Found with PFGW Version 3.7.5

3024^9983-9983^3024 is 2-PRP! (22.0103s+0.0012s)
3024^9983-9983^3024 is 3-PRP! (22.9545s+0.0013s)
3024^9983-9983^3024 is 5-PRP! (22.6130s+0.0011s)
3024^9983-9983^3024 is 7-PRP! (22.8204s+0.0012s)
3024^9983-9983^3024 is 11-PRP! (22.9220s+0.0012s)

Primality testing 3024^9983-9983^3024 [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 0.04% and helper 0.01% (0.13% proof)
3024^9983-9983^3024 is Fermat and Lucas PRP! (111.5336s+0.0023s)

To be completed...