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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 $c$ ? (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, 02:08 AM #3 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: How many Pythagorean triples? Is mdc gcd?
August 5th, 2011, 11:38 AM   #4
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From: Vitória ES, Brazil

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Re: How many Pythagorean triples?

Quote:
 Originally Posted by CRGreathouse Is mdc gcd?
Oh yes, sorry. In portuguese we call it "maior divisor comum".
I made these latex gifs in an brazilian olympiad forum before.

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