freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-355-maximal-coprime...

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---
id: 5900f4d01000cf542c50ffe2
challengeType: 5
title: 'Problem 355: Maximal coprime subset'
forumTopicId: 302015
---
## Description
<section id='description'>
Define Co(n) to be the maximal possible sum of a set of mutually co-prime elements from {1, 2, ..., n}. For example Co(10) is 30 and hits that maximum on the subset {1, 5, 7, 8, 9}.
You are given that Co(30) = 193 and Co(100) = 1356.
Find Co(200000).
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler355()</code> should return 1726545007.
testString: assert.strictEqual(euler355(), 1726545007);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler355() {
// Good luck!
return true;
}
euler355();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>