Found with PFGW Version 3.6.0

1190^4251-4251^1190 is 2-PRP! (6.6411s+0.0018s)
1190^4251-4251^1190 is 3-PRP! (6.5731s+0.0019s)
1190^4251-4251^1190 is 5-PRP! (6.5786s+0.0025s)
1190^4251-4251^1190 is 7-PRP! (6.5819s+0.0035s)
1190^4251-4251^1190 is 11-PRP! (6.6232s+0.0016s)

Primality testing 1190^4251-4251^1190 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Running N+1 test using discriminant 29, base 1+sqrt(29)
Calling N+1 BLS with factored part 0.11% and helper 0.06% (0.39% proof)
1190^4251-4251^1190 is Fermat and Lucas PRP! (37.4224s+0.0023s)

To be completed...