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							|  |  |  | id: 5900f4d11000cf542c50ffe4 | 
					
						
							|  |  |  | title: 'Problem 357: Prime generating integers' | 
					
						
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										 |  |  | challengeType: 5 | 
					
						
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										 |  |  | forumTopicId: 302017 | 
					
						
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										 |  |  | dashedName: problem-357-prime-generating-integers | 
					
						
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										 |  |  | # --description--
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										 |  |  | Consider the divisors of 30: 1,2,3,5,6,10,15,30. | 
					
						
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										 |  |  | It can be seen that for every divisor d of 30, d+30/d is prime. | 
					
						
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										 |  |  | Find the sum of all positive integers n not exceeding 100 000 000such that for every divisor d of n, d+n/d is prime. | 
					
						
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										 |  |  | # --hints--
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										 |  |  | `euler357()` should return 1739023853137. | 
					
						
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										 |  |  | ```js | 
					
						
							|  |  |  | assert.strictEqual(euler357(), 1739023853137); | 
					
						
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										 |  |  | ``` | 
					
						
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										 |  |  | # --seed--
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										 |  |  | ## --seed-contents--
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							|  |  |  | ```js | 
					
						
							|  |  |  | function euler357() { | 
					
						
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										 |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | euler357(); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | # --solutions--
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							|  |  |  | ```js | 
					
						
							|  |  |  | // solution required | 
					
						
							|  |  |  | ``` |