* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
49 lines
1.0 KiB
Markdown
49 lines
1.0 KiB
Markdown
---
|
||
id: 5900f3ce1000cf542c50fee0
|
||
title: 'Problem 97: Large non-Mersenne prime'
|
||
challengeType: 5
|
||
forumTopicId: 302214
|
||
dashedName: problem-97-large-non-mersenne-prime
|
||
---
|
||
|
||
# --description--
|
||
|
||
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.
|
||
|
||
Find the last ten digits of this prime number.
|
||
|
||
# --hints--
|
||
|
||
`lrgNonMersennePrime()` should return a number.
|
||
|
||
```js
|
||
assert(typeof lrgNonMersennePrime() === 'number');
|
||
```
|
||
|
||
`lrgNonMersennePrime()` should return 8739992577.
|
||
|
||
```js
|
||
assert.strictEqual(lrgNonMersennePrime(), 8739992577);
|
||
```
|
||
|
||
# --seed--
|
||
|
||
## --seed-contents--
|
||
|
||
```js
|
||
function lrgNonMersennePrime() {
|
||
|
||
return true;
|
||
}
|
||
|
||
lrgNonMersennePrime();
|
||
```
|
||
|
||
# --solutions--
|
||
|
||
```js
|
||
// solution required
|
||
```
|