Found with PFGW Version 3.6.0

2868^5045-5045^2868 is 2-PRP! (12.9075s+0.0088s)
2868^5045-5045^2868 is 3-PRP! (13.9884s+0.0007s)
2868^5045-5045^2868 is 5-PRP! (13.7370s+0.0006s)
2868^5045-5045^2868 is 7-PRP! (13.5814s+0.0013s)
2868^5045-5045^2868 is 11-PRP! (14.1142s+0.0010s)

Primality testing 2868^5045-5045^2868 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N-1 BLS with factored part 0.08% and helper 0.06% (0.30% proof)
2868^5045-5045^2868 is Fermat and Lucas PRP! (66.1678s+0.0018s)

To be completed...