Found with PFGW Version 3.6.0

85^8586-84 is 2-PRP! (3.9763s+0.0020s)
85^8586-84 is 3-PRP! (3.9652s+0.0026s)
85^8586-84 is 5-PRP! (3.9834s+0.0021s)
85^8586-84 is 7-PRP! (3.9776s+0.0020s)
85^8586-84 is 11-PRP! (4.0053s+0.0022s)

Primality testing 85^8586-84 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 11
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling N-1 BLS with factored part 0.21% and helper 0.00% (0.63% proof)
85^8586-84 is Fermat and Lucas PRP! (31.1202s+0.0018s)

To be completed...