---
id: 5900f4461000cf542c50ff59
title: 'Problem 218: Perfect right-angled triangles'
challengeType: 5
forumTopicId: 301860
dashedName: problem-218-perfect-right-angled-triangles
---

# --description--

Consider the right angled triangle with sides a=7, b=24 and c=25.

The area of this triangle is 84, which is divisible by the perfect numbers 6 and 28.

Moreover it is a primitive right angled triangle as gcd(a,b)=1 and gcd(b,c)=1.

Also c is a perfect square.

We will call a right angled triangle perfect if -it is a primitive right angled triangle -its hypotenuse is a perfect square

We will call a right angled triangle super-perfect if -it is a perfect right angled triangle and -its area is a multiple of the perfect numbers 6 and 28.

How many perfect right-angled triangles with c≤1016 exist that are not super-perfect?

# --hints--

`euler218()` should return 0.

```js
assert.strictEqual(euler218(), 0);
```

# --seed--

## --seed-contents--

```js
function euler218() {

  return true;
}

euler218();
```

# --solutions--

```js
// solution required
```