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

# --description--

Let $S = \\{2, 3, 5, \ldots, 4999\\}$ 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--

`primeSubsetSums()` should return `9275262564250418`.

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

# --seed--

## --seed-contents--

```js
function primeSubsetSums() {

  return true;
}

primeSubsetSums();
```

# --solutions--

```js
// solution required
```