Found with PFGW Version 3.8.0

8966^12963-12963^8966 is 2-PRP! (50.7271s+0.0048s)
8966^12963-12963^8966 is 3-PRP! (50.9131s+0.0094s)
8966^12963-12963^8966 is 5-PRP! (48.2079s+0.0055s)
8966^12963-12963^8966 is 7-PRP! (50.6409s+0.0056s)
8966^12963-12963^8966 is 11-PRP! (48.2465s+0.0064s)

Primality testing 8966^12963-12963^8966 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.11% proof)
8966^12963-12963^8966 is Fermat and Lucas PRP! (286.4955s+0.0091s)

To be completed...