---
id: 5900f4671000cf542c50ff79
title: 'Problem 249: Prime Subset Sums'
challengeType: 5
forumTopicId: 301896
dashedName: problem-249-prime-subset-sums
---

# --description--

Let S = {2, 3, 5, ..., 4999} be the set of prime numbers less than 5000.

Find the number of subsets of S, the sum of whose elements is a prime number.

Enter the rightmost 16 digits as your answer.

# --hints--

`euler249()` should return 9275262564250418.

```js
assert.strictEqual(euler249(), 9275262564250418);
```

# --seed--

## --seed-contents--

```js
function euler249() {

  return true;
}

euler249();
```

# --solutions--

```js
// solution required
```