Found with PFGW Version 3.5.2

3363^3478-3478^3363 is 2-PRP! (15.9069s+0.0053s)
3363^3478-3478^3363 is 3-PRP! (29.9477s+0.0082s)
3363^3478-3478^3363 is 5-PRP! (32.3594s+0.0290s)
3363^3478-3478^3363 is 7-PRP! (31.8560s+0.0067s)
3363^3478-3478^3363 is 11-PRP! (32.3555s+0.0241s)

Primality testing 3363^3478-3478^3363 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N+1 BLS with factored part 0.06% and helper 0.02% (0.20% proof)
3363^3478-3478^3363 is Fermat and Lucas PRP! (155.2112s+0.0168s)

To be completed...