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Old 2011-02-09, 08:18   #1
engracio
 
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Default 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.
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Old 2011-02-09, 08:50   #2
Batalov
 
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Old 2011-02-09, 09:11   #3
enderak
 
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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!
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Old 2011-02-09, 13:01   #4
akruppa
 
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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.
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Old 2011-02-09, 15:25   #5
firejuggler
 
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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
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Old 2011-02-09, 15:50   #6
axn
 
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Quote:
Originally Posted by firejuggler View Post
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.
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Old 2011-02-09, 15:53   #7
firejuggler
 
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shoot, wrong one.
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Old 2011-02-09, 16:28   #8
Cybertronic
 
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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
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Old 2011-02-09, 17:35   #9
mdettweiler
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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...
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Old 2011-02-09, 17:41   #10
philmoore
 
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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
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Old 2011-02-09, 21:06   #11
Jeff Gilchrist
 
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Quote:
Originally Posted by engracio View Post
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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