Found with PFGW Version 3.7.5

8954^10565-10565^8954 is 2-PRP! (36.4973s+0.0029s)
8954^10565-10565^8954 is 3-PRP! (36.2702s+0.0014s)
8954^10565-10565^8954 is 5-PRP! (37.1525s+0.0014s)
8954^10565-10565^8954 is 7-PRP! (36.6026s+0.0014s)
8954^10565-10565^8954 is 11-PRP! (37.2981s+0.0014s)

Primality testing 8954^10565-10565^8954 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 6+sqrt(7)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
8954^10565-10565^8954 is Fermat and Lucas PRP! (177.6690s+0.0019s)

To be completed...