2021-06-15 07:49:18 +00:00
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---
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id: 5900f48f1000cf542c50ffa2
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2022-03-01 16:09:26 +00:00
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title: 'Problema 291: Primi di Panaitopol'
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2021-06-15 07:49:18 +00:00
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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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2022-03-01 16:09:26 +00:00
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Un numero primo $p$ viene chiamato primo Panaitopol se $p = \frac{x^4 - y^4}{x^3 + y^3}$ per qualche numero positivo $x$ e $y$.
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2021-06-15 07:49:18 +00:00
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2022-03-01 16:09:26 +00:00
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Trova quanti primi di Panaitopol sono sotto $5 × {10}^{15}$.
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2021-06-15 07:49:18 +00:00
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# --hints--
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2022-03-01 16:09:26 +00:00
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`panaitopolPrimes()` dovrebbe restituire `4037526`.
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2021-06-15 07:49:18 +00:00
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```js
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2022-03-01 16:09:26 +00:00
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assert.strictEqual(panaitopolPrimes(), 4037526);
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2021-06-15 07:49:18 +00:00
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```
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# --seed--
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## --seed-contents--
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```js
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2022-03-01 16:09:26 +00:00
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function panaitopolPrimes() {
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2021-06-15 07:49:18 +00:00
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return true;
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}
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2022-03-01 16:09:26 +00:00
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panaitopolPrimes();
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2021-06-15 07:49:18 +00:00
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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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