Found with PFGW Version 3.7.5

2688^5227-5227^2688 is 2-PRP! (10.0470s+0.0018s)
2688^5227-5227^2688 is 3-PRP! (12.1933s+0.0023s)
2688^5227-5227^2688 is 5-PRP! (10.8749s+0.0016s)
2688^5227-5227^2688 is 7-PRP! (14.4318s+0.0025s)
2688^5227-5227^2688 is 11-PRP! (11.6410s+0.0027s)

Primality testing 2688^5227-5227^2688 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 17
Running N+1 test using discriminant 23, base 1+sqrt(23)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.13% proof)
2688^5227-5227^2688 is Fermat and Lucas PRP! (54.6276s+0.0044s)

To be completed...