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==Sub-projects==
 
==Sub-projects==
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*[[PrimeGrid 321 Prime Search]] searching for mega primes of the form {{Kbn|±|3|2|n}}.
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*Type Proth:
−
*[[PrimeGrid AP27 Search]]: searching for an arithmetic progression ({{V|p}}+{{V|d}}<sup>{{Vn}}</sup>) that yields primes for 27 consecutive values of {{Vn}}.
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:[[PrimeGrid 321 Prime Search|321 Prime Search]] searching for mega primes of the form {{Kbn|±|3|2|n}}.
−
*[[PrimeGrid Cullen Prime Search]] / [[PrimeGrid Woodall Prime Search]]: searching for mega primes of the forms {{Kbn|±|n|2|n}}.
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:[[PrimeGrid 27121 Prime Search|27121 Prime Search]] searching for primes of the forms {{Kbn|±|27|2|n}} and {{Kbn|±|121|2|n}}.
−
*[[PrimeGrid Extended Sierpiński Project]]: helping solve the [[Extended Sierpiński Problem]].
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:[[PrimeGrid Proth Prime Search|Proth Prime Search]]: searching for primes of the form {{Kbn|+|k|2|n}}.
−
*Fermat Divisor Search: searching for large prime divisors of [[Fermat number]]s.
+
:[[PrimeGrid Proth Prime Search Extended|Proth Prime Search Extended]]: searching for primes of the form {{Kbn|+|k|2|n}}.
−
*[[PrimeGrid Generalized Cullen Prime Search]]: searching for primes of the form {{Kbn|+|n|b|n}}.
+
 
−
*[[PrimeGrid Generalized Fermat Prime Search]] Search: searching for megaprimes of the form {{Kbn|+|1|b|2<sup>{{Vn}}</sup>}}.
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*Type Sierpiński:
−
*[[PrimeGrid Prime Sierpiński Problem|Prime Sierpiński problem]]: helping Prime Sierpiński Project solve the [[Prime Sierpiński problem]].
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:[[PrimeGrid Seventeen or Bust|Seventeen or Bust]]: helping to solve the [[Sierpiński problem]].
−
*[[PrimeGrid Proth Prime search]] Search: searching for primes of the form {{Kbn|+|k|2|n}}.
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:[[PrimeGrid Extended Sierpiński Problem|Extended Sierpiński Problem]]: helping solve the [[Extended Sierpiński Problem]].
−
*[[PrimeGrid Seventeen or Bust]]: helping to solve the [[Sierpiński problem]].
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:[[PrimeGrid Prime Sierpiński Problem|Prime Sierpiński Problem]]: helping Prime Sierpiński Project solve the [[Prime Sierpiński problem]].
−
*[[PrimeGrid Sierpiński base 5]] / [[PrimeGrid Riesel base 5]]: helping to solve the [[Sierpiński-Riesel Base 5]] Problem.
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:[[PrimeGrid Sierpiński base 5|Sierpiński base 5]]: helping to solve the [[Sierpiński-Riesel Base 5]] Problem.
−
*[[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]]: helping to solve the [[Riesel problem]].
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*Type Riesel:
 +
:[[PrimeGrid The Riesel Problem|The Riesel Problem]]: helping to solve the [[Riesel problem 1|Riesel problem]].
 +
:[[PrimeGrid Riesel base 5|Riesel base 5]]: helping to solve the [[Sierpiński-Riesel Base 5]] Problem.
 +
 
 +
*Type Fermat:
 +
:[[PrimeGrid Generalized Fermat Prime Search|Generalized Fermat Prime Search]]: searching for primes of the form {{Kbn|+|1|b|2<sup>{{Vn}}</sup>}}.
 +
 
 +
*Type Cullen/Woodall:
 +
:[[PrimeGrid Cullen Prime Search|Cullen Prime Search]]: searching for mega primes of the forms {{Kbn|+|n|2|n}}.
 +
:[[PrimeGrid Woodall Prime Search|Woodall Prime Search]]: searching for mega primes of the forms {{Kbn|-|n|2|n}}.
 +
:[[PrimeGrid Generalized Cullen Prime Search|Generalized Cullen Prime Search]]: searching for primes of the form {{Kbn|+|n|b|n}}.
 +
 
 +
*Others:
 +
:[[PrimeGrid AP27 Search|AP27 Search]]: searching for an arithmetic progression ({{V|p}}+{{V|d•n}}) that yields primes for 27 consecutive values of {{Vn}}.
 +
 
 +
===Former projects===
 +
:[[PrimeGrid Fermat Divisor Search|Fermat Divisor Search]]: searching for large prime divisors of [[Fermat number]]s. Completed April 2021.
 +
:[[PrimeGrid Wieferich and Wall-Sun-Sun Prime Search|Wieferich and Wall-Sun-Sun Prime Search]]: searching for [[Wieferich prime|Wieferich]] and [[Wall-Sun-Sun prime]]s. Completed December 2022.<ref>[https://www.primegrid.com/forum_thread.php?id=10037&nowrap=true#158619 End of WW Project - 30 day notice - PrimeGrid forums]</ref>
 +
:[[PrimeGrid Proth Mega Prime Search|Proth Mega Prime Search]]: searching for primes of the form {{Kbn|+|k|2|n}}. Terminated in October 2023.
 +
:[[PrimeGrid Sophie Germain Search|Sophie Germain Search]]: searching for primes {{V|p}} and 2{{V|p}}+1, and twin primes {{V|p}} and {{V|p}}+2. Completed in December 2023.
  
 
==References==
 
==References==
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*[[Wikipedia:PrimeGrid|PrimeGrid]]
 
*[[Wikipedia:PrimeGrid|PrimeGrid]]
 
*[https://www.primegrid.com/ Homepage]
 
*[https://www.primegrid.com/ Homepage]
 +
{{Navbox PrimeGrid}}
 
{{Navbox Projects}}
 
{{Navbox Projects}}
 
[[Category:PrimeGrid| ]]
 
[[Category:PrimeGrid| ]]

Latest revision as of 10:28, 26 March 2024

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 October 2020, there are about 3,300 active participants (on about 16,000 host computers) from 89 countries, reporting about 1,860 teraflops.[1]

Sub-projects

  • Type Proth:
321 Prime Search searching for mega primes of the form 3•2n±1.
27121 Prime Search searching for primes of the forms 27•2n±1 and 121•2n±1.
Proth Prime Search: searching for primes of the form k•2n+1.
Proth Prime Search Extended: searching for primes of the form k•2n+1.
  • Type Sierpiński:
Seventeen or Bust: helping to solve the Sierpiński problem.
Extended Sierpiński Problem: helping solve the Extended Sierpiński Problem.
Prime Sierpiński Problem: helping Prime Sierpiński Project solve the Prime Sierpiński problem.
Sierpiński base 5: helping to solve the Sierpiński-Riesel Base 5 Problem.
  • Type Riesel:
The Riesel Problem: helping to solve the Riesel problem.
Riesel base 5: helping to solve the Sierpiński-Riesel Base 5 Problem.
  • Type Fermat:
Generalized Fermat Prime Search: searching for primes of the form b2n+1.
  • Type Cullen/Woodall:
Cullen Prime Search: searching for mega primes of the forms n•2n+1.
Woodall Prime Search: searching for mega primes of the forms n•2n-1.
Generalized Cullen Prime Search: searching for primes of the form n•bn+1.
  • Others:
AP27 Search: searching for an arithmetic progression (p+d•n) that yields primes for 27 consecutive values of n.

Former projects

Fermat Divisor Search: searching for large prime divisors of Fermat numbers. Completed April 2021.
Wieferich and Wall-Sun-Sun Prime Search: searching for Wieferich and Wall-Sun-Sun primes. Completed December 2022.[2]
Proth Mega Prime Search: searching for primes of the form k•2n+1. Terminated in October 2023.
Sophie Germain Search: searching for primes p and 2p+1, and twin primes p and p+2. Completed in December 2023.

References

  1. ↑ PrimeGrid - BOINCstats
  2. ↑ End of WW Project - 30 day notice - PrimeGrid forums

External links

PrimeGrid
Projects
Retrieved from "https://www.rieselprime.de/z/index.php?title=PrimeGrid&oldid=30709"