Primality testing 31193^38966-38966^31193 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.02% proof)
31193^38966-38966^31193 is Fermat and Lucas PRP! (1209.1299s+0.0030s)

Sieved with xyyxsieve

To be completed...