---
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+30/d is prime.

Find the sum of all positive integers n not exceeding 100 000 000such that for every divisor d of n, d+n/d is prime.

# --hints--

`euler357()` should return 1739023853137.

```js
assert.strictEqual(euler357(), 1739023853137);
```

# --seed--

## --seed-contents--

```js
function euler357() {

  return true;
}

euler357();
```

# --solutions--

```js
// solution required
```