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Use Euclid's formula.
Take any two integers m and n that are coprime and let m > n (if not, just swap them around).
Then
a = m2 - n2
b = 2mn
and
c = m2 + n2
form a primitive Pythogorean triple.
And since (a, b, c) is a Pythagorean triple then so is (k*a, k*b, k*c) for any integer k, except that the latter is not primitive.
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∙ 11y ago
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