Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com> Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> Co-authored-by: Beau Carnes <beaucarnes@gmail.com>
		
			
				
	
	
		
			65 lines
		
	
	
		
			953 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			65 lines
		
	
	
		
			953 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | |
| id: 5900f47b1000cf542c50ff8d
 | |
| challengeType: 5
 | |
| isHidden: false
 | |
| 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() {
 | |
|   // Good luck!
 | |
|   return true;
 | |
| }
 | |
| 
 | |
| euler271();
 | |
| ```
 | |
| 
 | |
| </div>
 | |
| 
 | |
| 
 | |
| 
 | |
| </section>
 | |
| 
 | |
| ## Solution
 | |
| <section id='solution'>
 | |
| 
 | |
| ```js
 | |
| // solution required
 | |
| ```
 | |
| 
 | |
| </section>
 |