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 [7]:

    
#This definately is not the most effecient way to run this code but it works(:
#these loops ensure i,j,k not equal and covers all possibilities.
for i in range(1000):
    for j in range(i,1000-i):
        for k in range(j,1000-j):
            if i+j+k==1000 and i**2+j**2==k**2 and i<j<k:
                print(i*j*k)

31875000



In [4]:

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