quasi wrote: >Deep wrote: >> >>Consider (1) below for the given conditions >> >>z^p - x^p = 2y^2 (1) >> >>Conditions: z, x, y are co prime integers taken two at a time, >>2|y, prime p > 3, z > x > y > 0. >> >>Conjecture: (1) can not be satisfied for the given conditions. >> >>Any helpful comment upon the correctness of the Conjecture >>will be appreciated. > >It's probably correct, but so what? > >Here's a more general conjecture ... > >Let p be an odd prime and let > > f(x,y) = x^p - y^p > >restricted t > >Conjecture: > >If f is restricted to > >If y,z are coprime positive integers with y < z then the >function > > f(y,z) = y
Sorry -- I meant to delete the post and hit send by accident.
It was a meaningless conjecture anyway, so I won't finish it.