Found with PFGW Version 3.7.5

8315^8894-8894^8315 is 2-PRP! (22.5724s+0.0018s)
8315^8894-8894^8315 is 3-PRP! (22.5971s+0.0018s)
8315^8894-8894^8315 is 5-PRP! (22.6997s+0.0017s)
8315^8894-8894^8315 is 7-PRP! (22.6965s+0.0018s)
8315^8894-8894^8315 is 11-PRP! (22.7661s+0.0016s)

Primality testing 8315^8894-8894^8315 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.04% and helper 0.02% (0.15% proof)
8315^8894-8894^8315 is Fermat and Lucas PRP! (112.2876s+0.0026s)

To be completed...