20110114, 07:07  #1 
May 2005
2^{2}·11·37 Posts 
2^16673212^833661+1 (501914 digits) Gaussian Mersenne norm 38

20110117, 04:28  #2 
Nov 2003
2×1,811 Posts 
Cruelty
Congrats on a nice prime! Can you share exe times, hardware details with us. Thanks. 
20110120, 13:10  #3 
May 2005
2^{2}×11×37 Posts 
Thanks!
The search runs on single core of C2Q @ 3GHz. Single test using LLR takes ~4800 sec. 
20110120, 13:15  #4 
May 2005
2^{2}×11×37 Posts 
Well, here comes 6th largest PRP @ 502485 digits ;)
(2^16692192^834610+1)/5 is 5PRP, originally found using LLR ver.3.8.4 for Windows (no factor till 2^54). This is a Fermat PRP at base 3, 5, 7, 11, 13, 31, 101, 137  confirmed with PFGW ver.3.4.4 for Windows (32bit). Additionally using the following command with PFGW: pfgw l tc q(2^16692192^834610+1)/5 I've received the following result: Code:
Primality testing (2^16692192^834610+1)/5 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 2 Running N1 test using base 5 Running N1 test using base 7 Running N1 test using base 11 Running N1 test using base 19 Running N1 test using base 29 Running N+1 test using discriminant 37, base 2+sqrt(37) Calling N1 BLS with factored part 0.02% and helper 0.00% (0.07% proof) (2^16692192^834610+1)/5 is Fermat and Lucas PRP! (229144.7431s+0.0642s) 