Found with PFGW Version 3.7.5

2782^9855-9855^2782 is 2-PRP! (21.4667s+0.0013s)
2782^9855-9855^2782 is 3-PRP! (21.9426s+0.0007s)
2782^9855-9855^2782 is 5-PRP! (21.3641s+0.0018s)
2782^9855-9855^2782 is 7-PRP! (21.8845s+0.0007s)
2782^9855-9855^2782 is 11-PRP! (21.8456s+0.0009s)

Primality testing 2782^9855-9855^2782 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N-1 test using base 5
Running N-1 test using base 11
Running N+1 test using discriminant 31, base 1+sqrt(31)
Calling N+1 BLS with factored part 0.03% and helper 0.03% (0.12% proof)
2782^9855-9855^2782 is Fermat and Lucas PRP! (152.0674s+0.0013s)

To be completed...