Found with PFGW Version 3.6.0

3320^4999-4999^3320 is 2-PRP! (13.6046s+0.0019s)
3320^4999-4999^3320 is 3-PRP! (13.4274s+0.0022s)
3320^4999-4999^3320 is 5-PRP! (13.4819s+0.0020s)
3320^4999-4999^3320 is 7-PRP! (13.4896s+0.0020s)
3320^4999-4999^3320 is 11-PRP! (13.4256s+0.0021s)

Primality testing 3320^4999-4999^3320 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 8+sqrt(7)
Calling N-1 BLS with factored part 0.04% and helper 0.03% (0.17% proof)
3320^4999-4999^3320 is Fermat and Lucas PRP! (64.4325s+0.0038s)

To be completed...