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 [65]:
```for a in range(1,1000):
for b in range(a + 1, 1000 - a):
c = 1000 - a - b
if (a**2 + b**2) == (c**2):
print(a * b * c)

```
```

```
In [ ]:
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