Found with PFGW Version 3.7.5

8658^9209-9209^8658 is 2-PRP! (23.3318s+0.0018s)
8658^9209-9209^8658 is 3-PRP! (23.3080s+0.0018s)
8658^9209-9209^8658 is 5-PRP! (23.3080s+0.0019s)
8658^9209-9209^8658 is 7-PRP! (23.3024s+0.0019s)
8658^9209-9209^8658 is 11-PRP! (23.3484s+0.0018s)

Primality testing 8658^9209-9209^8658 [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 0.04% and helper 0.02% (0.14% proof)
8658^9209-9209^8658 is Fermat and Lucas PRP! (116.1144s+0.0030s)

To be completed...