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-   -   GQ(1148729) is PRP! (https://www.mersenneforum.org/showthread.php?t=7665)

 Cruelty 2007-03-28 05:48

GQ(1148729) is PRP!

It has 345802 decimal digits and as of today is the largest known PRP :whistle:
(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.
[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)[/code]

 Kosmaj 2007-03-28 06:09

Congrats on a great PRP :w00t: improving your personal best!

But note that Jean-Louis Charton is closing the gap :shock:

Waiting for the update of the [URL="http://www.primenumbers.net/prptop/prptop.php"]top PRP page[/URL]...

 Cruelty 2007-03-28 07:28

[QUOTE=Kosmaj;102279]But note that Jean-Louis Charton is closing the gap :shock: [URL="http://www.primenumbers.net/prptop/prptop.php"]top PRP page[/URL]...[/QUOTE]Yes, I've just noticed it - it wasn't there an hour ago so it is also "fresh" :tu:

 Citrix 2007-03-28 08:00

Congratulations. :smile:

 kuratkull 2007-03-28 08:52

[URL="http://mersenneforum.org/member.php?u=1807"]Cruelty[/URL], what programs output is that?
Thanks.

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

 Cruelty 2007-03-28 09:24

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[/code]

 Kosmaj 2007-03-28 23:24

After your latest PRP is taken into account, you will most likely become top PRP "disoverer" by-score :surprised :cool: :w00t: Let's look and see :smile:

 Cruelty 2007-03-29 16:35

Yep. I am the first in terms of score :wink:

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