Found with PFGW Version 3.6.0

1057^4080-4080^1057 is 2-PRP! (6.4350s+0.0030s)
1057^4080-4080^1057 is 3-PRP! (6.4457s+0.0031s)
1057^4080-4080^1057 is 5-PRP! (6.4504s+0.0032s)
1057^4080-4080^1057 is 7-PRP! (6.4354s+0.0045s)
1057^4080-4080^1057 is 11-PRP! (6.4464s+0.0036s)

Primality testing 1057^4080-4080^1057 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N-1 test using base 19
Running N+1 test using discriminant 29, base 10+sqrt(29)
Calling N-1 BLS with factored part 0.16% and helper 0.15% (0.63% proof)
1057^4080-4080^1057 is Fermat and Lucas PRP! (36.3374s+0.0018s)

To be completed...