Found with PFGW Version 3.7.5

8732^10681-10681^8732 is 2-PRP! (37.3007s+0.0028s)
8732^10681-10681^8732 is 3-PRP! (37.5031s+0.0027s)
8732^10681-10681^8732 is 5-PRP! (37.6825s+0.0026s)
8732^10681-10681^8732 is 7-PRP! (36.9470s+0.0027s)
8732^10681-10681^8732 is 11-PRP! (36.9714s+0.0026s)

Primality testing 8732^10681-10681^8732 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 8+sqrt(7)
Calling N+1 BLS with factored part 0.00% and helper 0.00% (0.01% proof)
8732^10681-10681^8732 is Fermat and Lucas PRP! (182.3933s+0.0031s)

To be completed...