---
id: 5900f3b91000cf542c50fecc
challengeType: 5
title: 'Problem 77: Prime summations'
forumTopicId: 302190
---

## Description
<section id='description'>

It is possible to write ten as the sum of primes in exactly five different ways:

<div style='margin-left: 4em;'>
  7 + 3<br>
  5 + 5<br>
  5 + 3 + 2<br>
  3 + 3 + 2 + 2<br>
  2 + 2 + 2 + 2 + 2<br>
</div>

What is the first value which can be written as the sum of primes in over five thousand different ways?

</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>primeSummations()</code> should return a number.
    testString: assert(typeof primeSummations() === 'number');
  - text: <code>primeSummations()</code> should return 71.
    testString: assert.strictEqual(primeSummations(), 71);

```

</section>

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

<div id='js-seed'>

```js
function primeSummations() {

  return true;
}

primeSummations();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```

</section>