49 lines
		
	
	
		
			741 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			49 lines
		
	
	
		
			741 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f5271000cf542c51003a | ||
|  | title: 'Problem 443: GCD sequence' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 302115 | ||
|  | dashedName: problem-443-gcd-sequence | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | Let g(n) be a sequence defined as follows: g(4) = 13, g(n) = g(n-1) + gcd(n, g(n-1)) for n > 4. | ||
|  | 
 | ||
|  | The first few values are: | ||
|  | 
 | ||
|  | n 4567891011121314151617181920... g(n) 1314161718272829303132333451545560... | ||
|  | 
 | ||
|  | <!-- TODO Use MathJax --> | ||
|  | 
 | ||
|  | You are given that g(1 000) = 2524 and g(1 000 000) = 2624152. | ||
|  | 
 | ||
|  | Find g(1015). | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler443()` should return 2744233049300770. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler443(), 2744233049300770); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler443() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler443(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |