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 2011-02-09, 08:18 #1 engracio     May 2007 11110012 Posts 2^9092392+40291 is a probable prime! Well guys it was nice while it lasted. Pending on more rigorous testing by Phil, we have BUSTED nummer funf. I thought I might post this prior to more verification to let others go on to other projects on their queue.
 2011-02-09, 08:50 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 22·7·331 Posts
 2011-02-09, 09:11 #3 enderak     Feb 2009 3·13 Posts Nice! Congrats engracio! Just for grins I am double-checking this (I am sure several others will be as well.) It should be done by early Wednesday afternoon. Hopefully not everyone will switch over to other projects - we'll need help with the double-check effort now!
 2011-02-09, 13:01 #4 akruppa     "Nancy" Aug 2002 Alexandria 2,467 Posts Awesome. Congrats to Phil and all contributors. I'll try to get a few factors out of 2^9092392+40290 so we can make a somewhat stronger PRP test.
 2011-02-09, 15:25 #5 firejuggler     Apr 2010 Over the rainbow 23·32·5·7 Posts Code: [Wed Feb 09 16:18:52 2011] ECM found a factor in curve #1, stage #1 Sigma=7978179970243502, B1=1000, B2=100000. UID: firejuggler, 2^29092392+40290 has a factor: 108661946 108661946= 2*43*1263511
2011-02-09, 15:50   #6
axn

Jun 2003

10010111100102 Posts

Quote:
 Originally Posted by firejuggler Code: [Wed Feb 09 16:18:52 2011] ECM found a factor in curve #1, stage #1 Sigma=7978179970243502, B1=1000, B2=100000. UID: firejuggler, 2^29092392+40290 has a factor: 108661946 108661946= 2*43*1263511
Wrong one.

 2011-02-09, 15:53 #7 firejuggler     Apr 2010 Over the rainbow 23·32·5·7 Posts shoot, wrong one.
 2011-02-09, 16:28 #8 Cybertronic     Jan 2007 DEUTSCHLAND ! 22×3×23 Posts RESPECT GUYS !!!!! Also , today was found the first known 19-tuplet !!! 630134041802574490482213901 + d, d = 0, 6, 10, 16, 18, 22, 28, 30, 36, 42, 46, 48, 52, 58, 60, 66, 70, 72, 76 by Raanan Chermoni & Jaroslaw Wroblewski Last fiddled with by Cybertronic on 2011-02-09 at 16:30
 2011-02-09, 17:35 #9 mdettweiler A Sunny Moo     Aug 2007 USA (GMT-5) 3·2,083 Posts Wowsers! Big congratulations on what is (from what I gather) a very unexpectedly-early prime! This project has definitely had more than its share of "good luck" (statistically speaking ) throughout. Makes you wonder if there's some property of these numbers that causes some conjectures to produce well above expectations (and others, well below, as we've observed at CRUS); if so, then it bodes well for Riesel base 6, which has had almost Five or Bust-like "luck" thusfar and is now down to two k's (one of which is extremely low weight and is supposed to take decades to find a prime for). Meanwhile, though...
 2011-02-09, 17:41 #10 philmoore     "Phil" Sep 2002 Tracktown, U.S.A. 2·13·43 Posts Awesome! Thanks for going ahead and posting this, Engracio. I am going to suggest abandoning any prp tests above this exponent. I see unconnected, paleseptember, engracio, and I have the only unfinished tests below it. Assuming that it checks out (and it almost certainly will) it would be nice to get a complete set of residues for an eventual double-check. John Blazek and Mark Rodenkirch had just set up PRPNET to start some double-checking, so this development took me by surprise. I have some strong prp tests running, and will keep you posted as they come in. Last fiddled with by philmoore on 2011-02-16 at 07:53
2011-02-09, 21:06   #11
Jeff Gilchrist

Jun 2003

116910 Posts

Quote:
 Originally Posted by engracio Well guys it was nice while it lasted. Pending on more rigorous testing by Phil, we have BUSTED nummer funf. I thought I might post this prior to more verification to let others go on to other projects on their queue.
Congrats engracio! I grabbed the numbers before and after yours, unlucky again.

Yay, we found the last one, that is great. I will stop my clients for now as well.

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