Kiran S. Kedlaya
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zadid xcalibured
- Posts:217
- Joined:Thu Oct 27, 2011 11:04 am
- Location:mymensingh
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
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.
Seems just too much to me.
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Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Re: Kiran S. Kedlaya
What was that?*Mahi* wrote:I think no reply is going to be posted.
One one thing is neutral in the universe, that is $0$.
Re: Kiran S. Kedlaya
That was because people browsing the forum gave a little attention to the post + the proof seemed too much high thought.Masum wrote:What was that?*Mahi* wrote:I think no reply is going to be posted.
Please read Forum Guide and Rules before you post.
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi
Use $L^AT_EX$, It makes our work a lot easier!
Nur Muhammad Shafiullah | Mahi