---
id: 5900f4c81000cf542c50ffdb
challengeType: 5
title: 'Problem 348: Sum of a square and a cube'
---
## Description
Many numbers can be expressed as the sum of a square and a cube. Some of them in more than one way.
Consider the palindromic numbers that can be expressed as the sum of a square and a cube, both greater than 1, in exactly 4 different ways.
For example, 5229225 is a palindromic number and it can be expressed in exactly 4 different ways:
22852 + 203
22232 + 663
18102 + 1253
11972 + 1563
Find the sum of the five smallest such palindromic numbers.
## Instructions
## Tests
```yml
tests:
- text: euler348() should return 1004195061.
testString: assert.strictEqual(euler348(), 1004195061, 'euler348() should return 1004195061.');
```
## Challenge Seed
```js
function euler348() {
// Good luck!
return true;
}
euler348();
```