--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.

assert.strictEqual(panaitopolPrimes(), 4037526);

--seed--

--seed-contents--

function panaitopolPrimes() {

  return true;
}

panaitopolPrimes();

--solutions--

// solution required