Found with PFGW Version 3.6.0

3331^4884-4884^3331 is 2-PRP! (13.1127s+0.0031s)
3331^4884-4884^3331 is 3-PRP! (13.1999s+0.0052s)
3331^4884-4884^3331 is 5-PRP! (13.0506s+0.0022s)
3331^4884-4884^3331 is 7-PRP! (13.1549s+0.0022s)
3331^4884-4884^3331 is 11-PRP! (13.1287s+0.0034s)

Primality testing 3331^4884-4884^3331 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 13, base 6+sqrt(13)
Calling N-1 BLS with factored part 0.05% and helper 0.00% (0.16% proof)
3331^4884-4884^3331 is Fermat and Lucas PRP! (62.6942s+0.0056s)

To be completed...