---
id: 5900f3ef1000cf542c50ff02
challengeType: 5
title: 'Problem 131: Prime cube partnership'
forumTopicId: 301759
---

## Description
<section id='description'>
There are some prime values, p, for which there exists a positive integer, n, such that the expression n3 + n2p is a perfect cube.
For example, when p = 19, 83 + 82×19 = 123.
What is perhaps most surprising is that for each prime with this property the value of n is unique, and there are only four such primes below one-hundred.
How many primes below one million have this remarkable property?
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler131()</code> should return 173.
    testString: assert.strictEqual(euler131(), 173);

```

</section>

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

<div id='js-seed'>

```js
function euler131() {
  // Good luck!
  return true;
}

euler131();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>