```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, someof which are relatively prime, for multiples of 5?  Michael KeytonOn 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.>
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