"Helmut Richter" <email@example.com> wrote in message news:alpine.LNX.firstname.lastname@example.org...
> 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 ?
> - 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