79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
61 lines
1.1 KiB
Markdown
61 lines
1.1 KiB
Markdown
---
|
|
id: 5900f4c71000cf542c50ffd8
|
|
challengeType: 5
|
|
title: 'Problem 346: Strong Repunits'
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
The number 7 is special, because 7 is 111 written in base 2, and 11 written in base 6 (i.e. 710 = 116 = 1112). In other words, 7 is a repunit in at least two bases b > 1.
|
|
|
|
|
|
We shall call a positive integer with this property a strong repunit. It can be verified that there are 8 strong repunits below 50: {1,7,13,15,21,31,40,43}. Furthermore, the sum of all strong repunits below 1000 equals 15864.
|
|
|
|
Find the sum of all strong repunits below 1012.
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler346()</code> should return 336108797689259260.
|
|
testString: assert.strictEqual(euler346(), 336108797689259260, '<code>euler346()</code> should return 336108797689259260.');
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler346() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler346();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
</section>
|