79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
70 lines
1.3 KiB
Markdown
70 lines
1.3 KiB
Markdown
---
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id: 5900f4461000cf542c50ff59
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challengeType: 5
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title: 'Problem 218: Perfect right-angled triangles'
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---
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## Description
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<section id='description'>
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Consider the right angled triangle with sides a=7, b=24 and c=25.
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The area of this triangle is 84, which is divisible by the perfect numbers 6 and 28.
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Moreover it is a primitive right angled triangle as gcd(a,b)=1 and gcd(b,c)=1.
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Also c is a perfect square.
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We will call a right angled triangle perfect if
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-it is a primitive right angled triangle
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-its hypotenuse is a perfect square
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We will call a right angled triangle super-perfect if
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-it is a perfect right angled triangle and
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-its area is a multiple of the perfect numbers 6 and 28.
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How many perfect right-angled triangles with c≤1016 exist that are not super-perfect?
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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>euler218()</code> should return 0.
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testString: assert.strictEqual(euler218(), 0, '<code>euler218()</code> should return 0.');
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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 euler218() {
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// Good luck!
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return true;
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}
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euler218();
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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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