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August 5th, 2011, 12:52 AM  #1 
Member Joined: Aug 2010 From: Vitória ES, Brazil Posts: 71 Thanks: 0  How many Pythagorean triples?
The problem is: How many Pythagorean triples have the second bigger side of the correspondig triangle less than or equal to a given positive integer ? (sorry my bad english xP) 
August 5th, 2011, 12:58 AM  #2 
Member Joined: Aug 2010 From: Vitória ES, Brazil Posts: 71 Thanks: 0  Re: How many Pythagorean triples?
I think that I get an expression to this quantity, but the formula is ugly and not good. Maybe it's possible to simplify it. http://forum2010.obmep.org.br/latexrend ... 16df5d.gif http://forum2010.obmep.org.br/latexrend ... 9fbc4e.gif 
August 5th, 2011, 11:38 AM  #4  
Member Joined: Aug 2010 From: Vitória ES, Brazil Posts: 71 Thanks: 0  Re: How many Pythagorean triples? Quote:
I made these latex gifs in an brazilian olympiad forum before.  

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