43 lines
754 B
Markdown
43 lines
754 B
Markdown
---
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id: 5900f4801000cf542c50ff93
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title: 'Problem 276: Primitive Triangles'
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challengeType: 5
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forumTopicId: 301926
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dashedName: problem-276-primitive-triangles
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---
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# --description--
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Consider the triangles with integer sides $a$, $b$ and $c$ with $a ≤ b ≤ c$.
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An integer sided triangle $(a,b,c)$ is called primitive if $gcd(a,b,c) = 1$.
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How many primitive integer sided triangles exist with a perimeter not exceeding $10\\,000\\,000$?
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# --hints--
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`primitiveTriangles()` should return `5777137137739633000`.
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```js
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assert.strictEqual(primitiveTriangles(), 5777137137739633000);
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```
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# --seed--
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## --seed-contents--
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```js
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function primitiveTriangles() {
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return true;
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}
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primitiveTriangles();
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```
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# --solutions--
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```js
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// solution required
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```
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