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Cute number theory problem

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Larry Hammick

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Oct 27, 2009, 7:30:02 PM10/27/09
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Maybe I should have sent this one to the Monthly.

Let p and q be positive relatively prime odd integers. Show that the
triangle

( 0 , q/2 ) ( p/2, q/2 ) ( p/2, 0 )

has an even number of lattice points inside it.

LH

Gordon Stangler

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Oct 28, 2009, 8:30:02 AM10/28/09
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Sorry Larry, I saw this problem four years ago, at least. I don't
remember the solution, but it was solved, as well.

Larry Hammick

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Oct 29, 2009, 2:30:01 AM10/29/09
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"Gordon Stangler" <gordon....@gmail.com> wrote in message
news:hc9dga$rrv$1...@crackerjack.ma.ic.ac.uk...
Damn. :D Anyhow, here's a solution this gem:

http://www.mathlinks.ro/Forum/viewtopic.php?t=148026

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