Found with PFGW Version 3.7.5

8106^9553-9553^8106 is 2-PRP! (26.4825s+0.0018s)
8106^9553-9553^8106 is 3-PRP! (25.7679s+0.0017s)
8106^9553-9553^8106 is 5-PRP! (26.8061s+0.0017s)
8106^9553-9553^8106 is 7-PRP! (25.6561s+0.0018s)
8106^9553-9553^8106 is 11-PRP! (25.8809s+0.0022s)

Primality testing 8106^9553-9553^8106 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.12% proof)
8106^9553-9553^8106 is Fermat and Lucas PRP! (148.1852s+0.0030s)

To be completed...