Found with PFGW Version 3.6.0

66^22779-65 is 2-PRP! (23.4957s+0.0029s)
66^22779-65 is 3-PRP! (23.4290s+0.0033s)
66^22779-65 is 5-PRP! (23.4652s+0.0029s)
66^22779-65 is 7-PRP! (23.4275s+0.0026s)
66^22779-65 is 11-PRP! (23.4304s+0.0026s)

Primality testing 66^22779-65 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
66^22779-65 is Fermat and Lucas PRP! (194.2225s+0.0043s)

To be completed...