freeCodeCamp/curriculum/challenges/portuguese/08-coding-interview-prep/project-euler/problem-216-investigating-t...

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---
id: 5900f4451000cf542c50ff57
challengeType: 5
title: 'Problem 216: Investigating the primality of numbers of the form 2n2-1'
videoUrl: ''
localeTitle: 'Problema 216: Investigando a primalidade dos números da forma 2n2-1'
---
## Description
<section id="description"> Considere os números t (n) da forma t (n) = 2n2-1 com n&gt; 1. Os primeiros números são 7, 17, 31, 49, 71, 97, 127 e 161. Acontece que apenas 49 = 7 * 7 e 161 = 7 * 23 não são primos. Para n ≤ 10000 existem 2202 números t (n) que são primos. <p> Quantos números t (n) são primos para n ≤ 50.000.000? </p></section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler216()</code> deve retornar 5437849.
testString: 'assert.strictEqual(euler216(), 5437849, "<code>euler216()</code> should return 5437849.");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler216() {
// Good luck!
return true;
}
euler216();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>