Found with PFGW Version 3.6.0

2759^3800-3800^2759 is 2-PRP! (6.6964s+0.0020s)
2759^3800-3800^2759 is 3-PRP! (6.6972s+0.0023s)
2759^3800-3800^2759 is 5-PRP! (6.6509s+0.0032s)
2759^3800-3800^2759 is 7-PRP! (6.6749s+0.0018s)
2759^3800-3800^2759 is 11-PRP! (6.6605s+0.0035s)

Primality testing 2759^3800-3800^2759 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 17
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N-1 BLS with factored part 0.10% and helper 0.01% (0.31% proof)
2759^3800-3800^2759 is Fermat and Lucas PRP! (43.8272s+0.0031s)

To be completed...