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							|  |  |  |  | id: 5900f48f1000cf542c50ffa2 | 
					
						
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										 |  |  |  | title: 'Problema 291: Números primos de Panaitopol' | 
					
						
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										 |  |  |  | challengeType: 5 | 
					
						
							|  |  |  |  | forumTopicId: 301943 | 
					
						
							|  |  |  |  | dashedName: problem-291-panaitopol-primes | 
					
						
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							|  |  |  |  | # --description--
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										 |  |  |  | Um número primo $p$ é chamado de primo de Panaitopol se $p = \frac{x^4 - y^4}{x^3 + y^3}$ para alguns inteiros positivos $x$ e $y$. | 
					
						
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										 |  |  |  | Encontre quantos primos de Panaitopol são menores que $5 × {10}^{15}$. | 
					
						
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							|  |  |  |  | # --hints--
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										 |  |  |  | `panaitopolPrimes()` deve retornar `4037526`. | 
					
						
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							|  |  |  |  | ```js | 
					
						
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										 |  |  |  | assert.strictEqual(panaitopolPrimes(), 4037526); | 
					
						
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										 |  |  |  | ``` | 
					
						
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							|  |  |  |  | # --seed--
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							|  |  |  |  | ## --seed-contents--
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							|  |  |  |  | ```js | 
					
						
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										 |  |  |  | function panaitopolPrimes() { | 
					
						
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							|  |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
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										 |  |  |  | panaitopolPrimes(); | 
					
						
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										 |  |  |  | ``` | 
					
						
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							|  |  |  |  | # --solutions--
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` |