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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: ---- --- ---- conditions for integer solutions
Replies: 15   Last Post: Dec 17, 2010 7:48 PM

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astanoff

Posts: 216
Registered: 9/14/06
Re: ---- --- ---- conditions for integer solutions
Posted: Dec 15, 2010 8:16 AM
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On 14 déc, 21:52, quasi <qu...@null.set> wrote:
> On Tue, 14 Dec 2010 12:25:06 -0800 (PST), Deep <deepk...@yahoo.com>
> wrote:
>
> >Consider (1) below
>
> >x^2 -y^2 = ek^2                     (1)
>
> >Question: Is it possible for (1) to have solutions under the given
> >conditions?
>
> >Conditions: x, y are coprime, each is odd and > 1, e is an even
> >integer > 1, k is a prime > 3
>
> Yes, easy.
>
> For example, x=27, y=23, e=8, k=5.
>
> quasi

I can't find any example with k > 7
Have you got one ?

v.

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