Found with PFGW Version 3.7.5

96^31406+95 is 2-PRP! (22.0088s+0.0018s)
96^31406+95 is 3-PRP! (22.0101s+0.0019s)
96^31406+95 is 5-PRP! (22.3374s+0.0018s)
96^31406+95 is 7-PRP! (22.7307s+0.0017s)
96^31406+95 is 11-PRP! (22.3199s+0.0018s)

Primality testing 96^31406+95 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.05% and helper 0.01% (0.16% proof)
96^31406+95 is Fermat and Lucas PRP! (168.8068s+0.0019s)

To be completed...