52 lines
1.0 KiB
Markdown
52 lines
1.0 KiB
Markdown
---
|
|
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
|
|
```
|