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 [13]:

    
pythtrip = [a+b+c for a in range(1,500) for b in range(1,500) for c in range(1,500) if a**2+b**2==c**2]
if 1000 in pythtrip:
    print(pythtrip.index(1000))



In [14]:

    
pythtriptup = [(a,b,c) for a in range(1,500) for b in range(1,500) for c in range(1,500) if a**2+b**2==c**2]
print(pythtriptup[463])









    



(200, 375, 425)



In [15]:

    
print(pythtriptup[463][0]*pythtriptup[463][1]*pythtriptup[463][2])

31875000



In [ ]:

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