Found with PFGW Version 3.4.8

2082^3211-3211^2082 is 2-PRP! (26.1535s+0.0329s)
2082^3211-3211^2082 is 3-PRP! (28.6425s+0.0061s)
2082^3211-3211^2082 is 5-PRP! (27.1920s+0.0056s)
2082^3211-3211^2082 is 7-PRP! (26.3110s+0.0069s)
2082^3211-3211^2082 is 11-PRP! (26.5923s+0.0062s)

Primality testing 2082^3211-3211^2082 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N-1 BLS with factored part 0.10% and helper 0.10% (0.41% proof)
2082^3211-3211^2082 is Fermat and Lucas PRP! (119.2477s+0.0118s)

To be completed...