20070328, 05:48  #1 
May 2005
11001010010_{2} Posts 
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 11PRP, 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 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N1 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 N1 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) 
20070328, 06:09  #2 
Nov 2003
2×1,811 Posts 
Congrats on a great PRP improving your personal best!
But note that JeanLouis Charton is closing the gap Waiting for the update of the top PRP page... 
20070328, 07:28  #3  
May 2005
2×809 Posts 
Quote:


20070328, 08:00  #4 
Jun 2003
2×3^{3}×29 Posts 
Congratulations.

20070328, 09:24  #6 
May 2005
11001010010_{2} 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 
20070328, 23:24  #7 
Nov 2003
2×1,811 Posts 
After your latest PRP is taken into account, you will most likely become top PRP "disoverer" byscore :surprised Let's look and see

20070329, 16:35  #8 
May 2005
2·809 Posts 
Yep. I am the first in terms of score
