82 lines
1.7 KiB
Markdown
82 lines
1.7 KiB
Markdown
---
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id: 5900f3731000cf542c50fe86
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challengeType: 5
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title: 'Problem 7: 10001st prime'
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---
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## Description
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<section id='description'>
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By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.
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What is the <code>n</code>th prime number?
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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>nthPrime(6)</code> should return 13.
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testString: assert.strictEqual(nthPrime(6), 13, '<code>nthPrime(6)</code> should return 13.');
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- text: <code>nthPrime(10)</code> should return 29.
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testString: assert.strictEqual(nthPrime(10), 29, '<code>nthPrime(10)</code> should return 29.');
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- text: <code>nthPrime(100)</code> should return 541.
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testString: assert.strictEqual(nthPrime(100), 541, '<code>nthPrime(100)</code> should return 541.');
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- text: <code>nthPrime(1000)</code> should return 7919.
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testString: assert.strictEqual(nthPrime(1000), 7919, '<code>nthPrime(1000)</code> should return 7919.');
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- text: <code>nthPrime(10001)</code> should return 104743.
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testString: assert.strictEqual(nthPrime(10001), 104743, '<code>nthPrime(10001)</code> should return 104743.');
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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 nthPrime(n) {
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// Good luck!
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return true;
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}
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nthPrime(10001);
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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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const nthPrime = (number)=>{
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let pN = 2;
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let step = 0;
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while (step<number) {
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let isPrime = true;
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for(let i = 2;i<pN;i++){
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if(!(pN%i)){
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isPrime = false;
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break;
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}
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}
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isPrime ? step++ : '';
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pN++;
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}
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return pN-1;
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}
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```
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</section>
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