43 lines
		
	
	
		
			643 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			43 lines
		
	
	
		
			643 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4671000cf542c50ff79 | ||
|  | title: 'Problem 249: Prime Subset Sums' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 301896 | ||
|  | dashedName: problem-249-prime-subset-sums | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | Let S = {2, 3, 5, ..., 4999} be the set of prime numbers less than 5000. | ||
|  | 
 | ||
|  | Find the number of subsets of S, the sum of whose elements is a prime number. | ||
|  | 
 | ||
|  | Enter the rightmost 16 digits as your answer. | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler249()` should return 9275262564250418. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler249(), 9275262564250418); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler249() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler249(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |