58 lines
1.3 KiB
Markdown
58 lines
1.3 KiB
Markdown
---
|
|
id: 5900f39f1000cf542c50feb2
|
|
challengeType: 5
|
|
title: 'Problem 51: Prime digit replacements'
|
|
---
|
|
|
|
## Description
|
|
<section id='description'>
|
|
By replacing the 1st digit of the 2-digit number *3, it turns out that six of the nine possible values: 13, 23, 43, 53, 73, and 83, are all prime.
|
|
By replacing the 3rd and 4th digits of 56**3 with the same digit, this 5-digit number is the first example having seven primes among the ten generated numbers, yielding the family: 56003, 56113, 56333, 56443, 56663, 56773, and 56993. Consequently 56003, being the first member of this family, is the smallest prime with this property.
|
|
Find the smallest prime which, by replacing part of the number (not necessarily adjacent digits) with the same digit, is part of an eight prime value family.
|
|
</section>
|
|
|
|
## Instructions
|
|
<section id='instructions'>
|
|
|
|
</section>
|
|
|
|
## Tests
|
|
<section id='tests'>
|
|
|
|
```yml
|
|
tests:
|
|
- text: <code>euler51()</code> should return 121313.
|
|
testString: 'assert.strictEqual(euler51(), 121313, "<code>euler51()</code> should return 121313.");'
|
|
|
|
```
|
|
|
|
</section>
|
|
|
|
## Challenge Seed
|
|
<section id='challengeSeed'>
|
|
|
|
<div id='js-seed'>
|
|
|
|
```js
|
|
function euler51() {
|
|
// Good luck!
|
|
return true;
|
|
}
|
|
|
|
euler51();
|
|
```
|
|
|
|
</div>
|
|
|
|
|
|
|
|
</section>
|
|
|
|
## Solution
|
|
<section id='solution'>
|
|
|
|
```js
|
|
// solution required
|
|
```
|
|
</section>
|