Found with PFGW Version 3.4.6

2917^2982-2982^2917 is 2-PRP! (10.8217s+0.0112s)
2917^2982-2982^2917 is 3-PRP! (10.6912s+0.0015s)
2917^2982-2982^2917 is 5-PRP! (10.9720s+0.0015s)
2917^2982-2982^2917 is 7-PRP! (10.3755s+0.0015s)
2917^2982-2982^2917 is 11-PRP! (10.3025s+0.0015s)

Primality testing 2917^2982-2982^2917 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.10% and helper 0.04% (0.33% proof)
2917^2982-2982^2917 is Fermat and Lucas PRP! (51.7184s+0.0046s)

To be completed...