About
PrimeGrid's primary goal is to advance mathematics by enabling everyday computer users to contribute their system's processing power towards prime finding. By simply
downloading and installing BOINC and attaching to the PrimeGrid project,
participants can choose from a variety of prime forms to search. With a little patience, you may find a large or even record
breaking prime and enter into Chris Caldwell's The Largest Known Primes Database with a multi-million digit prime!
PrimeGrid's secondary goal is to provide relevant educational materials about primes. Additionally, we wish to contribute to the
field of mathematics.
Lastly, primes play a central role in the cryptographic systems which are used for computer security. Through the study of prime
numbers it can be shown how much processing is required to crack an encryption code and thus to determine whether current
security schemes are sufficiently secure. PrimeGrid is currently running several sub-projects:
- 321 Prime Search: searching for
mega primes of the form 3·2n±1.
- Cullen-Woodall Search: searching for
mega primes of forms n·2n+1 and
n·2n−1.
- Generalized Cullen-Woodall Search: searching for mega primes of forms n·bn+1 and
n·bn−1 where n + 2 > b.
- Extended Sierpinski Problem: helping solve the Extended Sierpinski Problem.
- Generalized Fermat Prime Search: searching for
megaprimes of the form b2n+1.
- Prime Sierpinski Project: helping the Prime Sierpinski Project solve the Prime Sierpinski Problem.
- Proth Prime Search: searching for primes of the form k·2n+1.
- Fermat Divisor Search: a subset of the Proth Prime Search specificically searching for divisors of
Fermat numbers.
- Seventeen or Bust: helping to solve the Sierpinski Problem.
- Sierpinski/Riesel Base 5: helping to solve the Sierpinski/Riesel Base 5 Problem.
- Sophie Germain Prime Search: searching for primes p and 2p+1.
- The Riesel problem: helping to solve the Riesel Problem.
- AP27 Search: searching for record length arithmetic progressions of primes.
Recent Significant Primes
On 1 March 2021, 02:47:51 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
25·28788628+1
The prime is 2,645,643 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 75 th overall.
The discovery was made by Tom Greer ( tng) of the United States using an Authentic AMD Ryzen 9 5950X CPU @ 4.90GHz with 32GB RAM, running Microsoft Windows 10 Professional.
This computer took about 2 hours and 46 minutes to complete the primality test using LLR2. Tom Greer is a member of the Antarctic Crunchers team.
For more information, please see the Official Announcement.
On 17 February 2021, 14:27:08 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime
17·28636199+1
The prime is 2,599,757 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 76 th overall.
The discovery was made by Tom Greer ( tng) of the United States using an Intel(R) Xeon(R) Gold 6140 CPU @ 2.30GHz with 1GB RAM, running Linux Ubuntu.
This computer took about 5 hours to complete the primality test using LLR2. Tom Greer is a member of the Antarctic Crunchers team.
For more information, please see the Official Announcement.
On 7 February 2021, 18:01:10 UTC, PrimeGrid's The Riesel Problem project eliminated k=9221 by finding the Mega Prime
9221·211392194-1
The prime is 3,429,397 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 44 th overall. This is PrimeGrid's 17th elimination. 47 k's now remain.
The discovery was made by Barry Schnur ( BarryAZ) of the United States using an AMD Ryzen 5 2600 Six-Core Processor with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition.
This computer took about 2 days, 29 minutes to complete the primality test using LLR2. Barry Schnur is a member of the BOINC Synergy team.
For more information, please see the Official Announcement.
Other significant primes
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News 
Once In A Blue Moon Challenge starts August 12
The sixth challenge of the 2021 Series will be a 10-day challenge leading up to a relatively rare astronomical event called a blue moon. The challenge will be offered on the PSP-LLR application, beginning 12 August 20:00 UTC and ending 22 August 20:00 UTC.
To participate in the Challenge, please select only the Prime Sierpinski Problem LLR (PSP) project in your PrimeGrid preferences section.
For more info, check out the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9720&nowrap=true#151032
Best of luck!
10 Aug 2021 | 5:04:48 UTC
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World Emoji Day Challenge starts July 17th
The fifth challenge of the 2021 Series will be a 3-day challenge in celebration of what is arguably the internet's most momentous and culturally significant holiday: World Emoji Day. The challenge will be offered on the GFN-17-Low subproject, beginning 17 July 22:00 UTC and ending 20 July 22:00 UTC.
To participate in the Challenge, please select only the GFN-17-Low subproject in your PrimeGrid preferences section.
For more info, check out the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9706&nowrap=true#150796
Best of luck!
15 Jul 2021 | 5:23:34 UTC
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DIV Mega Prime! (Belated Posting)
On 1 March 2021, 02:47:51 UTC, PrimeGrid's Fermat Divisor Search found the Mega Prime:
25*2^8788628+1
The prime is 2,645,643 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 75th overall.
The discovery was made by Tom Greer (tng) of the United States using an Authentic AMD Ryzen 9 5950X CPU @ 4.90GHz with 32GB RAM, running Microsoft Windows 10 Professional. This computer took about 2 hours and 46 minutes to complete the primality test using LLR2. Tom Greer is a member of the Antarctic Crunchers team.
For more details, please see the official announcement.
1 Jul 2021 | 19:48:36 UTC
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PrimeGrid's 16th Birthday Challenge starts June 12
The fourth challenge of the 2021 Series will be a 5-day challenge celebrating the 16th anniversary of the launch of PrimeGrid on BOINC. The challenge will be offered on the ESP-LLR application, beginning 12 June 13:00 UTC and ending 17 June 13:00 UTC.
To participate in the Challenge, please select only the Extended Sierpinski Problem LLR (ESP) project in your PrimeGrid preferences section.
For more information, check out the forum thread for this challenge:
https://www.primegrid.com/forum_thread.php?id=9684&nowrap=true#150570
Best of luck!
9 Jun 2021 | 13:46:42 UTC
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Yuri's Night Challenge starts April 11th
The third challenge of the 2021 Series will be a 3-day challenge celebrating the 60th anniversary of Yuri Gagarin's history-making venture into outer space. The challenge will be offered on the WW application, beginning 11 April 18:00 UTC and ending 14 April 18:00 UTC.
This is a relatively new subproject here at PrimeGrid, and there are currently no known Wall–Sun–Sun primes! You could be the first to find one!
To participate in the Challenge, please select only the Wieferich and Wall-Sun-Sun Prime Search (WW) project in your PrimeGrid preferences section.
Questions? Queries? Quips? Discuss on the forum thread for this challenge. Best of luck!
8 Apr 2021 | 15:32:42 UTC
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Newly reported primes(Mega-primes are in bold.)
6381649749387*2^1290000-1 (tng); 6381528626205*2^1290000-1 (reiner); 933*2^3091825+1 (288larsson); 9065*2^3378851+1 (Bernd Mollerus); 2369*2^3378761+1 (Ryan Propper); 133048112^65536+1 (candido); 6371253013155*2^1290000-1 (tng); 255620682^32768+1 (beslade); 6378219897315*2^1290000-1 (tng); 255526464^32768+1 (Monkeydee); 3359*2^1644541+1 (Terminator); 6376016650815*2^1290000-1 (iimurajp); 6373596604455*2^1290000-1 (Charles Jackson); 6364863532167*2^1290000-1 (tng); 132970814^65536+1 (YuW3-810); 5723*2^1644549+1 (Randall J. Scalise); 4883*2^1644537+1 (Buckeye74); 6370319271855*2^1290000-1 (jhwells); 6365701939077*2^1290000-1 (tng); 255274268^32768+1 (beslade) Top Crunchers:Top participants by RAC | Top teams by RAC |
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