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August 4th, 2011, 11:52 PM   #1
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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)
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August 4th, 2011, 11:58 PM   #2
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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
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August 5th, 2011, 01:08 AM   #3
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Re: How many Pythagorean triples?

Is mdc gcd?
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August 5th, 2011, 10:38 AM   #4
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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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