PFGW:
Primality testing 12831!2-512 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.07% proof)
12831!2-512 is Fermat and Lucas PRP! (144.1318s+0.0349s)

To be completed...