Pythagorean Quadruple

February 25, 2020

A Pythagorean quadruple consists of four positive integers a, b, c and d such that abcd and a² + b² + c² = d². For instance, (2 3 6 7) is a Pythagorean quadruple because 2² + 3² + 6² = 4 + 9 + 36 = 49 = 7².

Your task is to write a program that counts the Pythagorian quadruples with a, b, c less than or equal to some given N, and compute the number of Pythagorian quadruples with N = 1000. When you are finished, you are welcome to read or run a suggested solution, or to post your own solution or discuss the exercise in the comments below.

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