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