---
id: 5900f52c1000cf542c51003e
challengeType: 5
title: 'Problem 447: Retractions C'
videoUrl: ''
localeTitle: 'Problema 447: Retractions C'
---

## Description
<section id="description"> Para cada inteiro n&gt; 1, a família de funções fn, a, b é definida por fn, a, b (x) ≡ax + b mod n para a, b, x inteiro e 0 <p> F (N) = ∑R (n) para 2≤n≤N. F (107) ≡638042271 (mod. 1 000 000 007). </p><p> Encontre F (1014) (mod 1 000 000 007). </p></section>

## Instructions
<section id="instructions">
</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler447()</code> deve retornar 530553372.
    testString: 'assert.strictEqual(euler447(), 530553372, "<code>euler447()</code> should return 530553372.");'

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler447() {
  // Good luck!
  return true;
}

euler447();

```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>