My Math Forum A tough problem about perfect squares

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 April 19th, 2010, 07:15 AM #1 Senior Member   Joined: Dec 2006 Posts: 167 Thanks: 3 A tough problem about perfect squares If $x,y,z$ are positive integers, then $(xy+1)(yz+1)(zx+1)$ is a perfect square if and only if $xy+1,yz+1,zx+1$ are all perfect squares. I found this one somewhere a while a ago but haven't found a solution yet

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