Found with PFGW Version 3.4.8

2165^3284-3284^2165 is 2-PRP! (16.8409s+0.0223s)
2165^3284-3284^2165 is 3-PRP! (24.6871s+0.0177s)
2165^3284-3284^2165 is 5-PRP! (18.8682s+0.0148s)
2165^3284-3284^2165 is 7-PRP! (27.0550s+0.0297s)
2165^3284-3284^2165 is 11-PRP! (29.1613s+0.0069s)

Primality testing 2165^3284-3284^2165 [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 0.15% and helper 0.07% (0.51% proof)
2165^3284-3284^2165 is Fermat and Lucas PRP! (130.7779s+0.0123s)

To be completed...