Special Pythagorean triplet
Problem 9
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.
Find the product abc.
def run(limit=1000):
for a in range(1, limit):
for b in range(1, limit):
c = (a * a + b * b)**0.5
if (a + b + c == limit):
return int(a * b * c)