Search Problems   RSS Feed
projecteuler.net

Special Pythagorean Triplet

 Published on Friday, 25th January 2002, 06:00 pm; Solved by 371632;
Difficulty rating: 5%

Problem 9

A Pythagorean triplet is a set of three natural numbers, $a \lt b \lt c$, for which, $$a^2 + b^2 = c^2.$$

For example, $3^2 + 4^2 = 9 + 16 = 25 = 5^2$.

There exists exactly one Pythagorean triplet for which $a + b + c = 1000$.
Find the product $abc$.