Verified Fermat and Lucas PRP by pfgw.

Primality testing 10^25733-2*25733-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 5, base 5+sqrt(5)
Calling N-1 BLS with factored part 0.11% and helper 0.01% (0.35% proof)
10^25733-2*25733-1 is Fermat and Lucas PRP! (154.8533s+0.0013s)
Primality testing 10^37501-2*37501-1 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 5
Running N+1 test using discriminant 17, base 3+sqrt(17)
Calling N+1 BLS with factored part 0.03% and helper 0.00% (0.10% proof)
10^37501-2*37501-1 is Fermat and Lucas PRP! (595.5700s+0.0024s)

To be completed...