Date: Dec 16, 1997 6:59 PM
Author: Michael Keyton
Subject: Re: pythagorean triplets

So what is the interesting property? That there are several triples, some
of which are relatively prime, for multiples of 5?

Michael Keyton

On 16 Dec 1997, Bernard Altschuler wrote:

> I have developed a program that has discovered an interesting
> property of pythagorean triplets.
> e.g. when z=65 there are 4 pythagorean triplets (2 of them prime)
> such that a squared + b squared=65; Note that 65=5 times 13.
> when z=325 there are 7 pythagorean triplets(2 of them prime)
> Note that 325=5 times 5 times 13.
> when z=1105 there are 13 pythagorean triplets(4 of them prime)
> Note that 1105=5 times 13 times 17.
> when z=5525 there are 22 pythagorean triplets(4 of them prime)
> Note that 5525=5 times 5 times 13 time 17.
> when z=32045 there are 40 pythagorean triplets(8 of them prime)
> Note that 32045=5 times 13 times 17 times 29.
> I will appreciate a reply as to whether there is anything original in
> my findings and also any related findings that you have.
>