62 lines
951 B
Markdown
62 lines
951 B
Markdown
---
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id: 5900f4da1000cf542c50ffec
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challengeType: 5
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title: 'Problem 365: A huge binomial coefficient'
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---
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## Description
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<section id='description'>
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The binomial coefficient C(1018,109) is a number with more than 9 billion (9×109) digits.
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Let M(n,k,m) denote the binomial coefficient C(n,k) modulo m.
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Calculate ∑M(1018,109,p*q*r) for 1000<p<q<r<5000 and p,q,r prime.
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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>euler365()</code> should return 162619462356610300.
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testString: 'assert.strictEqual(euler365(), 162619462356610300, "<code>euler365()</code> should return 162619462356610300.");'
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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 euler365() {
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// Good luck!
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return true;
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}
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euler365();
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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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