Consider three positive integers x < y < z in arithmetic sequence, and determine all possible solutions of: x⁴ + y⁴ = z⁴ - 64

    I've been doing some playing around with the more general problem

x^4+y^4=z^4-n

with n>0, 0<x<y<z and x,y,z in arithmetic sequence

its interesting to see for what values of n solutions exist

I also believe I have a complete solution to this more general problem :-)

Posted by Daniel on 2006-06-28 22:53:13