---
id: 5900f3ef1000cf542c50ff02
challengeType: 5
title: 'Problem 131: Prime cube partnership'
---
## 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?
## Instructions
## Tests
```yml
tests:
- text: euler131() should return 173.
testString: assert.strictEqual(euler131(), 173, 'euler131() should return 173.');
```
## Challenge Seed
```js
function euler131() {
// Good luck!
return true;
}
euler131();
```