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 2010-05-10 14:15:00