Found with PFGW Version 3.5.2

66^8418-65 is 2-PRP! (10.1096s+0.0050s)
66^8418-65 is 3-PRP! (11.6507s+0.0012s)
66^8418-65 is 5-PRP! (14.6606s+0.0011s)
66^8418-65 is 7-PRP! (15.2367s+0.0011s)
66^8418-65 is 11-PRP! (16.3542s+0.0011s)

Primality testing 66^8418-65 [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 1+sqrt(17)
Calling N+1 BLS with factored part 0.18% and helper 0.08% (0.64% proof)
66^8418-65 is Fermat and Lucas PRP! (127.4206s+0.0048s)

To be completed...