Ononot — A Pythagorean triple (a, b, c) is 'primitive' if \gcd(a, b,

Diophantine Equationshard

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A Pythagorean triple $(a, b, c)$ is 'primitive' if $\gcd(a, b, c) = 1$ . Which formula generates all such triples for coprime $m > n > 0$ of opposite parity?