PFGW:
Primality testing 6^55401+5^(55401-1) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 8+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.07% proof)
6^55401+5^(55401-1) is Fermat and Lucas PRP! (531.5146s+0.0038s)
Primality testing 6^89712+5^(89712-1) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.00% and helper 0.00% (0.01% proof)
6^89712+5^(89712-1) is Fermat and Lucas PRP! (1391.5507s+0.0064s)

To be completed...