Found with PFGW Version 3.8.0

2768^13477-13477^2768 is 2-PRP! (42.2609s+0.0091s)
2768^13477-13477^2768 is 3-PRP! (41.7899s+0.0143s)
2768^13477-13477^2768 is 5-PRP! (43.9898s+0.0093s)
2768^13477-13477^2768 is 7-PRP! (44.0348s+0.0094s)
2768^13477-13477^2768 is 11-PRP! (41.3234s+0.0095s)

Primality testing 2768^13477-13477^2768 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.05% and helper 0.03% (0.18% proof)
2768^13477-13477^2768 is Fermat and Lucas PRP! (243.3678s+0.0109s)

To be completed...