1st PRP for 2^n-499543.
Sieved to P=200G.
Primality testing 2^45161-499543 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 103
Running N+1 test using discriminant 127, base 2+sqrt(127)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.09% proof)
2^45161-499543 is Fermat and Lucas PRP! (117.9561s+0.0060s)
To be completed...