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---
id: 5900f3b11000cf542c50fec4
challengeType: 5
title: 'Problem 69: Totient maximum'
videoUrl: ''
localeTitle: 问题69大欧拉
---
## Description
<section id="description"> Euler的Totient函数φn[有时称为phi函数]用于确定小于n的数字的数量这些数字是n的相对素数。例如如1,2,4,5,7和8都小于9且相对于9φ9= 6。 <p> n相对素数φnn /φn2 1 1 2 3 1,2 2 1.5 4 1,3 2 2 5 1,2,3,4 4 1.25 6 1,5 2 3 7 1,2 3,4,5,6 6 1.1666 ... 8 1,3,5,7 4 2 9 1,2,4,5,7,8 6 1.5 10 1,3,7,9 4 2.5 </p><p>可以看出对于n≤10n = 6产生最大n /φn。找到n≤1,000,000的值其中n /φn是最大值。 </p></section>
## Instructions
<section id="instructions">
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler69()</code>应该返回510510。
testString: 'assert.strictEqual(euler69(), 510510, "<code>euler69()</code> should return 510510.");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler69() {
// Good luck!
return true;
}
euler69();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>