71 lines
1.1 KiB
Markdown
71 lines
1.1 KiB
Markdown
|
---
|
||
|
id: 5900f48d1000cf542c50ff9f
|
||
|
challengeType: 5
|
||
|
title: 'Problem 288: An enormous factorial'
|
||
|
---
|
||
|
|
||
|
## Description
|
||
|
<section id='description'>
|
||
|
For any prime p the number N(p,q) is defined by
|
||
|
N(p,q) = ∑n=0 to q Tn*pn with Tn generated by the following random number generator:
|
||
|
|
||
|
S0 = 290797
|
||
|
Sn+1 = Sn2 mod 50515093
|
||
|
Tn = Sn mod p
|
||
|
|
||
|
|
||
|
Let Nfac(p,q) be the factorial of N(p,q).
|
||
|
Let NF(p,q) be the number of factors p in Nfac(p,q).
|
||
|
|
||
|
|
||
|
You are given that NF(3,10000) mod 320=624955285.
|
||
|
|
||
|
|
||
|
Find NF(61,107) mod 6110
|
||
|
</section>
|
||
|
|
||
|
## Instructions
|
||
|
<section id='instructions'>
|
||
|
|
||
|
</section>
|
||
|
|
||
|
## Tests
|
||
|
<section id='tests'>
|
||
|
|
||
|
```yml
|
||
|
tests:
|
||
|
- text: <code>euler288()</code> should return 605857431263982000.
|
||
|
testString: 'assert.strictEqual(euler288(), 605857431263982000, ''<code>euler288()</code> should return 605857431263982000.'');'
|
||
|
|
||
|
```
|
||
|
|
||
|
</section>
|
||
|
|
||
|
## Challenge Seed
|
||
|
<section id='challengeSeed'>
|
||
|
|
||
|
<div id='js-seed'>
|
||
|
|
||
|
```js
|
||
|
function euler288() {
|
||
|
// Good luck!
|
||
|
return true;
|
||
|
}
|
||
|
|
||
|
euler288();
|
||
|
```
|
||
|
|
||
|
</div>
|
||
|
|
||
|
|
||
|
|
||
|
</section>
|
||
|
|
||
|
## Solution
|
||
|
<section id='solution'>
|
||
|
|
||
|
```js
|
||
|
// solution required
|
||
|
```
|
||
|
</section>
|