Found with PFGW Version 3.7.5

3425^5474-5474^3425 is 2-PRP! (11.4609s+0.0023s)
3425^5474-5474^3425 is 3-PRP! (12.9162s+0.0028s)
3425^5474-5474^3425 is 5-PRP! (17.4812s+0.0037s)
3425^5474-5474^3425 is 7-PRP! (12.5031s+0.0026s)
3425^5474-5474^3425 is 11-PRP! (12.7563s+0.0025s)

Primality testing 3425^5474-5474^3425 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.05% and helper 0.00% (0.15% proof)
3425^5474-5474^3425 is Fermat and Lucas PRP! (58.0477s+0.0050s)

To be completed...