Terry M
Posts:
15
Registered:
4/26/12


Re: Pell type equations
Posted:
Apr 28, 2012 6:03 AM


Hi Helmut
"Helmut Richter" <hhrm@web.de> wrote in message news:alpine.LNX.2.00.1204280933150.5441@badwlrzclhri01.ws.lrz.de...
> 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,
Terry
>  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

