Found with PFGW Version 3.7.5

9111^10892-10892^9111 is 2-PRP! (38.1853s+0.0022s)
9111^10892-10892^9111 is 3-PRP! (38.2169s+0.0020s)
9111^10892-10892^9111 is 5-PRP! (38.6076s+0.0021s)
9111^10892-10892^9111 is 7-PRP! (38.4193s+0.0021s)
9111^10892-10892^9111 is 11-PRP! (38.4668s+0.0021s)

Primality testing 9111^10892-10892^9111 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
9111^10892-10892^9111 is Fermat and Lucas PRP! (188.0554s+0.0028s)

To be completed...