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 as
a Titan!
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.
- 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 Prime Sierpinski Project solve the Prime Sierpinski Problem.
- Proth Prime Search: searching for primes of the form k·2n+1.
- 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.
Recent Significant Primes
On 5 June 2018, 05:24:10 UTC, PrimeGrid's Generalized Fermat Prime Search found the Generalized Fermat mega prime:
5152128262144+1
The prime is 1,759,508 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 8 th for Generalized Fermat primes and 60 th overall.
The discovery was made by Rob Gahan ( Robish) of Ireland
using an NVIDIA GeForce GTX Titan X in an Intel(R) Core(TM) i7-5930K CPU at 3.50GHz with 32GB RAM, running Windows 10 Core Edition.
This GPU took about 25 minutes to complete the probable prime (PRP) test using GeneferOCL3.
Rob is a member of the Storm team.
The PRP was internally confirmed prime by PrimeGrid using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional.
This computer took about 7 hours and 11 minutes to complete the primality test using multithreaded LLR.
For more information, please see the Official Announcement.
On 3 April 2018, 15:55:55 UTC, PrimeGrid's Extended Sierpinski Problem found the mega prime:
193997·211452891+1
The prime is 3,447,670 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 23 rd overall.
This is the first k eliminated from the Extended Sierpinski Problem in over three years. 10 k's remain..
The discovery was made by Tom Greer ( tng*) of the United States
using an Intel(R) Xeon(R) E5-2620 v3 CPU @ 2.40GHz with 16GB RAM, running Microsoft Windows 10.
This computer took about 3 hours and 45 minutes to complete the primality test using multithreaded LLR.
Tom is a member of the Sicituradastra. team.
For more information, please see the Official Announcement.
On 21 March 2018, 22:13:39 UTC, PrimeGrid's Woodall Prime Search found the largest known Woodall prime:
17016602·217016602-1
The prime is 5,122,515 digits long and enters Chris Caldwell's The Largest Known Primes Database
ranked 1 st for Woodall primes and 16 th overall.
This is the 4 th largest prime found by PrimeGrid, the 4 th Woodall prime found by PrimeGrid, and the first Woodall prime found since December, 2007.
The discovery was made by Diego Bertolotti ( ScOrPIoN) of Italy
using an Intel(R) Core(TM) i7-2600 CPU at 3.40GHz with 8GB RAM, running Microsoft Windows 10.
This computer took about 4 days, 6 hours and 14 minutes to complete the primality test using LLR.
Diego is a member of the Boinc @ Italy team.
For more information, please see the Official Announcement.
Other significant primes
5205422262144+1 (GFN):
official announcement pending | Generalized Fermat Prime
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News 
World Cup Challenge
Kick off for the first World Cup match is almost here, but we've started the World Cup Challenge on the SR5 (LLR) project. Come join us and see if you can score a goal!
5 day Challenge ends 19th June 2018, 00:00 UTC. Work units which are downloaded and completed during the challenge will count towards your challenge score.
For more information, questions and friendly banter, please join us in this thread. May the best team win!
14 Jun 2018 | 11:10:25 UTC
· Comment
GFN-262144 Mega Prime!
On 5 June 2018, 05:24:10 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime:
5152128^262144+1
The prime is 1,759,508 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 8th for Generalized Fermat primes and 60th overall.
The discovery was made by Rob Gahan (Robish) of Ireland using an NVIDIA GeForce GTX Titan X in an Intel(R) Core(TM) i7-5930K CPU at 3.50GHz with 32GB RAM, running Windows 10 Core Edition. This GPU took about 25 minutes to probable prime (PRP) test with GeneferOCL3. Rob is a member of the Storm team.
The prime was verified on 5 June 2018, 05:43:47 by Aaron Houston Clinton (denim) of the United States using an NVIDIA GeForce GTX 1080 Ti GPU in an Intel(R) Core(TM) i7-6700K CPU at 4.00GHz with 16GB RAM, running Windows 10 Professional Edition. This GPU took about 13 minutes to probable prime (PRP) test with GeneferOCL3. Aaron is a member of the SETI.USA team.
The PRP was confirmed prime by an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional. This computer took about 7 hours 11 minutes to complete the primality test using LLR.
For more details, please see the official announcement.
6 Jun 2018 | 21:39:58 UTC
· Comment
Do not use Nvidia driver 397.31
It has come to my attention that Nvidia recently released a new video driver that is causing widespread problems. 397.31 seems to cause the GPU to become inaccessible to both CUDA and OpenCL programs after a while, and can only be reset by rebooting the computer. It's likely this affects all BOINC projects and not just PrimeGrid. Indeed, it probably affects all GPU programs, even those that don't run under BOINC. There's a newer, hotfix driver 397.55 which seems to correct the problem. I strongly recommend either upgrading to 397.55 or rolling back to a driver earlier than 397.31.
More information can be found here.
6 May 2018 | 13:26:37 UTC
· Comment
New LLR apps
We have upgraded the version of LLR used on all of our LLR projects to LLR v.3.8.21.
As with the previous version of LLR, it is available in 32 and 64 bit versions for Windows and Linux, and 64 bits for Mac OS.
This release has two major features:
* Support for AVX/FMA3 on AMD Ryzen CPUs. You can expect about a 10% increase in speed on Ryzen processors as compared to earlier versions of LLR.
* A rare bug that sometimes caused errors when using multithreading has been corrected.
If you are using app_info.xml (aka anonymous platform) please upgrade to the latest LLR. The wrapper is unchanged. Upgrading is not mandatory, but is strongly recommended.
If you are not using app_info.xml, you will automatically get the new version with your next LLR task and no action is necessary on your part. If you're not sure if you're using app_info.xml you're almost certainly not using it, and no action is necessary.
17 Apr 2018 | 3:57:25 UTC
· Comment
ESP Mega Prime!
On 3 April 2018, 15:55:55 UTC, PrimeGrid’s Extended Sierpinski Problem Prime Search project found the Mega Prime:
193997*2^11452891+1
The prime is 3,447,670 digits long and will enter Chris Caldwell's The Largest Known Primes Database ranked 23th overall. This find eliminates k=193997; 10 k's remain in the Extended Sierpinski Problem.
The discovery was made by Tom Greer (tng*) of the United States using an Intel(R) Xeon(R) E5-2620 v3 CPU @ 2.40GHz with 16GB RAM, running Microsoft Windows 10. This computer took about 3 hours 45 minutes to complete the primality test using multithreaded LLR. Tom is a member of the Sicituradastra. team.
The prime was verified on 4 April 2018, 00:17:20 UTC by Gary Bauer (GDB) of the United States using an Intel(R) Core(TM) i7-8700K CPU @ 3.70GHz with 16GB RAM, running Microsoft Windows 10. This computer took about 2 hours 25 minutes to complete the primality test using multithreaded LLR.
For more details, please see the official announcement.
5 Apr 2018 | 20:35:05 UTC
· Comment
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Newly reported primes93822920^32768+1 (Fire$torm [BlackOps]); 1171*2^2595736+1 (Randall J. Scalise); 93768930^32768+1 (Adrian Schori); 4008014234385*2^1290000-1 (Bernd Mollerus); 4006854424527*2^1290000-1 (Kai Ylijoki); 51872628^131072+1 (DeleteNull); 1769*2^1494163+1 (Gary Lowder); 93583888^32768+1 (Adrian Schori); 93577266^32768+1 (Dr.Klahn); 4001911972347*2^1290000-1 (Vincent Dark); 93544108^32768+1 (Kellen); 4004697980307*2^1290000-1 (Artist); 4003375164747*2^1290000-1 (Van Zimmerman); 4001387164575*2^1290000-1 (Van Zimmerman); 93495032^32768+1 (Adrian Schori); 4004227849827*2^1290000-1 (Van Zimmerman); 93472028^32768+1 (Eudy Silva); 4003703541075*2^1290000-1 (Dad); 93449606^32768+1 (Kellen); 6555*2^1493525+1 (I-Warez) Last 24 hoursTop participants by work done in the last 24 hours | Top teams by work done in the last 24 hours |
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