Found with PFGW Version 3.7.5

2365^8648-8648^2365 is 2-PRP! (15.4429s+0.0280s)
2365^8648-8648^2365 is 3-PRP! (15.4122s+0.0011s)
2365^8648-8648^2365 is 5-PRP! (15.4450s+0.0012s)
2365^8648-8648^2365 is 7-PRP! (15.3350s+0.0011s)
2365^8648-8648^2365 is 11-PRP! (15.3171s+0.0012s)

Primality testing 2365^8648-8648^2365 [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 0.03% and helper 0.01% (0.10% proof)
2365^8648-8648^2365 is Fermat and Lucas PRP! (76.5516s+0.0019s)

To be completed...