Found with PFGW Version 3.4.8

2516^3255-3255^2516 is 2-PRP! (10.8031s+0.0043s)
2516^3255-3255^2516 is 3-PRP! (15.5639s+0.0049s)
2516^3255-3255^2516 is 5-PRP! (23.2289s+0.0050s)
2516^3255-3255^2516 is 7-PRP! (25.5583s+0.0059s)
2516^3255-3255^2516 is 11-PRP! (26.2977s+0.0119s)

Primality testing 2516^3255-3255^2516 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N+1 BLS with factored part 0.09% and helper 0.06% (0.33% proof)
2516^3255-3255^2516 is Fermat and Lucas PRP! (133.5848s+0.0165s)

To be completed...