freeCodeCamp/curriculum/challenges/italian/10-coding-interview-prep/project-euler/problem-355-maximal-coprime...

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---
id: 5900f4d01000cf542c50ffe2
title: 'Problem 355: Maximal coprime subset'
challengeType: 5
forumTopicId: 302015
dashedName: problem-355-maximal-coprime-subset
---
# --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).
# --hints--
`euler355()` should return 1726545007.
```js
assert.strictEqual(euler355(), 1726545007);
```
# --seed--
## --seed-contents--
```js
function euler355() {
return true;
}
euler355();
```
# --solutions--
```js
// solution required
```