Found with PFGW Version 3.6.0

2054^4479-4479^2054 is 2-PRP! (10.1468s+0.0030s)
2054^4479-4479^2054 is 3-PRP! (10.1189s+0.0021s)
2054^4479-4479^2054 is 5-PRP! (10.1270s+0.0021s)
2054^4479-4479^2054 is 7-PRP! (10.1361s+0.0020s)
2054^4479-4479^2054 is 11-PRP! (10.1357s+0.0020s)

Primality testing 2054^4479-4479^2054 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N+1 BLS with factored part 0.06% and helper 0.00% (0.20% proof)
2054^4479-4479^2054 is Fermat and Lucas PRP! (47.5697s+0.0035s)

To be completed...