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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-365-a-huge-binomial-coefficient.english.md
mrugesh 22afc2a0ca feat(learn): python certification projects (#38216)
Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>
2020-05-27 13:19:08 +05:30

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---
id: 5900f4da1000cf542c50ffec
challengeType: 5
isHidden: false
title: 'Problem 365: A huge binomial coefficient'
forumTopicId: 302026
---
## Description
<section id='description'>
The binomial coefficient C(1018,109) is a number with more than 9 billion (9×109) digits.
Let M(n,k,m) denote the binomial coefficient C(n,k) modulo m.
Calculate ∑M(1018,109,p*q*r) for 1000<p<q<r<5000 and p,q,r prime.
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler365()</code> should return 162619462356610300.
testString: assert.strictEqual(euler365(), 162619462356610300);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler365() {
// Good luck!
return true;
}
euler365();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>