Found with PFGW Version 3.8.3

6792^13559-13559^6792 is 2-PRP! (27.9868s+0.0016s)
6792^13559-13559^6792 is 3-PRP! (27.9812s+0.0018s)
6792^13559-13559^6792 is 5-PRP! (28.0159s+0.0018s)
6792^13559-13559^6792 is 7-PRP! (27.9546s+0.0019s)
6792^13559-13559^6792 is 11-PRP! (27.9746s+0.0019s)

Primality testing 6792^13559-13559^6792 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.03% and helper 0.02% (0.10% proof)
6792^13559-13559^6792 is Fermat and Lucas PRP! (189.9105s+0.0021s)

To be completed...