Found with PFGW Version 3.7.5

6196^9495-9495^6196 is 2-PRP! (22.6735s+0.0015s)
6196^9495-9495^6196 is 3-PRP! (23.2493s+0.0015s)
6196^9495-9495^6196 is 5-PRP! (23.4774s+0.0015s)
6196^9495-9495^6196 is 7-PRP! (23.1848s+0.0016s)
6196^9495-9495^6196 is 11-PRP! (23.3280s+0.0014s)

Primality testing 6196^9495-9495^6196 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
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 0.02% (0.18% proof)
6196^9495-9495^6196 is Fermat and Lucas PRP! (139.1976s+0.0023s)

To be completed...