Found with PFGW Version 3.6.0

1944^5057-5057^1944 is 2-PRP! (11.6476s+0.0035s)
1944^5057-5057^1944 is 3-PRP! (13.2557s+0.0016s)
1944^5057-5057^1944 is 5-PRP! (13.0047s+0.0017s)
1944^5057-5057^1944 is 7-PRP! (13.0711s+0.0017s)
1944^5057-5057^1944 is 11-PRP! (13.4251s+0.0017s)

Primality testing 1944^5057-5057^1944 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 3+sqrt(11)
Calling N+1 BLS with factored part 0.12% and helper 0.06% (0.42% proof)
1944^5057-5057^1944 is Fermat and Lucas PRP! (61.3177s+0.0031s)

To be completed...