1st PRP for 2^n-82363.

Sieved to P=200G.

Primality testing 2^39161-82363 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 37
Running N-1 test using base 43
Running N-1 test using base 59
Running N+1 test using discriminant 73, base 1+sqrt(73)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.14% proof)
2^39161-82363 is Fermat and Lucas PRP! (112.2149s+0.0070s)

To be completed...