Found with PFGW Version 3.7.5

3309^9992-9992^3309 is 2-PRP! (22.3016s+0.0016s)
3309^9992-9992^3309 is 3-PRP! (23.2464s+0.0013s)
3309^9992-9992^3309 is 5-PRP! (22.8370s+0.0019s)
3309^9992-9992^3309 is 7-PRP! (23.0748s+0.0014s)
3309^9992-9992^3309 is 11-PRP! (23.0671s+0.0019s)

Primality testing 3309^9992-9992^3309 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N-1 test using base 17
Running N-1 test using base 19
Running N-1 test using base 23
Running N-1 test using base 31
Running N+1 test using discriminant 47, base 1+sqrt(47)
Calling N-1 BLS with factored part 0.03% and helper 0.03% (0.13% proof)
3309^9992-9992^3309 is Fermat and Lucas PRP! (228.9619s+0.0024s)

To be completed...