Found with PFGW Version 3.8.0

2286^13243-13243^2286 is 2-PRP! (37.6802s+0.0095s)
2286^13243-13243^2286 is 3-PRP! (37.7014s+0.0101s)
2286^13243-13243^2286 is 5-PRP! (37.6512s+0.0139s)
2286^13243-13243^2286 is 7-PRP! (37.6048s+0.0100s)
2286^13243-13243^2286 is 11-PRP! (37.6806s+0.0126s)

Primality testing 2286^13243-13243^2286 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.02% and helper 0.02% (0.07% proof)
2286^13243-13243^2286 is Fermat and Lucas PRP! (205.5693s+0.0355s)

To be completed...