58 lines
1.0 KiB
Markdown
58 lines
1.0 KiB
Markdown
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---
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id: 5900f3f51000cf542c50ff07
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challengeType: 5
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title: 'Problem 136: Singleton difference'
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---
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## Description
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<section id='description'>
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The positive integers, x, y, and z, are consecutive terms of an arithmetic progression. Given that n is a positive integer, the equation, x2 − y2 − z2 = n, has exactly one solution when n = 20:
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132 − 102 − 72 = 20
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In fact there are twenty-five values of n below one hundred for which the equation has a unique solution.
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How many values of n less than fifty million have exactly one solution?
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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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- text: <code>euler136()</code> should return 2544559.
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testString: 'assert.strictEqual(euler136(), 2544559, "<code>euler136()</code> should return 2544559.");'
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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 euler136() {
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// Good luck!
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return true;
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}
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euler136();
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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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