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?
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.