Found with PFGW Version 3.7.5

3143^5900-5900^3143 is 2-PRP! (14.6751s+0.0019s)
3143^5900-5900^3143 is 3-PRP! (14.6437s+0.0060s)
3143^5900-5900^3143 is 5-PRP! (16.2835s+0.0029s)
3143^5900-5900^3143 is 7-PRP! (14.5295s+0.0016s)
3143^5900-5900^3143 is 11-PRP! (16.7576s+0.0032s)

Primality testing 3143^5900-5900^3143 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 19, base 2+sqrt(19)
Calling N-1 BLS with factored part 0.07% and helper 0.04% (0.26% proof)
3143^5900-5900^3143 is Fermat and Lucas PRP! (99.8475s+0.0040s)

To be completed...