Prove that the equation x^2+y^2=z^5 has an infinite number of positive integer solutions.
(In reply to
Parametric Solution by Brian Smith)
For integer k>=0, let x=y=2^(5k+2), z=2^(2k+1).
edit  this appears to be identical to the first solution.
Edited on May 10, 2010, 2:31 pm

Posted by xdog
on 20100510 14:15:00 