---
id: 5900f3c51000cf542c50fed8
challengeType: 5
title: 'Problem 87: Prime power triples'
---
## Description
The smallest number expressible as the sum of a prime square, prime cube, and prime fourth power is 28. In fact, there are exactly four numbers below fifty that can be expressed in such a way:
28 = 22 + 23 + 24
33 = 32 + 23 + 24
49 = 52 + 23 + 24
47 = 22 + 33 + 24
How many numbers below fifty million can be expressed as the sum of a prime square, prime cube, and prime fourth power?
## Instructions
## Tests
```yml
tests:
- text: euler87() should return 1097343.
testString: assert.strictEqual(euler87(), 1097343, 'euler87() should return 1097343.');
```
## Challenge Seed
```js
function euler87() {
// Good luck!
return true;
}
euler87();
```
## Solution
```js
// solution required
```