Quote:
Originally Posted by Dr Sardonicus
The factors are the same, but the gcd formula in the "Chinese paper" gives a new way to compute them. ...

Thank you, Dr. S. It's probably worth my effort to understand their paper.
As far as formulae for Homogeneous Cunningham numbers, I've had formulae for the L and M terms for HC numbers up to the bases in Paul Leyland's tables for several years. I notice Paul's HC page recently (~2 years ago) provides support for Aurifeuillian factors and provides specific algebraic formulae for the applicable Aurifeuillian factors. I never attempted to derive a general formula to split higherbase HC numbers into their Aurifeuillian components, since the bases have remained very small and stagnant.