Found with PFGW Version 3.6.0

2298^3979-3979^2298 is 2-PRP! (9.2055s+0.0006s)
2298^3979-3979^2298 is 3-PRP! (9.2538s+0.0006s)
2298^3979-3979^2298 is 5-PRP! (9.2377s+0.0006s)
2298^3979-3979^2298 is 7-PRP! (9.1336s+0.0006s)
2298^3979-3979^2298 is 11-PRP! (9.1436s+0.0006s)

Primality testing 2298^3979-3979^2298 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling N-1 BLS with factored part 0.08% and helper 0.05% (0.29% proof)
2298^3979-3979^2298 is Fermat and Lucas PRP! (42.7889s+0.0035s)

To be completed...