Primality testing 31267^34782-34782^31267 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N-1 test using base 19
Running N+1 test using discriminant 29, base 4+sqrt(29)
Calling N-1 BLS with factored part 0.00% and helper 0.00% (0.02% proof)
31267^34782-34782^31267 is Fermat and Lucas PRP! (1434.9786s+0.0039s)

Sieved with xyyxsieve

To be completed...