Found with PFGW Version 3.7.5

6792^10271-10271^6792 is 2-PRP! (33.0061s+0.0016s)
6792^10271-10271^6792 is 3-PRP! (33.9842s+0.0016s)
6792^10271-10271^6792 is 5-PRP! (34.2192s+0.0016s)
6792^10271-10271^6792 is 7-PRP! (34.2639s+0.0016s)
6792^10271-10271^6792 is 11-PRP! (33.8485s+0.0016s)

Primality testing 6792^10271-10271^6792 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.03% and helper 0.01% (0.08% proof)
6792^10271-10271^6792 is Fermat and Lucas PRP! (173.4080s+0.0028s)

To be completed...