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Topic: Pell type equations
Replies: 29   Last Post: Apr 29, 2012 5:37 PM

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Terry M

Posts: 15
Registered: 4/26/12
Re: Pell type equations
Posted: Apr 28, 2012 6:03 AM
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Hi Helmut

"Helmut Richter" <> wrote in message

> Whenever you see a Diophantine equation of the form
> ax² + by² + c = 0
> you should, before thinking, see what happens if taken modulo m for each m
> which is:
> - the number 8

I think I understand the following two, but why the number 8 ?

Thanks again,


> - p² for a prime p>2 if p² ist a factor of a, b, or c or if p is a
> factor of more than one of these
> - a prime p>2 that is a simple factor of one of a, b, or c
> Often, the complexity reduces or it can be shown that there are no
> solutions.
> --
> Helmut Richter

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