Found with PFGW Version 3.6.0

971^6660-6660^971 is 2-PRP! (19.1660s+0.0007s)
971^6660-6660^971 is 3-PRP! (19.0871s+0.0006s)
971^6660-6660^971 is 5-PRP! (19.2648s+0.0006s)
971^6660-6660^971 is 7-PRP! (19.1115s+0.0006s)
971^6660-6660^971 is 11-PRP! (19.0667s+0.0006s)

Primality testing 971^6660-6660^971 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 11
Running N-1 test using base 17
Running N-1 test using base 19
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N-1 BLS with factored part 0.13% and helper 0.08% (0.47% proof)
971^6660-6660^971 is Fermat and Lucas PRP! (146.3094s+0.0027s)

To be completed...