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]:

    
def superman():                 #defines function superman (watched the movie befor working on this)
    for a in range(1,501):      #makes "a" avariable in the range 1-500
        for b in range(a+1,501):#makes "b" a variable between 1+a and 500 making it always larger than a
          c = 1000 - a - b      #checks to ensure that a+b+c=1000
          if (a*a + b*b == c*c):#checks if the numbers are pythagorean triplets
            return a*b*c        #returns the value we are looking for
print (superman())              #prints that value

31875000



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In [10]:

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