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freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-10-summation-of-primes.english.md
Kristofer Koishigawa 6cfd0fc503 fix: improve Project Euler descriptions, challenge seeds, and test cases (#38016)
* fix: improve Project Euler descriptions and test case

Improve formatting of Project Euler test descriptions. Also add poker hands array and new test case for problem 54

* feat: add typeof tests and gave functions proper names for first 100 challenges

* fix: continue fixing test descriptions and adding "before test" sections

* fix: address review comments

* fix: adjust grids in 18 and 67 and fix some text that reference files rather than the given arrays

* fix: implement bug fixes and improvements from review

* fix: remove console.log statements from seed and solution
2020-02-28 06:39:47 -06:00

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---
id: 5900f3761000cf542c50fe89
challengeType: 5
title: 'Problem 10: Summation of primes'
forumTopicId: 301723
---
## Description
<section id='description'>
The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17.
Find the sum of all the primes below `n`.
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>primeSummation(17)</code> should return a number.
testString: assert(typeof primeSummation(17) === 'number');
- text: <code>primeSummation(17)</code> should return 41.
testString: assert.strictEqual(primeSummation(17), 41);
- text: <code>primeSummation(2001)</code> should return 277050.
testString: assert.strictEqual(primeSummation(2001), 277050);
- text: <code>primeSummation(140759)</code> should return 873608362.
testString: assert.strictEqual(primeSummation(140759), 873608362);
- text: <code>primeSummation(2000000)</code> should return 142913828922.
testString: assert.strictEqual(primeSummation(2000000), 142913828922);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function primeSummation(n) {
// Good luck!
return true;
}
primeSummation(2000000);
```
</div>
</section>
## Solution
<section id='solution'>
```js
//noprotect
function primeSummation(n) {
if (n < 3) { return 0 };
let nums = [0, 0, 2];
for (let i = 3; i < n; i += 2){
nums.push(i);
nums.push(0);
}
let sum = 2;
for (let i = 3; i < n; i += 2){
if (nums[i] !== 0){
sum += nums[i];
for (let j = i*i; j < n; j += i){
nums[j] = 0;
}
}
}
return sum;
}
```
</section>