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Old 2007-03-28, 05:48   #1
Cruelty
 
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May 2005

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Default GQ(1148729) is PRP!

It has 345802 decimal digits and as of today is the largest known PRP
(2^1148729+2^574365+1)/5 is 11-PRP, originally found using LLR.
Confirmed with PFGW at following bases: 3, 5, 7, 11, 13, 17, 101, 137.
Additionally:
Code:
Primality testing (2^1148729+2^574365+1)/5 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 2+sqrt(17)
Running N+1 test using discriminant 17, base 3+sqrt(17)
Calling N-1 BLS with factored part 0.04% and helper 0.00% (0.12% proof)
(2^1148729+2^574365+1)/5 is Fermat and Lucas PRP! (115735.8716s+0.0024s)
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Old 2007-03-28, 06:09   #2
Kosmaj
 
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Congrats on a great PRP improving your personal best!

But note that Jean-Louis Charton is closing the gap

Waiting for the update of the top PRP page...
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Old 2007-03-28, 07:28   #3
Cruelty
 
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Quote:
Originally Posted by Kosmaj View Post
But note that Jean-Louis Charton is closing the gap top PRP page...
Yes, I've just noticed it - it wasn't there an hour ago so it is also "fresh"
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Old 2007-03-28, 08:00   #4
Citrix
 
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Congratulations.
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Old 2007-03-28, 08:52   #5
kuratkull
 
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Cruelty, what programs output is that?
Thanks.

And of course my congrats to you for the wonderful find :)

Last fiddled with by kuratkull on 2007-03-28 at 08:53
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Old 2007-03-28, 09:24   #6
Cruelty
 
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It is from OpenPFGW 1.2.0 for Windows using the following command:
Code:
pfgw -l -tc -a1 -q(2^1148729+2^574365+1)/5
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Old 2007-03-28, 23:24   #7
Kosmaj
 
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After your latest PRP is taken into account, you will most likely become top PRP "disoverer" by-score :surprised Let's look and see
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Old 2007-03-29, 16:35   #8
Cruelty
 
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Yep. I am the first in terms of score
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