Found with PFGW Version 3.6.0

3157^4160-4160^3157 is 2-PRP! (9.5776s+0.0031s)
3157^4160-4160^3157 is 3-PRP! (9.5193s+0.0018s)
3157^4160-4160^3157 is 5-PRP! (9.5428s+0.0031s)
3157^4160-4160^3157 is 7-PRP! (9.5094s+0.0020s)
3157^4160-4160^3157 is 11-PRP! (9.6134s+0.0019s)

Primality testing 3157^4160-4160^3157 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.06% and helper 0.02% (0.20% proof)
3157^4160-4160^3157 is Fermat and Lucas PRP! (46.3423s+0.0045s)

To be completed...