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

## Description
<section id='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?
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler218()</code> should return 0.
    testString: assert.strictEqual(euler218(), 0);

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler218() {

  return true;
}

euler218();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>