Problem 249. Project Euler: Problem 9, Pythagorean numbers

Created by Doug Hull

Difficulty:Rate

Solve Later
Add To GroupÃ‚

A Pythagorean triplet is a set of three natural numbers, a b c, for which,
 a^2 + b^2 = c^2
For example,
 3^2 + 4^2 = 9 + 16 = 5^2 = 25.
There exists exactly one Pythagorean triplet for which a + b + c = N (the input).
Find the product abc.
Thank you to Project Euler Problem 9.

Solve

Solution Stats

2681 Solutions
1299 Solvers

Last Solution submitted on Mar 10, 2025

Last 200 Solutions

Problem Comments

6 Comments

6 Comments

Show 3 older comments

Srishti Saha on 13 Oct 2018

@ Doug Hall, I have solved all the problems in the series. However, I have not received the badge and the associated scores on completion of the series. Can you please help me with this?

Brandon on 23 May 2023

Wow, all the triangles are in the ratio of 8:15:17? Pretty huge oversight.

Christos Saragiotis on 26 Nov 2023

People have realized that all test cases are based on the primitive Pythagorean triplet (8, 15, 17) and the solutions are full of hacks. This is quite annoying as one cannot compare one's solution with other valid ones.

Solution Comments

Show comments

Group

Project Euler II

12 Problems
51 Finishers

Problem Recent Solvers1299

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!