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

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---
id: 5900f5271000cf542c51003a
title: 'Problem 443: GCD sequence'
challengeType: 5
forumTopicId: 302115
dashedName: problem-443-gcd-sequence
---
# --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).
# --hints--
`euler443()` should return 2744233049300770.
```js
assert.strictEqual(euler443(), 2744233049300770);
```
# --seed--
## --seed-contents--
```js
function euler443() {
return true;
}
euler443();
```
# --solutions--
```js
// solution required
```