Found with PFGW Version 3.5.2

76^8595-75 is 2-PRP! (14.7914s+0.0044s)
76^8595-75 is 3-PRP! (18.4179s+0.0059s)
76^8595-75 is 5-PRP! (18.5553s+0.0055s)
76^8595-75 is 7-PRP! (19.7606s+0.0064s)
76^8595-75 is 11-PRP! (18.2387s+0.0073s)

Primality testing 76^8595-75 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 13
Running N+1 test using discriminant 37, base 12+sqrt(37)
Calling N-1 BLS with factored part 0.07% and helper 0.00% (0.20% proof)
76^8595-75 is Fermat and Lucas PRP! (148.7328s+0.0276s)

To be completed...