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Topic: Pythagorean triangles
Replies: 7   Last Post: Feb 24, 1998 8:09 PM

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Michael Keyton

Posts: 138
Registered: 12/3/04
Re: pythagorean triplets
Posted: Dec 16, 1997 6:59 PM
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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.

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