Pythagorean Triple

A Pythagorean triple is a set of three positive integers a, b and c satisfying a squared plus b squared equals c squared, commonly written (a, b, c), with (3, 4, 5) the best known example. The name comes from the Pythagorean theorem, since a triangle whose sides form such a triple is always a right triangle, called a Pythagorean triangle. A triple is called primitive when a, b and c share no common divisor greater than 1, as with (3, 4, 5); a triple such as (6, 8, 10) is a scaled, non-primitive version of it, and every Pythagorean triple can be reduced to a unique primitive one by dividing through by the greatest common divisor of its three numbers. Such triples have ancient roots, with the oldest known record appearing on a Babylonian clay tablet from around 1800 BC. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/