PFGW:
Primality testing 10^100000+5113299 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.02% and helper 0.01% (0.08% proof)
10^100000+5113299 is Fermat and Lucas PRP! (6489.6660s+0.1555s)
Primality testing 10^100000+5169411 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 3
Running N+1 test using discriminant 23, base 2+sqrt(23)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.06% proof)
10^100000+5169411 is Fermat and Lucas PRP! (8335.4284s+0.0068s)

To be completed...