Found with PFGW Version 3.5.2

1374^3419-3419^1374 is 2-PRP! (11.3951s+0.0045s)
1374^3419-3419^1374 is 3-PRP! (15.8131s+0.0054s)
1374^3419-3419^1374 is 5-PRP! (22.9831s+0.0166s)
1374^3419-3419^1374 is 7-PRP! (25.8062s+0.0062s)
1374^3419-3419^1374 is 11-PRP! (28.7060s+0.0224s)

Primality testing 1374^3419-3419^1374 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 2+sqrt(11)
Calling N-1 BLS with factored part 0.12% and helper 0.07% (0.42% proof)
1374^3419-3419^1374 is Fermat and Lucas PRP! (140.0381s+0.0165s)

To be completed...