Found with PFGW Version 3.4.6

2429^3000-3000^2429 is 2-PRP! (10.2706s+0.0045s)
2429^3000-3000^2429 is 3-PRP! (11.1172s+0.0053s)
2429^3000-3000^2429 is 5-PRP! (10.6815s+0.0044s)
2429^3000-3000^2429 is 7-PRP! (10.0300s+0.0044s)
2429^3000-3000^2429 is 11-PRP! (9.9292s+0.0046s)

Primality testing 2429^3000-3000^2429 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 19, base 16+sqrt(19)
Calling N-1 BLS with factored part 0.07% and helper 0.03% (0.24% proof)
2429^3000-3000^2429 is Fermat and Lucas PRP! (50.0325s+0.0081s)

To be completed...