Found with PFGW Version 3.6.0

96^8387-95 is 2-PRP! (4.4047s+0.0016s)
96^8387-95 is 3-PRP! (4.4406s+0.0016s)
96^8387-95 is 5-PRP! (4.2655s+0.0014s)
96^8387-95 is 7-PRP! (5.2976s+0.0014s)
96^8387-95 is 11-PRP! (4.2037s+0.0015s)

Primality testing 96^8387-95 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 17+sqrt(17)
Calling N-1 BLS with factored part 0.23% and helper 0.01% (0.71% proof)
96^8387-95 is Fermat and Lucas PRP! (28.5247s+0.0014s)

To be completed...