---
id: 5900f3a81000cf542c50febb
title: 'Problem 60: Prime pair sets'
challengeType: 5
forumTopicId: 302172
dashedName: problem-60-prime-pair-sets
---

# --description--

The primes 3, 7, 109, and 673, are quite remarkable. By taking any two primes and concatenating them in any order the result will always be prime. For example, taking 7 and 109, both 7109 and 1097 are prime. The sum of these four primes, 792, represents the lowest sum for a set of four primes with this property.

Find the lowest sum for a set of five primes for which any two primes concatenate to produce another prime.

# --hints--

`primePairSets()` should return a number.

```js
assert(typeof primePairSets() === 'number');
```

`primePairSets()` should return 26033.

```js
assert.strictEqual(primePairSets(), 26033);
```

# --seed--

## --seed-contents--

```js
function primePairSets() {

  return true;
}

primePairSets();
```

# --solutions--

```js
// solution required
```