Found with PFGW Version 3.6.0

2541^3758-3758^2541 is 2-PRP! (6.1734s+0.0021s)
2541^3758-3758^2541 is 3-PRP! (6.1386s+0.0020s)
2541^3758-3758^2541 is 5-PRP! (6.2341s+0.0020s)
2541^3758-3758^2541 is 7-PRP! (6.1950s+0.0033s)
2541^3758-3758^2541 is 11-PRP! (6.1541s+0.0018s)

Primality testing 2541^3758-3758^2541 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 17, base 10+sqrt(17)
Calling N-1 BLS with factored part 0.03% and helper 0.01% (0.10% proof)
2541^3758-3758^2541 is Fermat and Lucas PRP! (30.4319s+0.0019s)

To be completed...