PrimeGrid’s
Generalized Fermat Prime Search
On 22 June 2024, 23:51:45 UTC, PrimeGrid's Generalized Fermat Prime Search foundthe Mega Prime:9332124524288 + 1
The prime is 3,654,278 digits long and will enter “The Largest Known Primes Database”(https://t5k.org/primes) ranked 12th for Generalized Fermat primes and 84th overall.
The discovery was made by Detlef Lexut of Germany using an NVIDIA GeForce RTX
3090 in an Intel(R) Core(TM) i9-10940X CPU @ 3.30GHz with 64GB RAM, running
Microsoft Windows 11 Professional x64 Edition. This computer took about 27 minutes tocomplete the probable prime (PRP) test using Genefer23. Detlef Lexut is a member ofthe SETI.Germany team.
The PRP was confirmed prime on 23 June 2024 by an AMD Ryzen 9 5950X @ 3.4GHz
with 128GB RAM, running Linux Mint 20.3. This computer took about 15 hours, 43
minutes to complete the primality test using LLR.
The credits for the discovery are as follows:
1.
2.
3.
4.
5.
6.

Detlef Lexut (Germany), discoverer
PrimeGrid, et al.
AthGFNSieve, sieve program developed by David Underbakke
GFNSvCUDA, sieve program developed by Anand NairGenefer23, probable prime program developed by Yves Gallot
LLR, primality program developed by Jean Penné

Entry in “The Largest Known Primes Database” can be found here:
https://t5k.org/primes/page.php?id=138244
Using a single PC would have taken years to find this prime. So this timely discovery
would not have been possible without the hundreds of volunteers who contributed theirspare CPU cycles. A special thanks to everyone who offered their advice and/or
computing power to the search - especially Yves Gallot, Iain Bethune, David
Underbakke, Anand Nair, Mark Rodenkirch and Geoff Reynolds who were major forcesin moving the project forward. Also, thank you to all the sievers, especially Honza Choltand Jim Breslin. A final thanks to Michael Goetz for porting to BOINC.
The Generalized Fermat Prime Search will continue to seek even larger primes. To join
the search please visit PrimeGrid: https://www.primegrid.com

PrimeGrid’s
Generalized Fermat Prime Search

About PrimeGrid
PrimeGrid is a distributed computing project, developed by Rytis Slatkevičius andcurrently managed by Tyler Bredl, Scott Brown, Michael Goetz, Darren Li, Dao Heng Liu,Reginald McLean, Rytis Slatkevičius, Roman Trunov, and Christian Wallbaum.
PrimeGrid utilizes BOINC to search for primes with the primary goal of bringing theexcitement of prime finding to the "everyday" computer user. Simply download thesoftware and let your computer do the rest. Participants can choose from a variety ofprime forms to search. With a little patience, you may find a large or even recordbreaking prime.
BOINC
The Berkeley Open Infrastructure for Network Computing (BOINC) is a software
platform for distributed computing using volunteered computer resources. It allows
users to participate in multiple distributed computing projects through a single
program. Currently BOINC is being developed by a team based at the University ofCalifornia, Berkeley led by David Anderson.
This platform currently supports projects from biology to math to astronomy. For
more information, please visit BOINC: https://boinc.berkeley.edu/
For more information about PrimeGrid and a complete list of available prime search
projects, please visit: https://www.primegrid.com