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---
id: 5900f38f1000cf542c50fea2
challengeType: 5
title: 'Problem 35: Circular primes'
videoUrl: ''
localeTitle: ''
---
## Description
<section id="description"> Число 197, называется круговым простым, поскольку все повороты цифр: 197, 971 и 719 сами по себе являются первыми. Есть тринадцать таких простых чисел ниже 100: 2, 3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 79 и 97. Сколько круговых простых чисел ниже n, тогда как 100 &lt;= n &lt; = 1000000? </section>
## Instructions
undefined
## Tests
<section id='tests'>
```yml
tests:
- text: <code>circularPrimes(100)</code> должен возвращать 13.
testString: 'assert(circularPrimes(100) == 13, "<code>circularPrimes(100)</code> should return 13.");'
- text: <code>circularPrimes(100000)</code> должен возвращать 43.
testString: 'assert(circularPrimes(100000) == 43, "<code>circularPrimes(100000)</code> should return 43.");'
- text: ''
testString: 'assert(circularPrimes(250000) == 45, "<code>circularPrimes(250000)</code> should return 45.");'
- text: <code>circularPrimes(500000)</code> должен вернуть 49.
testString: 'assert(circularPrimes(500000) == 49, "<code>circularPrimes(500000)</code> should return 49.");'
- text: <code>circularPrimes(750000)</code> должен вернуть 49.
testString: 'assert(circularPrimes(750000) == 49, "<code>circularPrimes(750000)</code> should return 49.");'
- text: ''
testString: 'assert(circularPrimes(1000000) == 55, "<code>circularPrimes(1000000)</code> should return 55.");'
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function circularPrimes(n) {
// Good luck!
return n;
}
circularPrimes(1000000);
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>