Found with PFGW Version 3.7.5

2968^5193-5193^2968 is 2-PRP! (12.6259s+0.0023s)
2968^5193-5193^2968 is 3-PRP! (12.0011s+0.0024s)
2968^5193-5193^2968 is 5-PRP! (11.8081s+0.0025s)
2968^5193-5193^2968 is 7-PRP! (11.7336s+0.0022s)
2968^5193-5193^2968 is 11-PRP! (11.9547s+0.0018s)

Primality testing 2968^5193-5193^2968 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.11% and helper 0.03% (0.37% proof)
2968^5193-5193^2968 is Fermat and Lucas PRP! (61.0197s+0.0037s)

To be completed...