the form {{Kbn|+|n|b|n}}. |
| − | *[[Generalized Fermat | + | *[[PrimeGrid Generalized Fermat Prime Search]] Search: searching for megaprimes of the form {{Kbn|+|1|b|2<sup>{{Vn}}</sup>}}. |
| − | *[[PrimeGrid Prime Sierpiński Problem|Prime Sierpiński problem]]: helping Prime Sierpiński Project solve the Prime Sierpiński problem. | + | *[[PrimeGrid Prime Sierpiński Problem|Prime Sierpiński problem]]: helping Prime Sierpiński Project solve the [[Prime Sierpiński problem]]. |
| − | *[[Proth | + | *[[PrimeGrid Proth Prime search]] Search: searching for primes of the form {{Kbn|+|k|2|n}}. |
| − | *[[Seventeen or Bust]]: helping to solve the [[Sierpiński problem]]. | + | *[[PrimeGrid Seventeen or Bust]]: helping to solve the [[Sierpiński problem]]. |
| − | *Sierpinski | + | *[[PrimeGrid Sierpinski base 5]] / [[PrimeGrid Riesel base 5]]: helping to solve the [[Sierpiński-Riesel Base 5]] Problem. |
| − | *[[PrimeGrid Sophie Germain | + | *[[PrimeGrid Sophie Germain Search]]: searching for primes {{V|p}} and 2{{V|p}}+1, and twin primes {{V|p}} and {{V|p}}+2. |
| − | *[[PrimeGrid Riesel Problem | + | *[[PrimeGrid Riesel Problem]]: helping to solve the [[Riesel problem]]. |
==External links== | ==External links== | ||
Revision as of 07:49, 28 September 2020
Overview
PrimeGrid is a distributed computing project for searching for prime numbers of world-record size. It makes use of the Berkeley Open Infrastructure for Network Computing (BOINC) platform. As of August 2010, there are about 5,000 active participants (on about 11,500 host computers) from 89 countries, reporting about 65 teraflops.
Sub-projects
- PrimeGrid 321 Prime Search searching for mega primes of the form 3•2n±1.
- PrimeGrid AP27 Search: searching for an arithmetic progression (p+dn) that yields primes for 27 consecutive values of n.
- PrimeGrid Cullen Prime Search / PrimeGrid Woodall Prime Search: searching for mega primes of the forms n•2n±1.
- PrimeGrid Extended Sierpinski Project: helping solve the Extended Sierpiński Problem.
- Fermat Divisor Search: searching for large prime divisors of Fermat numbers.
- PrimeGrid Generalized Cullen: searching for primes of the form n•bn+1.
- PrimeGrid Generalized Fermat Prime Search Search: searching for megaprimes of the form b2n+1.
- Prime Sierpiński problem: helping Prime Sierpiński Project solve the Prime Sierpiński problem.
- PrimeGrid Proth Prime search Search: searching for primes of the form k•2n+1.
- PrimeGrid Seventeen or Bust: helping to solve the Sierpiński problem.
- PrimeGrid Sierpinski base 5 / PrimeGrid Riesel base 5: helping to solve the Sierpiński-Riesel Base 5 Problem.
- PrimeGrid Sophie Germain Search: searching for primes p and 2p+1, and twin primes p and p+2.
- PrimeGrid Riesel Problem: helping to solve the Riesel problem.
