--description--

Consider the divisors of 30: 1, 2, 3, 5, 6, 10, 15, 30.

It can be seen that for every divisor $d$ of 30, $d + \frac{30}{d}$ is prime.

Find the sum of all positive integers $n$ not exceeding $100\,000\,000$ such that for every divisor $d$ of $n$, $d + \frac{n}{d}$ is prime.

--hints--

primeGeneratingIntegers() should return 1739023853137.

assert.strictEqual(primeGeneratingIntegers(), 1739023853137);

--seed--

--seed-contents--

function primeGeneratingIntegers() {

  return true;
}

primeGeneratingIntegers();

--solutions--

// solution required