Found with PFGW Version 3.6.0

836^4605-4605^836 is 2-PRP! (9.2486s+0.0017s)
836^4605-4605^836 is 3-PRP! (9.0518s+0.0033s)
836^4605-4605^836 is 5-PRP! (9.0560s+0.0032s)
836^4605-4605^836 is 7-PRP! (9.0546s+0.0018s)
836^4605-4605^836 is 11-PRP! (9.0914s+0.0018s)

Primality testing 836^4605-4605^836 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 41
Running N+1 test using discriminant 53, base 1+sqrt(53)
Calling N+1 BLS with factored part 0.04% and helper 0.03% (0.15% proof)
836^4605-4605^836 is Fermat and Lucas PRP! (42.2484s+0.0017s)

To be completed...