Found with PFGW Version 3.7.5

4310^8147-8147^4310 is 2-PRP! (29.7012s+0.0023s)
4310^8147-8147^4310 is 3-PRP! (33.5677s+0.0025s)
4310^8147-8147^4310 is 5-PRP! (27.0341s+0.0021s)
4310^8147-8147^4310 is 7-PRP! (28.8496s+0.0024s)
4310^8147-8147^4310 is 11-PRP! (33.7332s+0.0028s)

Primality testing 4310^8147-8147^4310 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 10+sqrt(7)
Calling N-1 BLS with factored part 0.06% and helper 0.02% (0.20% proof)
4310^8147-8147^4310 is Fermat and Lucas PRP! (179.5501s+0.0038s)

To be completed...