Perhaps this link would be of interest: https://sites.google.com/site/tpiezas/Home On Mon, Nov 12, 2012 at 6:29 AM, David Makin <makinmagic@tiscali.co.uk> wrote:
Hi,
Just a quick thought I had the other day, as I understand it Fermat's last theorem (now proved) basically says that for:
a^p + b^p = c^p
Then where all variables are integers there are no solutions for a, b and c where p>2.
My thought was has anyone considered:
a^p + b^p + c^p = d^p
or indeed:
a1^p + a2^p + a3^p + ..... an^p = b^p
And is it possible that for the case of:
a^p + b^p + c^p = d^p
Then there is a solution for a,b,c,d for p=3 but not for p>3 and generally for:
a1^p + a2^p + a3^p + ..... an^p = b^p
there's a solution for a1..an and b if p=n but not for p>n ? _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun