Pythagorean quadruple

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A set of four positive integers a, b, c and d such that a2 + b2c2 = d2 is called a Pythagorean quadruple.

Examples of primitive Pythagorean quadruples include (1,2,2,3), (2,3,6,7), (4,4,7,9), (1,4,8,9), (6,6,7,11), and (2,6,9,11).

(3,8,36,37) is an quadruple that is not generated by the standard generation scheme.