Cute number theory problem
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Newsgroups: sci.math.research
From: Larry Hammick <larryhamm...@telus.net>Date: Tue, 27 Oct 2009 23:30:02 +0000 (GMT)
Local: Wed, Oct 28 2009 12:30 am
Subject: Cute number theory problem
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
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Newsgroups: sci.math.research
From: Gordon Stangler <gordon.stang...@gmail.com>Date: Wed, 28 Oct 2009 12:30:02 +0000 (GMT)
Local: Wed, Oct 28 2009 1:30 pm
Subject: Re: Cute number theory problem
On Oct 27, 6:30 pm, Larry Hammick <larryhamm...@telus.net> wrote:
> 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
remember the solution, but it was solved, as well.
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Newsgroups: sci.math.research
From: Larry Hammick <larryhamm...@telus.net>Date: Thu, 29 Oct 2009 06:30:01 +0000 (GMT)
Local: Thurs, Oct 29 2009 7:30 am
Subject: Re: Cute number theory problem
"Gordon Stangler" <gordon.stang ...@gmail.com> wrote in message
> On Oct 27, 6:30 pm, Larry Hammick <larryhamm ...@telus.net> wrote: >> 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
> Sorry Larry, I saw this problem four years ago, at least. I don't
> remember the solution, but it was solved, as well.
http://www.mathlinks.ro/Forum/viewtopic.php?t=148026
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