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A Pythagorean triple is a set of three natural numbers that satisfies the Pythagorean Theorem. The lowest numbers that together form a Pythagorean triple are $3,$ $4,$ and $5.$ \begin{aligned} a^2+b^2&=c^2 \\ 3^2+4^2&=5^5 \\ 9+16&=25 \end{aligned} There are an infinite number of Pythagorean triples. Other examples are $(5,12,13),$ $(8,15,17),$ and $(7,24,25).$