Found with PFGW Version 3.8.0

4255^13428-13428^4255 is 2-PRP! (42.9657s+0.0100s)
4255^13428-13428^4255 is 3-PRP! (43.0367s+0.0106s)
4255^13428-13428^4255 is 5-PRP! (43.0396s+0.0106s)
4255^13428-13428^4255 is 7-PRP! (43.0465s+0.0103s)
4255^13428-13428^4255 is 11-PRP! (43.0096s+0.0099s)

Primality testing 4255^13428-13428^4255 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 8+sqrt(13)
Calling N-1 BLS with factored part 0.02% and helper 0.00% (0.06% proof)
4255^13428-13428^4255 is Fermat and Lucas PRP! (218.4225s+0.0114s)

To be completed...