[seqfan] Re: Is this possible?

[Andrew Weimholt]

On Sat, Jun 5, 2010 at 8:35 AM, Hans Havermann <pxp at rogers.com> wrote:
> Quadruples {a,b,c,d}, a>b>c>d>0, where
> a+b, a+c, a+d, b+c, b+d, c+d are all squares,
> a+b+c, a+b+d, a+c+d, b+c+d are all cubes, and
> a+b+c+d is a fourth power.
>

at least 3 of a,b,c,d would have to be divisible by 4
at least 3 would have to be divisible by 5
and
at least 3 would have to be divisible by 7

I'll look at this more later on

Andrew