Primitive Pythagorean Triple

A classroom observation. A colleague a shared an observation that had come up during an exploratory class he was taking at the middle school level. The topic being discussed was Pythagorean Triples, i.e., triples (a, b, c) of positive integers satisfying the relation a 2 + b 2 = c 2 . If the three integers also happen to be relatively prime to each other, i.e., share no common factors exceeding 1, then the triple is called a ‘Primitive Pythagorean Triple’ (PPT for short).

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