Found with PFGW Version 3.6.0

1568^4199-4199^1568 is 2-PRP! (9.1796s+0.0028s)
1568^4199-4199^1568 is 3-PRP! (9.1395s+0.0017s)
1568^4199-4199^1568 is 5-PRP! (9.1040s+0.0015s)
1568^4199-4199^1568 is 7-PRP! (9.1423s+0.0017s)
1568^4199-4199^1568 is 11-PRP! (9.1051s+0.0031s)

Primality testing 1568^4199-4199^1568 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 13, base 2+sqrt(13)
Calling N-1 BLS with factored part 0.13% and helper 0.08% (0.48% proof)
1568^4199-4199^1568 is Fermat and Lucas PRP! (42.5440s+0.0045s)

To be completed...