Found with PFGW Version 3.7.5

86^39337-85 is 2-PRP! (32.2790s+0.0029s)
86^39337-85 is 3-PRP! (32.7216s+0.0029s)
86^39337-85 is 5-PRP! (32.6969s+0.0028s)
86^39337-85 is 7-PRP! (32.4899s+0.0030s)
86^39337-85 is 11-PRP! (33.0735s+0.0028s)

Primality testing 86^39337-85 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling N-1 BLS with factored part 0.16% and helper 0.00% (0.47% proof)
86^39337-85 is Fermat and Lucas PRP! (250.3983s+0.0032s)

To be completed...