Consider the equation x^2+y^5=z^3 where x, y, and z, are positive integers.

(A) Can you give at least three solutions to it?
(B) Determine whether or not there is an infinite number of solutions.

In response to John's question ... my solution also basically agreed with Oskar's but I was curious if others existed so I wrote a short program and found the previously noted two.

Dennis

Posted by Dennis on 2006-09-17 17:59:06