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Pythagorean triples

Source: Romania TST 2015 Day 1 Problem 3

April 9, 2015
number theoryRomanian TSTinduction

Problem Statement

A Pythagorean triple is a solution of the equation x2+y2=z2x^2 + y^2 = z^2 in positive integers such that x<yx < y. Given any non-negative integer nn , show that some positive integer appears in precisely nn distinct Pythagorean triples.
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