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Difference between revisions of "PrimeGrid"
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(Move Fermat to new "completed" section) |
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*Type Fermat: | *Type Fermat: | ||
:[[PrimeGrid Generalized Fermat Prime Search|Generalized Fermat Prime Search]]: searching for megaprimes of the form {{Kbn|+|1|b|2<sup>{{Vn}}</sup>}}. | :[[PrimeGrid Generalized Fermat Prime Search|Generalized Fermat Prime Search]]: searching for megaprimes of the form {{Kbn|+|1|b|2<sup>{{Vn}}</sup>}}. | ||
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*Type Cullen/Woodall: | *Type Cullen/Woodall: | ||
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:[[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. | :[[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. | ||
| + | ===Former projects=== | ||
| + | :[[PrimeGrid Fermat Divisor Search|Fermat Divisor Search]]: searching for large prime divisors of [[Fermat number]]s. Completed April 2021. | ||
==References== | ==References== | ||
<references/> | <references/> | ||
Revision as of 05:52, 7 September 2021
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.
- Proth Mega Prime Search: searching for primes of the form k•2n+1.
- Type Sierpiński:
- Seventeen or Bust: helping to solve the Sierpiński problem.
- Extended Sierpiński Project: 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 megaprimes 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+dn) that yields primes for 27 consecutive values of n.
- Sophie Germain Search: searching for primes p and 2p+1, and twin primes p and p+2.
Former projects
- Fermat Divisor Search: searching for large prime divisors of Fermat numbers. Completed April 2021.
References
External links
Projects
| Ongoing |
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| Terminated |
PrimeGrid
| Miscellaneous |
| Subprojects |
|
| Completed |
| Others |
