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Kiran S. Kedlaya
Posted: Thu Apr 11, 2013 3:04 pm
by zadid xcalibured
Show that if $x$,$y$,$z$ are all 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.
Re: Kiran S. Kedlaya
Posted: Sat Apr 13, 2013 9:34 pm
by *Mahi*
I think no reply is going to be posted. So here is the original proof by Kiran S Kedlaya -
http://diendantoanhoc.net/forum/index.p ... ch_id=1088
Seems just too much to me.
Re: Kiran S. Kedlaya
Posted: Sun Apr 14, 2013 7:27 pm
by Masum
*Mahi* wrote:I think no reply is going to be posted.
What was that?
Re: Kiran S. Kedlaya
Posted: Mon Apr 15, 2013 1:31 am
by *Mahi*
Masum wrote:*Mahi* wrote:I think no reply is going to be posted.
What was that?
That was because people browsing the forum gave a little attention to the post + the proof seemed too much high thought.