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											2018-10-10 18:03:03 -04:00
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							|  |  |  |  | id: 5900f4451000cf542c50ff57 | 
					
						
							|  |  |  |  | challengeType: 5 | 
					
						
							|  |  |  |  | title: 'Problem 216: Investigating the primality of numbers of the form 2n2-1' | 
					
						
							|  |  |  |  | videoUrl: '' | 
					
						
							|  |  |  |  | localeTitle: 问题216:调查2n2-1形式的数字的素数 | 
					
						
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							|  |  |  |  | ## Description
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							|  |  |  |  | <section id="description">考虑形式为t(n)= 2n2-1的数字t(n),其中n> 1.第一个这样的数字是7,17,31,49,71,97,127和161.事实证明只有49 = 7 * 7和161 = 7 * 23不是素数。对于n≤10000,有2202个数字t(n)是素数。 <p>对于n≤50,000,000,有多少个数t(n)是素数? </p></section> | 
					
						
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							|  |  |  |  | ## Instructions
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							|  |  |  |  | <section id="instructions"> | 
					
						
							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Tests
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							|  |  |  |  | <section id='tests'> | 
					
						
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							|  |  |  |  | ```yml | 
					
						
							|  |  |  |  | tests: | 
					
						
							|  |  |  |  |   - text: <code>euler216()</code>应该返回5437849。 | 
					
						
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										 |  |  |  |     testString: assert.strictEqual(euler216(), 5437849); | 
					
						
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							|  |  |  |  | ``` | 
					
						
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							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Challenge Seed
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							|  |  |  |  | <section id='challengeSeed'> | 
					
						
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							|  |  |  |  | <div id='js-seed'> | 
					
						
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | function euler216() { | 
					
						
							|  |  |  |  |   // Good luck! | 
					
						
							|  |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
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							|  |  |  |  | euler216(); | 
					
						
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							|  |  |  |  | ``` | 
					
						
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							|  |  |  |  | </div> | 
					
						
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							|  |  |  |  | </section> | 
					
						
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							|  |  |  |  | ## Solution
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							|  |  |  |  | <section id='solution'> | 
					
						
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` | 
					
						
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							|  |  |  |  | /section> |