43 lines
		
	
	
		
			708 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			43 lines
		
	
	
		
			708 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f47d1000cf542c50ff8f | ||
|  | title: 'Problem 272: Modular Cubes, part 2' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 301922 | ||
|  | dashedName: problem-272-modular-cubes-part-2 | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | For a positive number n, define C(n) as the number of the integers x, for which 1 | ||
|  | 
 | ||
|  | When n=91, there are 8 possible values for x, namely : 9, 16, 22, 29, 53, 74, 79, 81. Thus, C(91)=8. | ||
|  | 
 | ||
|  | Find the sum of the positive numbers n≤1011 for which C(n)=242. | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler272()` should return 8495585919506151000. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler272(), 8495585919506151000); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler272() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler272(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |