Found with PFGW Version 3.7.5

3143^8168-8168^3143 is 2-PRP! (34.4882s+0.0077s)
3143^8168-8168^3143 is 3-PRP! (34.9938s+0.0041s)
3143^8168-8168^3143 is 5-PRP! (32.7411s+0.0024s)
3143^8168-8168^3143 is 7-PRP! (32.9486s+0.0028s)
3143^8168-8168^3143 is 11-PRP! (34.3466s+0.0040s)

Primality testing 3143^8168-8168^3143 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 6+sqrt(17)
Calling N-1 BLS with factored part 0.05% and helper 0.02% (0.18% proof)
3143^8168-8168^3143 is Fermat and Lucas PRP! (171.5046s+0.0049s)

To be completed...