--- In

primenumbers@yahoogroups.com,

"mikeoakes2" <mikeoakes2@...> wrote:

> Definition: A "maximal power chain" is a power chain with

> integers (A,B) for which there is a proof that no chain

> of greater length exists for that A.

"For that A" does not make sense. If you specify only A,

then I may always choose a B such that /no/ proof exists.

Hence your "maximal" length is unbounded, "for that A".

However, no worry: we do not need the word "maximal".

> Definition: L2(A) = (largest prime divisor of (A-1)) - 1.

> Conjecture: there are only 4 maximal power chains of

> length >= L2(A)+2.

So let's make that clear and self contained:

! Mike Oakes conjectures that for chains x-->Ax+B, with

! A > 2 and B /coprime/ to the /largest/ prime divisor M|A-1,

! it is possible to find a chain of M+1 increasing primes

! in precisely 4 cases.

This erases historical confusion and concentrates on what you

actually studied, with /coprime/ and /largest/ spelled out as

the central points of a (now) coherent conjecture.

> $$lots for anyone who can find a 5th one (not:-)

How many zlotys are you offering :-?

David