Found with PFGW Version 3.7.5

8928^9413-9413^8928 is 2-PRP! (55.7861s+0.0048s)
8928^9413-9413^8928 is 3-PRP! (56.7111s+0.0044s)
8928^9413-9413^8928 is 5-PRP! (57.9596s+0.0048s)
8928^9413-9413^8928 is 7-PRP! (61.3808s+0.0044s)
8928^9413-9413^8928 is 11-PRP! (58.5042s+0.0043s)

Primality testing 8928^9413-9413^8928 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.07% proof)
8928^9413-9413^8928 is Fermat and Lucas PRP! (309.5701s+0.0058s)

To be completed...