Found with PFGW Version 3.7.5

85^31718+84 is 2-PRP! (22.2150s+0.0022s)
85^31718+84 is 3-PRP! (22.1929s+0.0021s)
85^31718+84 is 5-PRP! (22.2278s+0.0021s)
85^31718+84 is 7-PRP! (22.2065s+0.0021s)
85^31718+84 is 11-PRP! (22.1773s+0.0020s)

Primality testing 85^31718+84 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N-1 test using base 19
Running N-1 test using base 23
Running N-1 test using base 29
Running N+1 test using discriminant 37, base 12+sqrt(37)
Calling N+1 BLS with factored part 0.05% and helper 0.03% (0.19% proof)
85^31718+84 is Fermat and Lucas PRP! (231.7186s+0.0030s)

To be completed...