66 lines
1.0 KiB
Markdown
66 lines
1.0 KiB
Markdown
---
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id: 5900f4491000cf542c50ff5c
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challengeType: 5
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title: 'Problem 221: Alexandrian Integers'
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forumTopicId: 301864
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---
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## Description
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<section id='description'>
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We shall call a positive integer A an "Alexandrian integer", if there exist integers p, q, r such that:
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A = p · q · r and 1/A = 1/p + 1/q + 1/r
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<!-- TODO Use MathJax -->
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For example, 630 is an Alexandrian integer (p = 5, q = −7, r = −18).
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In fact, 630 is the 6th Alexandrian integer, the first 6 Alexandrian integers being: 6, 42, 120, 156, 420 and 630.
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Find the 150000th Alexandrian integer.
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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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tests:
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- text: <code>euler221()</code> should return 1884161251122450.
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testString: assert.strictEqual(euler221(), 1884161251122450);
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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 euler221() {
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return true;
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}
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euler221();
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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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