Found with PFGW Version 3.7.5

2425^6726-6726^2425 is 2-PRP! (19.8547s+0.0026s)
2425^6726-6726^2425 is 3-PRP! (19.0616s+0.0033s)
2425^6726-6726^2425 is 5-PRP! (18.5179s+0.0021s)
2425^6726-6726^2425 is 7-PRP! (21.2500s+0.0022s)
2425^6726-6726^2425 is 11-PRP! (22.6286s+0.0022s)

Primality testing 2425^6726-6726^2425 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 13
Running N-1 test using base 37
Running N+1 test using discriminant 61, base 3+sqrt(61)
Calling N-1 BLS with factored part 0.07% and helper 0.01% (0.23% proof)
2425^6726-6726^2425 is Fermat and Lucas PRP! (129.3086s+0.0037s)

To be completed...