Found with PFGW Version 3.5.2

2743^3390-3390^2743 is 2-PRP! (14.9756s+0.0050s)
2743^3390-3390^2743 is 3-PRP! (23.4060s+0.0056s)
2743^3390-3390^2743 is 5-PRP! (28.7148s+0.0141s)
2743^3390-3390^2743 is 7-PRP! (25.4333s+0.0298s)
2743^3390-3390^2743 is 11-PRP! (24.9368s+0.0049s)

Primality testing 2743^3390-3390^2743 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 6+sqrt(17)
Calling N-1 BLS with factored part 0.09% and helper 0.07% (0.33% proof)
2743^3390-3390^2743 is Fermat and Lucas PRP! (173.3508s+0.0108s)

To be completed...