Found with PFGW Version 3.6.0

1874^4125-4125^1874 is 2-PRP! (9.0466s+0.0019s)
1874^4125-4125^1874 is 3-PRP! (9.0629s+0.0020s)
1874^4125-4125^1874 is 5-PRP! (9.0529s+0.0025s)
1874^4125-4125^1874 is 7-PRP! (9.0785s+0.0033s)
1874^4125-4125^1874 is 11-PRP! (9.0262s+0.0019s)

Primality testing 1874^4125-4125^1874 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.07% and helper 0.04% (0.26% proof)
1874^4125-4125^1874 is Fermat and Lucas PRP! (42.1892s+0.0031s)

To be completed...