Sieved to 2^32 with NewPGen 2.82.

Tested with PFGW 3.7.10:
Primality testing 2^68040+7095 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.07% and helper 0.05% (0.27% proof)
2^68040+7095 is Fermat and Lucas PRP! (45.2940s+0.0020s)

To be completed...