---
id: 5900f3ba1000cf542c50fecd
challengeType: 5
title: 'Problem 78: Coin partitions'
---

## Description
<section id='description'>
Let p(n) represent the number of different ways in which n coins can be separated into piles. For example, five coins can be separated into piles in exactly seven different ways, so p(5)=7.

OOOOO
OOOO   O
OOO   OO
OOO   O   O
OO   OO   O
OO   O   O   O
O   O   O   O   O

Find the least value of n for which p(n) is divisible by one million.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler78()</code> should return 55374.
    testString: assert.strictEqual(euler78(), 55374, '<code>euler78()</code> should return 55374.');

```

</section>

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

<div id='js-seed'>

```js
function euler78() {
  // Good luck!
  return true;
}

euler78();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>