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2007-03-09, 18:09   #45
ET_
Banned

"Luigi"
Aug 2002
Team Italia

2·29·83 Posts

Quote:
 Originally Posted by Kosmaj Congrats on a huge prime!!
Hey, Paul, congrtulations!

But now, the question: are we still in search of a million digits prime, or do we stop, due to lack of resources?

Luigi

 2007-03-09, 18:53 #46 NEBOJSA     Sep 2005 7 Posts Thats great news congratulation Paul
 2007-03-10, 01:29 #47 paulunderwood     Sep 2002 Database er0rr 367410 Posts It has been re-verified at UTM. It's official. As Jean suggested, we shall continue searching. We might get good luck, soon -- please keep on crunching.
 2007-03-10, 06:55 #48 edorajh     Oct 2003 Croatia 7108 Posts Congratulations!! Really nice prime!!
 2007-03-10, 11:15 #49 davieddy     "Lucan" Dec 2006 England 2·3·13·83 Posts Excuse my ignorance, but how do you test for this prime?
 2007-03-10, 11:42 #50 paulunderwood     Sep 2002 Database er0rr 1110010110102 Posts I am not quite sure about what you mean. From the project's point of view we start with a list of candidates and eliminate them as quickly as possible, firstly by sieving the list and then, when sieving becomes slow, we move over to testing with LLR. From a mathematical point of view, proving the number prime is done by using the Lucas-Lehmer-Riesel algorithm [1], underpinned by fast IBDWT multiplication [2] and an excellent implementation in code. From your point of view, you can reserve a range to test here. [1] Riesel, H., Lucasian Criteria for the Primality of N = h · 2n − 1, Math. Comp. 23, 869–875 (1969) [2] Percival, C., Rapid multiplication modulo the sum and difference of highly composite numbers, Math. Comp. 72, 387 - 395 (2003) Last fiddled with by paulunderwood on 2007-03-11 at 12:55
 2007-03-10, 15:28 #51 justinsane   Mar 2004 418 Posts Wow congratulations. Amazing find!
 2007-03-10, 17:55 #52 em99010pepe     Sep 2004 B0E16 Posts Congratulations Paul!!!! Carlos
 2007-03-12, 09:38 #53 Thomas11     Feb 2003 22×32×53 Posts Congratulations Paul! That's a very nice prime! You always find them when I'm off-line for a few days... Good luck to all for our next (hopefully: million digits) prime! Last fiddled with by Thomas11 on 2007-03-12 at 09:39
2008-04-16, 21:06   #54
paulunderwood

Sep 2002
Database er0rr

2·11·167 Posts

I had word from John Blazek today that PrimeGrid found a 321 prime.

It was found as follows:

Quote:
 Finder Username: Jiran Account created: 20 Mar 2008 2:00:29 UTC PC specs: Intel C2D @ 1.66 GHZ with 2 GB RAM running Linux. Time: 55,753.70 seconds WU sent: 22 Mar 2008 5:31:23 UTC WU returned: 23 Mar 2008 7:57:28 UTC Double Check Username: Dave Pickles Account created: 4 Apr 2007 5:15:56 UTC PC specs: AMD Athlon XP 2500+ witn 512 MB RAM running Windows 2000 Time: 67,320.00 seconds WU sent: 27 Mar 2008 13:25:21 UTC WU returned: 2 Apr 2008 5:13:16 UTC BTW, they both are Canadians!!! :)
It will be submitted to the top5000 primes soon for verification and logging.

It has 1,274,988 decimal digits and was where we expected it to occur

The prime is 3*2^4235414-1

Thanks to all involved with this find

 2008-04-16, 21:50 #55 paulunderwood     Sep 2002 Database er0rr 1110010110102 Posts Here is the PrimePages entry. (It is being verified there at the moment.)

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