https://projecteuler.net/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 [2]:
rng = range(1, 1000)
for a in rng:
for b in rng:
for c in rng:
if a**2 + b**2 == c**2 and a + b + c == 1000:
print(a*b*c)
# Takes 5-10 minutes
In [ ]:
# This cell will be used for grading, leave it at the end of the notebook.