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								---
							 
						 
					
						
							
								
									
										
										
										
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								id: 5900f5361000cf542c510048
							 
						 
					
						
							
								
									
										
										
										
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								challengeType: 5
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								title: 'Problem 457: A polynomial modulo the square of a prime'
							 
						 
					
						
							
								
									
										
										
										
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								videoUrl: ''
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								localeTitle: 'Problema 457: un polinomio modulo el cuadrado de un primo'
							 
						 
					
						
							
								
									
										
										
										
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								---
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								## Description
  
						 
					
						
							
								
									
										
										
										
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								< section  id = "description" >  Sea f (n) = n2 - 3n - 1. Sea p un primo. Sea R (p) el número entero positivo más pequeño n tal que f (n) mod p2 = 0 si existe tal entero n, de lo contrario R (p) = 0. < p >  Sea SR (L) ∑R (p) para todos los primos que no excedan de L. < / p > < p >  Encuentra SR (107). < / p > < / section >  
						 
					
						
							
								
									
										
										
										
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								## Instructions
  
						 
					
						
							
								
									
										
										
										
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								< section  id = "instructions" >  
						 
					
						
							
								
									
										
										
										
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								< / section >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								## Tests
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< section  id = 'tests' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```yml
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								tests:
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  -  text: < code > euler457()</ code >  debe devolver 2647787126797397000.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    testString: 'assert.strictEqual(euler457(), 2647787126797397000, "< code > euler457()< / code >  should return 2647787126797397000.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / section >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								## Challenge Seed
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< section  id = 'challengeSeed' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< div  id = 'js-seed' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								function euler457() {
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  // Good luck!
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  return true;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								}
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								euler457();
							 
						 
					
						
							
								
									
										
										
										
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								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / div >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / section >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								## Solution
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< section  id = 'solution' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								// solution required
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / section >