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>
		
			
				
	
	
		
			64 lines
		
	
	
		
			862 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			64 lines
		
	
	
		
			862 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | ||
| id: 5900f51e1000cf542c510030
 | ||
| challengeType: 5
 | ||
| isHidden: false
 | ||
| title: 'Problem 432: Totient sum'
 | ||
| forumTopicId: 302103
 | ||
| ---
 | ||
| 
 | ||
| ## Description
 | ||
| <section id='description'>
 | ||
| Let S(n,m) = ∑φ(n × i) for 1 ≤ i ≤ m. (φ is Euler's totient function)
 | ||
| You are given that S(510510,106 )= 45480596821125120.
 | ||
| 
 | ||
| 
 | ||
| Find S(510510,1011).
 | ||
| Give the last 9 digits of your answer.
 | ||
| </section>
 | ||
| 
 | ||
| ## Instructions
 | ||
| <section id='instructions'>
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Tests
 | ||
| <section id='tests'>
 | ||
| 
 | ||
| ```yml
 | ||
| tests:
 | ||
|   - text: <code>euler432()</code> should return 754862080.
 | ||
|     testString: assert.strictEqual(euler432(), 754862080);
 | ||
| 
 | ||
| ```
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Challenge Seed
 | ||
| <section id='challengeSeed'>
 | ||
| 
 | ||
| <div id='js-seed'>
 | ||
| 
 | ||
| ```js
 | ||
| function euler432() {
 | ||
|   // Good luck!
 | ||
|   return true;
 | ||
| }
 | ||
| 
 | ||
| euler432();
 | ||
| ```
 | ||
| 
 | ||
| </div>
 | ||
| 
 | ||
| 
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Solution
 | ||
| <section id='solution'>
 | ||
| 
 | ||
| ```js
 | ||
| // solution required
 | ||
| ```
 | ||
| 
 | ||
| </section>
 |