Found with PFGW Version 3.6.0

3704^6261-6261^3704 is 2-PRP! (21.8460s+0.0028s)
3704^6261-6261^3704 is 3-PRP! (21.8213s+0.0034s)
3704^6261-6261^3704 is 5-PRP! (21.8454s+0.0029s)
3704^6261-6261^3704 is 7-PRP! (21.9179s+0.0026s)
3704^6261-6261^3704 is 11-PRP! (21.8557s+0.0030s)

Primality testing 3704^6261-6261^3704 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.02% and helper 0.01% (0.09% proof)
3704^6261-6261^3704 is Fermat and Lucas PRP! (105.1748s+0.0027s)

To be completed...