46 lines
675 B
Markdown
46 lines
675 B
Markdown
---
|
||
id: 5900f4c31000cf542c50ffd5
|
||
title: 'Problem 342: The totient of a square is a cube'
|
||
challengeType: 5
|
||
forumTopicId: 302001
|
||
---
|
||
|
||
# --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.
|
||
|
||
# --hints--
|
||
|
||
`euler342()` should return 5943040885644.
|
||
|
||
```js
|
||
assert.strictEqual(euler342(), 5943040885644);
|
||
```
|
||
|
||
# --seed--
|
||
|
||
## --seed-contents--
|
||
|
||
```js
|
||
function euler342() {
|
||
|
||
return true;
|
||
}
|
||
|
||
euler342();
|
||
```
|
||
|
||
# --solutions--
|
||
|
||
```js
|
||
// solution required
|
||
```
|