2018-09-30 22:01:58 +00:00
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---
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id: 5900f4c31000cf542c50ffd5
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challengeType: 5
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title: 'Problem 342: The totient of a square is a cube'
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---
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## Description
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<section id='description'>
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Consider the number 50.
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502 = 2500 = 22 × 54, so φ(2500) = 2 × 4 × 53 = 8 × 53 = 23 × 53. 1
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So 2500 is a square and φ(2500) is a cube.
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Find the sum of all numbers n, 1 < n < 1010 such that φ(n2) is a cube.
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1 φ denotes Euler's totient function.
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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>euler342()</code> should return 5943040885644.
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2018-10-20 18:02:47 +00:00
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testString: assert.strictEqual(euler342(), 5943040885644, '<code>euler342()</code> should return 5943040885644.');
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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 euler342() {
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// Good luck!
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return true;
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}
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euler342();
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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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