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								---
							 
						 
					
						
							
								
									
										
										
										
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								id: 5900f38f1000cf542c50fea2
							 
						 
					
						
							
								
									
										
										
										
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								challengeType: 5
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								title: 'Problem 35: Circular primes'
							 
						 
					
						
							
								
									
										
										
										
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								videoUrl: ''
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								localeTitle: 'Problema 35: primos circulares'
							 
						 
					
						
							
								
									
										
										
										
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								---
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								## Description
  
						 
					
						
							
								
									
										
										
										
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								< section  id = "description" >  El número, 197, se llama primo circular porque todas las rotaciones de los dígitos: 197, 971 y 719, son primos. Hay trece de tales primos por debajo de 100: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79 y 97. ¿Cuántos primos circulares hay debajo de n, mientras que 100 < = n <  = 1000000? < / 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 > circularPrimes(100)</ code >  debe devolver 13.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    testString: 'assert(circularPrimes(100) == 13, "< code > circularPrimes(100)< / code >  should return 13.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  -  text: < code > circularPrimes(100000)</ code >  debe devolver 43.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    testString: 'assert(circularPrimes(100000) == 43, "< code > circularPrimes(100000)< / code >  should return 43.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  -  text: < code > circularPrimes(250000)</ code >  debe devolver 45.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    testString: 'assert(circularPrimes(250000) == 45, "< code > circularPrimes(250000)< / code >  should return 45.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  -  text: < code > circularPrimes(500000)</ code >  debe devolver 49.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    testString: 'assert(circularPrimes(500000) == 49, "< code > circularPrimes(500000)< / code >  should return 49.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  -  text: < code > circularPrimes(750000)</ code >  debe devolver 49.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    testString: 'assert(circularPrimes(750000) == 49, "< code > circularPrimes(750000)< / code >  should return 49.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  -  text: < code > circularPrimes(1000000)</ code >  debe devolver 55.
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								    testString: 'assert(circularPrimes(1000000) == 55, "< code > circularPrimes(1000000)< / code >  should return 55.");'
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / section >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								## Challenge Seed
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< section  id = 'challengeSeed' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< div  id = 'js-seed' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```js
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								function circularPrimes(n) {
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  // Good luck!
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								  return n;
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								}
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								circularPrimes(1000000);
							 
						 
					
						
							
								
									
										
										
										
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								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / div >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / section >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								## Solution
  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< section  id = 'solution' >  
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								```js
							 
						 
					
						
							
								
									
										
										
										
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								// solution required
							 
						 
					
						
							
								
									
										
										
										
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								```
							 
						 
					
						
							
								
							 
							
								
							 
							
								 
							
							
								< / section >