43 lines
		
	
	
		
			613 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			43 lines
		
	
	
		
			613 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
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| id: 5900f51e1000cf542c510030
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| title: 'Problem 432: Totient sum'
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| challengeType: 5
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| forumTopicId: 302103
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| dashedName: problem-432-totient-sum
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| ---
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| 
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| # --description--
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| 
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| Let S(n,m) = ∑φ(n × i) for 1 ≤ i ≤ m. (φ is Euler's totient function)
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| 
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| You are given that S(510510,106 )= 45480596821125120.
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| 
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| Find S(510510,1011). Give the last 9 digits of your answer.
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| 
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| # --hints--
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| 
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| `euler432()` should return 754862080.
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| 
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| ```js
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| assert.strictEqual(euler432(), 754862080);
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| ```
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| 
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| # --seed--
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| 
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| ## --seed-contents--
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| 
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| ```js
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| function euler432() {
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| 
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|   return true;
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| }
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| 
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| euler432();
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| ```
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| 
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| # --solutions--
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| 
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| ```js
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| // solution required
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| ```
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