64 lines
922 B
Markdown
64 lines
922 B
Markdown
|
---
|
||
|
id: 5900f47b1000cf542c50ff8d
|
||
|
challengeType: 5
|
||
|
title: 'Problem 271: Modular Cubes, part 1'
|
||
|
forumTopicId: 301921
|
||
|
---
|
||
|
|
||
|
## Description
|
||
|
<section id='description'>
|
||
|
For a positive number n, define S(n) as the sum of the integers x, for which 1<x<n andx3≡1 mod n.
|
||
|
|
||
|
|
||
|
When n=91, there are 8 possible values for x, namely : 9, 16, 22, 29, 53, 74, 79, 81.
|
||
|
Thus, S(91)=9+16+22+29+53+74+79+81=363.
|
||
|
|
||
|
Find S(13082761331670030).
|
||
|
</section>
|
||
|
|
||
|
## Instructions
|
||
|
<section id='instructions'>
|
||
|
|
||
|
</section>
|
||
|
|
||
|
## Tests
|
||
|
<section id='tests'>
|
||
|
|
||
|
```yml
|
||
|
tests:
|
||
|
- text: <code>euler271()</code> should return 4617456485273130000.
|
||
|
testString: assert.strictEqual(euler271(), 4617456485273130000);
|
||
|
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
## Challenge Seed
|
||
|
<section id='challengeSeed'>
|
||
|
|
||
|
<div id='js-seed'>
|
||
|
|
||
|
```js
|
||
|
function euler271() {
|
||
|
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
euler271();
|
||
|
```
|
||
|
|
||
|
</div>
|
||
|
|
||
|
|
||
|
|
||
|
</section>
|
||
|
|
||
|
## Solution
|
||
|
<section id='solution'>
|
||
|
|
||
|
```js
|
||
|
// solution required
|
||
|
```
|
||
|
|
||
|
</section>
|