Found with PFGW Version 3.7.5

3257^9770-9770^3257 is 2-PRP! (22.7680s+0.0015s)
3257^9770-9770^3257 is 3-PRP! (22.7747s+0.0014s)
3257^9770-9770^3257 is 5-PRP! (22.7745s+0.0016s)
3257^9770-9770^3257 is 7-PRP! (22.1112s+0.0013s)
3257^9770-9770^3257 is 11-PRP! (22.1304s+0.0014s)

Primality testing 3257^9770-9770^3257 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 6+sqrt(17)
Calling N-1 BLS with factored part 0.05% and helper 0.03% (0.18% proof)
3257^9770-9770^3257 is Fermat and Lucas PRP! (109.9142s+0.0024s)

To be completed...