2021-06-15 00:49:18 -07:00
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---
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id: 5900f48f1000cf542c50ffa2
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2021-11-18 14:52:12 -08:00
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title: 'Problema 291: Números primos de Panaitopol'
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2021-06-15 00:49:18 -07:00
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challengeType: 5
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forumTopicId: 301943
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dashedName: problem-291-panaitopol-primes
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---
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# --description--
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2021-11-18 14:52:12 -08:00
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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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2021-06-15 00:49:18 -07:00
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2021-11-18 14:52:12 -08:00
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Encontre quantos primos de Panaitopol são menores que $5 × {10}^{15}$.
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2021-06-15 00:49:18 -07:00
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# --hints--
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2021-11-18 14:52:12 -08:00
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`panaitopolPrimes()` deve retornar `4037526`.
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2021-06-15 00:49:18 -07:00
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```js
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2021-11-18 14:52:12 -08:00
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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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2021-11-18 14:52:12 -08:00
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function panaitopolPrimes() {
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return true;
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}
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2021-11-18 14:52:12 -08:00
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panaitopolPrimes();
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2021-06-15 00:49:18 -07:00
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```
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# --solutions--
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```js
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// solution required
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```
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