Found with PFGW Version 3.7.5

8245^8714-8714^8245 is 2-PRP! (22.5724s+0.0018s)
8245^8714-8714^8245 is 3-PRP! (22.3553s+0.0018s)
8245^8714-8714^8245 is 5-PRP! (22.2616s+0.0018s)
8245^8714-8714^8245 is 7-PRP! (21.5820s+0.0016s)
8245^8714-8714^8245 is 11-PRP! (21.9795s+0.0017s)

Primality testing 8245^8714-8714^8245 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 7+sqrt(11)
Calling N+1 BLS with factored part 0.04% and helper 0.02% (0.13% proof)
8245^8714-8714^8245 is Fermat and Lucas PRP! (109.4303s+0.0026s)

To be completed...