New Seq: Differences between squares are cubes

[Warut Roonguthai]

Sorry, I should read the original post more carefully.

Warut

On Fri, Apr 11, 2008 at 12:52 AM, Maximilian Hasler
<Maximilian.Hasler at martinique.univ-ag.fr> wrote:
> On Thu, Apr 10, 2008 at 10:47 AM, Warut Roonguthai
> > Even the Diophantine equation: a^4 + b^3 = c^2 has infinitely many
> >  solutions with gcd(a,b,c) =1. See
> >  http://www.alpertron.com.ar/SUMPOWER.HTM#4_3_2
>
> but a(42) is not of the form a^2 !
> It has been proved in early 1920's by Mordell that for *any* nonzero k,
> the equation y^2 = x^3+k has only a finite number of integer solutions (x,y).
>
> Maximilian
>