Found with PFGW Version 3.5.2

66^10862+65 is 2-PRP! (12.7127s+0.0053s)
66^10862+65 is 3-PRP! (12.9607s+0.0016s)
66^10862+65 is 5-PRP! (14.2054s+0.0015s)
66^10862+65 is 7-PRP! (19.1122s+0.0018s)
66^10862+65 is 11-PRP! (25.2556s+0.0015s)

Primality testing 66^10862+65 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 10+sqrt(17)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.07% proof)
66^10862+65 is Fermat and Lucas PRP! (252.0958s+0.0059s)

To be completed...