Found with PFGW Version 3.6.0

2768^3883-3883^2768 is 2-PRP! (8.5784s+0.0018s)
2768^3883-3883^2768 is 3-PRP! (8.9343s+0.0023s)
2768^3883-3883^2768 is 5-PRP! (9.0490s+0.0019s)
2768^3883-3883^2768 is 7-PRP! (9.4405s+0.0027s)
2768^3883-3883^2768 is 11-PRP! (9.2171s+0.0020s)

Primality testing 2768^3883-3883^2768 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N+1 BLS with factored part 0.07% and helper 0.04% (0.26% proof)
2768^3883-3883^2768 is Fermat and Lucas PRP! (42.7470s+0.0036s)

To be completed...