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Re: Pythagorean triples in [1..n]
Posted:
Jul 23, 2001 10:51 AM
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Jan Kristian Haugland wrote...
>On 23 Jul 2001, Bill wrote:
>
>> Let a(n) be the number of Pythagorean triples in the range [1..n]
>> i.e the number of integer solutions to x^2+y^2=z^2 with
>> 1<= x,y,z <= n .
>> Is there an asymptotic expression for a(n) as n goes to infinity ?
>
>All Pythagorean triples have the form
>
> (u^2 - v^2, 2uv, u^2 + v^2)
>
>with u > v > 0.
All primitive Pythagorean triples have that form.
--
Clive Tooth
http://www.pisquaredoversix.force9.co.uk/
http://www.clivetooth.dk/
End of document
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