Pythagorean Triplets generator

Generate all Primitive Pythagorean Triplets with c less than a given number.

A Pythagorean Triplet is three numbers (a,b,c) such that

\displaystyle a^2 + b^2 = c^2

A Primitive Pythagorean Triplet means that there exists no such k \in \mathbb{Z} that is a common divisor for a,b and c. Or stated in other words a,b,c are coprimes.

Based on the primitive Pythagorean triplets you can generate all other triplets by multiplying a,b and c by an integer k.

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