freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-443-gcd-sequence.md

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---
id: 5900f5271000cf542c51003a
challengeType: 5
title: 'Problem 443: GCD sequence'
forumTopicId: 302115
---
## Description
<section id='description'>
Let g(n) be a sequence defined as follows:
g(4) = 13,
g(n) = g(n-1) + gcd(n, g(n-1)) for n > 4.
The first few values are:
n 4567891011121314151617181920...
g(n) 1314161718272829303132333451545560...
<!-- TODO Use MathJax -->
You are given that g(1 000) = 2524 and g(1 000 000) = 2624152.
Find g(1015).
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler443()</code> should return 2744233049300770.
testString: assert.strictEqual(euler443(), 2744233049300770);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler443() {
return true;
}
euler443();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>