Found with PFGW Version 3.7.5

9181^10868-10868^9181 is 2-PRP! (38.6970s+0.0023s)
9181^10868-10868^9181 is 3-PRP! (38.0901s+0.0020s)
9181^10868-10868^9181 is 5-PRP! (37.9010s+0.0021s)
9181^10868-10868^9181 is 7-PRP! (37.9554s+0.0020s)
9181^10868-10868^9181 is 11-PRP! (38.4286s+0.0021s)

Primality testing 9181^10868-10868^9181 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
9181^10868-10868^9181 is Fermat and Lucas PRP! (186.7763s+0.0028s)

To be completed...