Found with PFGW Version 3.7.5

3303^5666-5666^3303 is 2-PRP! (14.3024s+0.0014s)
3303^5666-5666^3303 is 3-PRP! (14.6080s+0.0013s)
3303^5666-5666^3303 is 5-PRP! (14.5001s+0.0014s)
3303^5666-5666^3303 is 7-PRP! (14.9775s+0.0008s)
3303^5666-5666^3303 is 11-PRP! (14.7171s+0.0040s)

Primality testing 3303^5666-5666^3303 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N-1 BLS with factored part 0.04% and helper 0.03% (0.15% proof)
3303^5666-5666^3303 is Fermat and Lucas PRP! (74.3014s+0.0109s)

To be completed...