2018-09-30 22:01:58 +00:00
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---
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id: 5900f47d1000cf542c50ff8f
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challengeType: 5
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title: 'Problem 272: Modular Cubes, part 2'
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---
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## Description
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<section id='description'>
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For a positive number n, define C(n) as the number of the integers x, for which 1<x<n andx3≡1 mod n.
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When n=91, there are 8 possible values for x, namely : 9, 16, 22, 29, 53, 74, 79, 81.
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Thus, C(91)=8.
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Find the sum of the positive numbers n≤1011 for which C(n)=242.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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2018-10-04 13:37:37 +00:00
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tests:
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- text: <code>euler272()</code> should return 8495585919506151000.
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2018-10-20 18:02:47 +00:00
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testString: assert.strictEqual(euler272(), 8495585919506151000, '<code>euler272()</code> should return 8495585919506151000.');
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2018-09-30 22:01:58 +00:00
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler272() {
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// Good luck!
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return true;
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}
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euler272();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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