PrimeGrid: World Record Generalized Fermat Prime

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On 19 Nov 2011 14:03:58, PrimeGrid’s PRPNet found the largest known Generalized Fermat mega prime: 75898^524288+1 The prime is 2,558,647 digits long and enters Chris Caldwell's The Largest Known Primes Database (http://primes.utm.edu/primes) ranked 1st for Generalized Fermat Primes (http://primes.utm.edu/top20/page.php?id=12) and 13th overall. This is the first prime found at N=524288. The discovery was made by Michael Goetz of the United States using an NVIDIA GeForce GTX 460 in an Intel Core2 Q6600 @ 2.4GHz system with 8GB RAM, running 64 bit Windows 7. This GPU took just under 5 hours to probable prime (PRP) test with GenefCUDA. The CPU completed the primality test using pfgw64 in a little over 8 days! Michael is a member of the SETI.USA (http://www.primegrid.com/team_display.php?teamid=189) team. More details to come...

More... (http://www.primegrid.com/forum_thread.php?id=3761)

[Duke of Buckingham]

Congratulations Michael Goetz for your Prime Number. You must be very happy with that achievement. And Congratulations to Seti USA for having Michael in your Team.


http://www.halfpricefireworks.com/pages_blocks_v3/images/links/international_fireworks_2_b.jpg

[coronicus]

WOOT GRATS....

[DrPop]

Sweetness! Go Michael and GO SETI.USA! :cool:

[Mike029]

Congrats to Mike. Perhaps an Admin could send him a personal congrats on the PG site or email. Then invite him to stop by the forums <:-P so we could all slap him on the back. \m/

[Fire$torm]

This is fantastic! WTG Mike G.

[Duke of Buckingham]

I received this message from our friend Michael Goetz and I ask to any Admin to open the forum to Michael:

Thanks for the congrats.

I've been trying to reply on this thread, but I guess I've never written anything here before so I was not registered and still need to wait for my account to get posting privileges from the admins.

I just wanted to say thank you to everyone for the kind words.

It was a a heck of a find, but I'm merely the lucky one who was at the right place at the right time. The number of people who contributed to this -- much more than I did -- is extensive. It's a team effort.

Mike

Thanks Mike you are always welcome. I think some Admin will correct the Forum problem.

[Fire$torm]

I received this message from our friend Michael Goetz and I ask to any Admin to open the forum to Michael:

Thanks for the congrats.

I've been trying to reply on this thread, but I guess I've never written anything here before so I was not registered and still need to wait for my account to get posting privileges from the admins.

I just wanted to say thank you to everyone for the kind words.

It was a a heck of a find, but I'm merely the lucky one who was at the right place at the right time. The number of people who contributed to this -- much more than I did -- is extensive. It's a team effort.

Mike

Thanks Mike you are always welcome. I think some Admin will correct the Forum problem.

Yeah Duke, He sent me the same PM. Sorry I spaced it out. He is now registered and now a "Team Member". Enjoy.

[Michael Goetz]

Thanks everyone, it's a big find, and everyone who contributed -- with math theory, programming, sieving, and PRP tests -- had a part in finding that number. My only skill was being lucky.

Now for the fun part -- with such short run-times on the two GFNs that were found with GeneferCUDA, lots of people had the same thought: Can we up the ante a bit and try to get not just a new world record GFN prime, but a world record prime? For many years, the largest prime has been a Mersenne prime, and for good reason: those are the easiest to search for. In fact, right now, not only is the largest known prime a Mersenne prime, but the largest 9 primes are all Mersenne primes.

There may be an opportunity here to find a GFN that's an even larger prime. If anyone is interested, hop on over to this thread (http://www.primegrid.com/forum_thread.php?id=3771).

[Fire$torm]

MG, thanks for the link. Cool stuff.

And BTW: If you ever find Stampede on eBay, I'd be willing to go in with you for half...... :D

[Mike029]

Thanks everyone, it's a big find, and everyone who contributed -- with math theory, programming, sieving, and PRP tests -- had a part in finding that number. My only skill was being lucky.

Now for the fun part -- with such short run-times on the two GFNs that were found with GeneferCUDA, lots of people had the same thought: Can we up the ante a bit and try to get not just a new world record GFN prime, but a world record prime? For many years, the largest prime has been a Mersenne prime, and for good reason: those are the easiest to search for. In fact, right now, not only is the largest known prime a Mersenne prime, but the largest 9 primes are all Mersenne primes.

There may be an opportunity here to find a GFN that's an even larger prime. If anyone is interested, hop on over to this thread (http://www.primegrid.com/forum_thread.php?id=3771).

Glad you stopped in. Sorry my mailbox was full. Cleared it out. WTG!!!