61 lines
1.0 KiB
Markdown
61 lines
1.0 KiB
Markdown
---
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id: 5900f3c51000cf542c50fed8
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challengeType: 5
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title: 'Problem 87: Prime power triples'
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---
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## Description
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<section id='description'>
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The smallest number expressible as the sum of a prime square, prime cube, and prime fourth power is 28. In fact, there are exactly four numbers below fifty that can be expressed in such a way:
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28 = 22 + 23 + 24
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33 = 32 + 23 + 24
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49 = 52 + 23 + 24
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47 = 22 + 33 + 24
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How many numbers below fifty million can be expressed as the sum of a prime square, prime cube, and prime fourth power?
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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>euler87()</code> should return 1097343.
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testString: assert.strictEqual(euler87(), 1097343, '<code>euler87()</code> should return 1097343.');
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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 euler87() {
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// Good luck!
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return true;
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}
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euler87();
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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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