Found with PFGW Version 3.8.0

2384^13305-13305^2384 is 2-PRP! (38.8392s+0.0097s)
2384^13305-13305^2384 is 3-PRP! (38.2559s+0.0081s)
2384^13305-13305^2384 is 5-PRP! (38.6373s+0.0077s)
2384^13305-13305^2384 is 7-PRP! (38.1155s+0.0085s)
2384^13305-13305^2384 is 11-PRP! (38.9755s+0.0082s)

Primality testing 2384^13305-13305^2384 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling N+1 BLS with factored part 0.03% and helper 0.00% (0.10% proof)
2384^13305-13305^2384 is Fermat and Lucas PRP! (189.8536s+0.0095s)

To be completed...