Primality testing (89^52511-88^52511)/(89-88) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 8+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.06% proof)
(89^52511-88^52511)/(89-88) is Fermat and Lucas PRP! (3754.4100s+0.0098s)
Primality testing (89^59221-88^59221)/(89-88) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 47
Running N-1 test using base 53
Running N+1 test using discriminant 73, base 18+sqrt(73)
Calling N-1 BLS with factored part 0.08% and helper 0.01% (0.25% proof)
(89^59221-88^59221)/(89-88) is Fermat and Lucas PRP! (5689.4615s+0.0115s)

To be completed...