2018-09-30 23:01:58 +01:00
---
id: 5900f3ce1000cf542c50fee0
challengeType: 5
title: 'Problem 97: Large non-Mersenne prime'
2019-08-05 09:17:33 -07:00
forumTopicId: 302214
2018-09-30 23:01:58 +01:00
---
## Description
<section id='description'>
2020-02-28 21:39:47 +09:00
The first known prime found to exceed one million digits was discovered in 1999, and is a Mersenne prime of the form 2<sup>6972593</sup>− 1; it contains exactly 2,098,960 digits. Subsequently other Mersenne primes, of the form 2<sup><var>p</var></sup>− 1, have been found which contain more digits.
However, in 2004 there was found a massive non-Mersenne prime which contains 2,357,207 digits: 28433× 2<sup>7830457</sup>+1.
2018-09-30 23:01:58 +01:00
Find the last ten digits of this prime number.
2020-02-28 21:39:47 +09:00
2018-09-30 23:01:58 +01:00
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
2018-10-04 14:37:37 +01:00
tests:
2020-02-28 21:39:47 +09:00
- text: <code>lrgNonMersennePrime()</code> should return a number.
testString: assert(typeof lrgNonMersennePrime() === 'number');
- text: <code>lrgNonMersennePrime()</code> should return 8739992577.
testString: assert.strictEqual(lrgNonMersennePrime(), 8739992577);
2018-09-30 23:01:58 +01:00
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
2020-02-28 21:39:47 +09:00
function lrgNonMersennePrime() {
2020-09-15 09:57:40 -07:00
2018-09-30 23:01:58 +01:00
return true;
}
2020-02-28 21:39:47 +09:00
lrgNonMersennePrime();
2018-09-30 23:01:58 +01:00
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
2019-07-18 08:24:12 -07:00
2018-09-30 23:01:58 +01:00
</section>