Kiran S. Kedlaya

For discussing Olympiad Level Number Theory problems
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zadid xcalibured
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Kiran S. Kedlaya

Unread post by zadid xcalibured » Thu Apr 11, 2013 3:04 pm

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.

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*Mahi*
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Re: Kiran S. Kedlaya

Unread post by *Mahi* » Sat Apr 13, 2013 9:34 pm

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.
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Masum
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Re: Kiran S. Kedlaya

Unread post by Masum » Sun Apr 14, 2013 7:27 pm

*Mahi* wrote:I think no reply is going to be posted.
What was that? :x
One one thing is neutral in the universe, that is $0$.

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*Mahi*
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Re: Kiran S. Kedlaya

Unread post by *Mahi* » Mon Apr 15, 2013 1:31 am

Masum wrote:
*Mahi* wrote:I think no reply is going to be posted.
What was that? :x
That was because people browsing the forum gave a little attention to the post + the proof seemed too much high thought.
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