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MathNet 2015-part-04 — 191 problems (EN–VI) Question 91

Math Olympiad Vault · MathNet 2015-part-04 — 191 problems (EN–VI)

Question 91

A *Pythagorean triple* is a solution of the equation $x^2 + y^2 = z^2$ in positive integers such that $x \lt y$. Given any non-negative integer $n$, show that some positive integer appears in precisely $n$ distinct Pythagorean triples.
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