Sujet : Re: Pythagorean Primitives
De : gtaylor (at) *nospam* chiark.greenend.org.uk (Gareth Taylor)
Groupes : rec.puzzlesDate : 26. Jun 2025, 21:08:31
Autres entêtes
Organisation : SGO
Message-ID : <tDz*VO2fA@news.chiark.greenend.org.uk>
References : 1 2 3 4
User-Agent : trn 4.0-test77 (Sep 1, 2010)
In article <
sm7r5k1qn6jir93tn8jl4nlo75j5uqiufq@4ax.com>,
Charlie Roberts <
croberts@gmail.com> wrote:
Well, the goose may have finally been cooked (for me, at least).
>
"The number of "primitive" triples for any side of a Pythagorean
triple is 2^(n-1), where n is the number of unique prime factors of
that side length. There may be more imprimitives than this but not
primitives."
>
but no proof (or pointers to a proof) is given.
Hello. Yesterday, I posted some maths waffle in a reply elsewhere in
this thread. I mention it partly in case you missed it, but partly in
case it hasn't shown up at all. (I haven't posted to a newsgroup for
ages and might have got it wrong!)
Gareth