freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-348-sum-of-a-square...

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---
id: 5900f4c81000cf542c50ffdb
title: 'Problem 348: Sum of a square and a cube'
challengeType: 5
forumTopicId: 302007
dashedName: 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:
$$\begin{align}
& {2285}^2 + {20}^3 \\\\
& {2223}^2 + {66}^3 \\\\
& {1810}^2 + {125}^3 \\\\
& {1197}^2 + {156}^3
\end{align}$$
Find the sum of the five smallest such palindromic numbers.
# --hints--
`sumOfSquareAndCube()` should return `1004195061`.
```js
assert.strictEqual(sumOfSquareAndCube(), 1004195061);
```
# --seed--
## --seed-contents--
```js
function sumOfSquareAndCube() {
return true;
}
sumOfSquareAndCube();
```
# --solutions--
```js
// solution required
```