Found with PFGW Version 3.7.5

1414^8145-8145^1414 is 2-PRP! (17.1116s+0.0009s)
1414^8145-8145^1414 is 3-PRP! (20.4165s+0.0007s)
1414^8145-8145^1414 is 5-PRP! (17.2640s+0.0010s)
1414^8145-8145^1414 is 7-PRP! (16.9904s+0.0008s)
1414^8145-8145^1414 is 11-PRP! (21.0337s+0.0007s)

Primality testing 1414^8145-8145^1414 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.06% and helper 0.04% (0.21% proof)
1414^8145-8145^1414 is Fermat and Lucas PRP! (101.8048s+0.3499s)

To be completed...