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										 |  |  |  | title: 'Problem 291: Panaitopol Primes' | 
					
						
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										 |  |  |  | challengeType: 5 | 
					
						
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										 |  |  |  | forumTopicId: 301943 | 
					
						
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										 |  |  |  | dashedName: problem-291-panaitopol-primes | 
					
						
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											2018-10-10 18:03:03 -04:00
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										 |  |  |  | # --description--
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											2020-02-18 01:40:55 +09:00
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										 |  |  |  | A prime number p is called a Panaitopol prime if for some positive integersx and y. | 
					
						
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										 |  |  |  | Find how many Panaitopol primes are less than 5×1015. | 
					
						
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										 |  |  |  | # --hints--
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										 |  |  |  | `euler291()` should return 4037526. | 
					
						
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							|  |  |  |  | ```js | 
					
						
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										 |  |  |  | assert.strictEqual(euler291(), 4037526); | 
					
						
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										 |  |  |  | ``` | 
					
						
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										 |  |  |  | # --seed--
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							|  |  |  |  | ## --seed-contents--
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | function euler291() { | 
					
						
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							|  |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
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							|  |  |  |  | euler291(); | 
					
						
							|  |  |  |  | ``` | 
					
						
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										 |  |  |  | # --solutions--
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											2020-08-13 17:24:35 +02:00
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										 |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` |