Found with PFGW Version 3.6.0

3710^3947-3947^3710 is 2-PRP! (9.6601s+0.0024s)
3710^3947-3947^3710 is 3-PRP! (9.5645s+0.0022s)
3710^3947-3947^3710 is 5-PRP! (9.5734s+0.0021s)
3710^3947-3947^3710 is 7-PRP! (9.5349s+0.0034s)
3710^3947-3947^3710 is 11-PRP! (9.5019s+0.0036s)

Primality testing 3710^3947-3947^3710 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N-1 BLS with factored part 0.13% and helper 0.09% (0.49% proof)
3710^3947-3947^3710 is Fermat and Lucas PRP! (44.9272s+0.0021s)

To be completed...