Consider three positive integers x < y < z in arithmetic sequence, and determine all possible solutions of:
x^{4} + y^{4} = z^{4}  64
I've been doing some playing around with the more general problem
x^4+y^4=z^4n
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 20060628 22:53:13 