---
id: 5900f48f1000cf542c50ffa2
title: 'Problem 291: Panaitopol Primes'
challengeType: 5
forumTopicId: 301943
dashedName: problem-291-panaitopol-primes
---

# --description--

A prime number $p$ is called a Panaitopol prime if $p = \frac{x^4 - y^4}{x^3 + y^3}$ for some positive integers $x$ and $y$.

Find how many Panaitopol primes are less than $5 × {10}^{15}$.

# --hints--

`panaitopolPrimes()` should return `4037526`.

```js
assert.strictEqual(panaitopolPrimes(), 4037526);
```

# --seed--

## --seed-contents--

```js
function panaitopolPrimes() {

  return true;
}

panaitopolPrimes();
```

# --solutions--

```js
// solution required
```