New Seq: Differences between squares are cubes

[Maximilian Hasler]

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