Found with PFGW Version 3.7.5

2843^6324-6324^2843 is 2-PRP! (20.7492s+0.0028s)
2843^6324-6324^2843 is 3-PRP! (18.3312s+0.0019s)
2843^6324-6324^2843 is 5-PRP! (18.5913s+0.0025s)
2843^6324-6324^2843 is 7-PRP! (18.6179s+0.0020s)
2843^6324-6324^2843 is 11-PRP! (18.7655s+0.0024s)

Primality testing 2843^6324-6324^2843 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N-1 test using base 7
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N+1 BLS with factored part 0.03% and helper 0.03% (0.14% proof)
2843^6324-6324^2843 is Fermat and Lucas PRP! (132.4918s+0.0042s)

To be completed...