Found with PFGW Version 3.7.5

8601^9320-9320^8601 is 2-PRP! (23.6111s+0.0018s)
8601^9320-9320^8601 is 3-PRP! (23.5813s+0.0019s)
8601^9320-9320^8601 is 5-PRP! (23.5745s+0.0017s)
8601^9320-9320^8601 is 7-PRP! (23.5804s+0.0018s)
8601^9320-9320^8601 is 11-PRP! (23.6262s+0.0022s)

Primality testing 8601^9320-9320^8601 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 3+sqrt(23)
Calling N-1 BLS with factored part 0.03% and helper 0.00% (0.08% proof)
8601^9320-9320^8601 is Fermat and Lucas PRP! (166.7422s+0.0154s)

To be completed...