Project Euler, Problem #9, Python

#! /usr/bin/env python3

# 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 = 25 = 5^2. There exists exactly one Pythagorean
# triplet for which a + b + c = 1000. Find the product a * b * c.

for c in range(997, 2, -1):
    for b in range((999 - c) // 2 + 1, 1, -1):
        a = 1000 - (b + c)
        if a ** 2 + b ** 2 == c ** 2:
            print(a * b * c)
            exit(0)

# 31875000
# 6 function calls in 0.168 seconds