A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,

a2 + b2 = c2

For example, 32 + 42 = 9 + 16 = 25 = 52.

There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.

In [13]:

def py_trip(num):
    for a in range(0, num, 1):
        for b in range(a+1, num, 1):
            for c in range(b+1, num, 1):
                if a**2 + b**2 == c**2 and a+b+c == num:
                    return a, b, c, a*b*c

In [14]:

py_trip(1000)

Out[14]:

(200, 375, 425, 31875000)

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