---
id: 5900f4d11000cf542c50ffe4
challengeType: 5
title: 'Problem 357: Prime generating integers'
---

## Description
<section id='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.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler357()</code> should return 1739023853137.
    testString: assert.strictEqual(euler357(), 1739023853137, '<code>euler357()</code> should return 1739023853137.');

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler357() {
  // Good luck!
  return true;
}

euler357();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>
