79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
64 lines
975 B
Markdown
64 lines
975 B
Markdown
---
|
||
id: 5900f4c31000cf542c50ffd5
|
||
challengeType: 5
|
||
title: 'Problem 342: The totient of a square is a cube'
|
||
---
|
||
|
||
## Description
|
||
<section id='description'>
|
||
Consider the number 50.
|
||
502 = 2500 = 22 × 54, so φ(2500) = 2 × 4 × 53 = 8 × 53 = 23 × 53. 1
|
||
So 2500 is a square and φ(2500) is a cube.
|
||
|
||
|
||
Find the sum of all numbers n, 1 < n < 1010 such that φ(n2) is a cube.
|
||
|
||
|
||
1 φ denotes Euler's totient function.
|
||
</section>
|
||
|
||
## Instructions
|
||
<section id='instructions'>
|
||
|
||
</section>
|
||
|
||
## Tests
|
||
<section id='tests'>
|
||
|
||
```yml
|
||
tests:
|
||
- text: <code>euler342()</code> should return 5943040885644.
|
||
testString: assert.strictEqual(euler342(), 5943040885644, '<code>euler342()</code> should return 5943040885644.');
|
||
|
||
```
|
||
|
||
</section>
|
||
|
||
## Challenge Seed
|
||
<section id='challengeSeed'>
|
||
|
||
<div id='js-seed'>
|
||
|
||
```js
|
||
function euler342() {
|
||
// Good luck!
|
||
return true;
|
||
}
|
||
|
||
euler342();
|
||
```
|
||
|
||
</div>
|
||
|
||
|
||
|
||
</section>
|
||
|
||
## Solution
|
||
<section id='solution'>
|
||
|
||
```js
|
||
// solution required
|
||
```
|
||
</section>
|