PrimeGrid’s
Generalized Fermat Prime Search
On 13 April 2024, 03:42:53 UTC, PrimeGrid's Generalized Fermat Prime Search foundthe Mega Prime:8630170524288 + 1
The prime is 3,636,472 digits long and will enter “The Largest Known Primes Database”(https://t5k.org/primes) ranked 11th for Generalized Fermat primes and 83rd overall.
The discovery was made by Antonio Lucendo of Spain using a dual CPU AMD EPYC
7B13 64-Core Processor @ 2.20GHz with 173GB RAM, running Ubuntu 22.04.3 LTS.
This computer took about 4 hours, 45 minutes to complete the probable prime (PRP)
test using Genefer22. Antonio Lucendo is a member of the XtremeSystems team.
The PRP was confirmed prime on 14 April 2024 by an AMD Ryzen 9 7950X3D @4.2GHz, running Debian 12.5. This computer took about 26 hours, 11 minutes tocomplete the primality test using LLR.
The credits for the discovery are as follows:
1.
2.
3.
4.
5.
6.

Antonio Lucendo (Spain), discoverer
PrimeGrid, et al.
AthGFNSieve, sieve program developed by David Underbakke
GFNSvCUDA, sieve program developed by Anand Nair
Genefer22, 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=137963
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/orcomputing 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 Cholt
and 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’sGeneralized 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 singleprogram. 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