Found with PFGW Version 3.7.5

2067^9566-9566^2067 is 2-PRP! (17.9314s+0.0013s)
2067^9566-9566^2067 is 3-PRP! (17.7542s+0.0013s)
2067^9566-9566^2067 is 5-PRP! (17.9479s+0.0013s)
2067^9566-9566^2067 is 7-PRP! (17.7413s+0.0013s)
2067^9566-9566^2067 is 11-PRP! (17.9621s+0.0012s)

Primality testing 2067^9566-9566^2067 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling N+1 BLS with factored part 0.04% and helper 0.01% (0.12% proof)
2067^9566-9566^2067 is Fermat and Lucas PRP! (102.9582s+0.0029s)

To be completed...