# A number theory problem by Franz Louis Cesista

$${a, b, c}$$ is a Primary Pythagorean Triple (PPT) when: $${a}^{2}+{b}^{2}={c}^{2}$$, $${a, b, c} \in \mathbb{Z}$$, and $${a, b, c}$$ are relatively prime.

Ex. $${3, 4, 5}$$ is a PPT while $${6, 8, 10}$$ isn't.

How many PPTs are there where $$a, b, c\leq 1000$$?

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