How to Find out All Pythagorean Triplets in Python

In this example we will show how to find out all Pythagorean triplets in a given range with Python.

Source Code

#! /usr/bin/env python3
# -*- coding: utf-8 -*-

upperLimit = int(input("Please input the upper range: "))
print("All the Pythagorean triplets between 1 and {} are: ".format(upperLimit))
z = 1
m = 2
while z < upperLimit: for n in range(1, m): if m > n:
            x = 2 * m * n
            y = m * m - n * n
            z = m * m + n * n
            if z > upperLimit:
                break
            print(x, y, z)
    m += 1

Output:

Please input the upper range: 15
All the Pythagorean triplets between 1 and 15 are: 
4 3 5
6 8 10
12 5 13

Please input the upper range: 25
All the Pythagorean triplets between 1 and 25 are: 
4 3 5
6 8 10
12 5 13
8 15 17
16 12 20
24 7 25