GQ(1148729) is PRP!

Cruelty · 2007-03-28, 05:48

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)

Kosmaj · 2007-03-28, 06:09

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...

Cruelty · 2007-03-28, 07:28

Quote:

Originally Posted by Kosmaj

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"

Citrix · 2007-03-28, 08:00

Congratulations.

kuratkull · 2007-03-28, 08:52

Cruelty, 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

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

Let's look and see

Cruelty · 2007-03-29, 16:35

Yep. I am the first in terms of score

2007-03-28, 08:52	#5
kuratkull Mar 2007 Estonia 8E₁₆ Posts	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

2007-03-28, 09:24	#6
Cruelty May 2005 2³×7×29 Posts	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

2007-03-28, 06:09	#2
Kosmaj Nov 2003 3622₁₀ Posts	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...

2007-03-28, 08:00	#4
Citrix Jun 2003 2·7·113 Posts	Congratulations.

2007-03-28, 23:24	#7
Kosmaj Nov 2003 2×1,811 Posts	After your latest PRP is taken into account, you will most likely become top PRP "disoverer" by-score :surprised Let's look and see

2007-03-29, 16:35	#8
Cruelty May 2005 2³·7·29 Posts	Yep. I am the first in terms of score