Found with PFGW Version 3.6.0

2943^3790-3790^2943 is 2-PRP! (6.7566s+0.0024s)
2943^3790-3790^2943 is 3-PRP! (6.7304s+0.0007s)
2943^3790-3790^2943 is 5-PRP! (6.6832s+0.0008s)
2943^3790-3790^2943 is 7-PRP! (6.6926s+0.0007s)
2943^3790-3790^2943 is 11-PRP! (6.7109s+0.0007s)

Primality testing 2943^3790-3790^2943 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.09% and helper 0.05% (0.32% proof)
2943^3790-3790^2943 is Fermat and Lucas PRP! (35.8329s+0.0036s)

To be completed...