56 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			56 lines
		
	
	
		
			1.1 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | |||
|  | id: 5900f5311000cf542c510042 | |||
|  | challengeType: 5 | |||
|  | title: 'Problem 451: Modular inverses' | |||
|  | videoUrl: '' | |||
|  | localeTitle: '' | |||
|  | --- | |||
|  | 
 | |||
|  | ## Description
 | |||
|  | <section id="description">考虑数字15.有八个正数小于15,它们与15:1,2,4,7,8,11,13,14相互作用。这些数模15的模数逆是:1,8,4 ,13,2,11,7,14因为1 * 1 mod 15 = 1 2 * 8 = 16 mod 15 = 1 4 * 4 = 16 mod 15 = 1 7 * 13 = 91 mod 15 = 1 11 * 11 = 121 mod 15 = 1 14 * 14 = 196 mod 15 = 1 <p>设I(n)是小于n-1的最大正数m,使得m modulo n的模逆与m本身相等。所以我(15)= 11。我(100)= 51和I(7)= 1。 </p><p>求3Σn≤2·107的ΣI(n) </p></section> | |||
|  | 
 | |||
|  | ## Instructions
 | |||
|  | <section id="instructions"> | |||
|  | </section> | |||
|  | 
 | |||
|  | ## Tests
 | |||
|  | <section id='tests'> | |||
|  | 
 | |||
|  | ```yml | |||
|  | tests: | |||
|  |   - text: '' | |||
|  |     testString: 'assert.strictEqual(euler451(), 153651073760956, "<code>euler451()</code> should return 153651073760956.");' | |||
|  | 
 | |||
|  | ``` | |||
|  | 
 | |||
|  | </section> | |||
|  | 
 | |||
|  | ## Challenge Seed
 | |||
|  | <section id='challengeSeed'> | |||
|  | 
 | |||
|  | <div id='js-seed'> | |||
|  | 
 | |||
|  | ```js | |||
|  | function euler451() { | |||
|  |   // Good luck! | |||
|  |   return true; | |||
|  | } | |||
|  | 
 | |||
|  | euler451(); | |||
|  | 
 | |||
|  | ``` | |||
|  | 
 | |||
|  | </div> | |||
|  | 
 | |||
|  | 
 | |||
|  | 
 | |||
|  | </section> | |||
|  | 
 | |||
|  | ## Solution
 | |||
|  | <section id='solution'> | |||
|  | 
 | |||
|  | ```js | |||
|  | // solution required | |||
|  | ``` | |||
|  | </section> |