Found with PFGW Version 3.6.0

2043^4028-4028^2043 is 2-PRP! (7.4444s+0.0019s)
2043^4028-4028^2043 is 3-PRP! (7.4820s+0.0018s)
2043^4028-4028^2043 is 5-PRP! (7.4632s+0.0019s)
2043^4028-4028^2043 is 7-PRP! (7.4642s+0.0019s)
2043^4028-4028^2043 is 11-PRP! (7.4817s+0.0020s)

Primality testing 2043^4028-4028^2043 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 17, base 8+sqrt(17)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.12% proof)
2043^4028-4028^2043 is Fermat and Lucas PRP! (41.7444s+0.0017s)

To be completed...