Project Euler: Problem 9

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 abc.



In [5]:

    
# YOUR CODE HERE
product = 0
for a in range(1,500):
    for b in range(1,500):  
            if (a**2 + b**2 == (1000-a-b)**2):
                product = int(a*b*((a**2 + b**2)**.5))
                
print(product)

31875000



In [ ]:

    
# This cell will be used for grading, leave it at the end of the notebook.