---
id: 5900f4d11000cf542c50ffe4
title: 'Problem 357: Prime generating integers'
challengeType: 5
forumTopicId: 302017
dashedName: problem-357-prime-generating-integers
---

# --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`.

```js
assert.strictEqual(primeGeneratingIntegers(), 1739023853137);
```

# --seed--

## --seed-contents--

```js
function primeGeneratingIntegers() {

  return true;
}

primeGeneratingIntegers();
```

# --solutions--

```js
// solution required
```