ee1e8abd87
* 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>
54 lines
1.1 KiB
Markdown
54 lines
1.1 KiB
Markdown
---
|
|
id: 5900f3c51000cf542c50fed8
|
|
title: 'Problem 87: Prime power triples'
|
|
challengeType: 5
|
|
forumTopicId: 302201
|
|
dashedName: problem-87-prime-power-triples
|
|
---
|
|
|
|
# --description--
|
|
|
|
The smallest number expressible as the sum of a prime square, prime cube, and prime fourth power is 28. In fact, there are exactly four numbers below fifty that can be expressed in such a way:
|
|
|
|
<div style='margin-left: 4em;'>
|
|
28 = 2<sup>2</sup> + 2<sup>3</sup> + 2<sup>4</sup><br>
|
|
33 = 3<sup>2</sup> + 2<sup>3</sup> + 2<sup>4</sup><br>
|
|
49 = 5<sup>2</sup> + 2<sup>3</sup> + 2<sup>4</sup><br>
|
|
47 = 2<sup>2</sup> + 3<sup>3</sup> + 2<sup>4</sup>
|
|
</div>
|
|
|
|
How many numbers below fifty million can be expressed as the sum of a prime square, prime cube, and prime fourth power?
|
|
|
|
# --hints--
|
|
|
|
`primePowerTriples()` should return a number.
|
|
|
|
```js
|
|
assert(typeof primePowerTriples() === 'number');
|
|
```
|
|
|
|
`primePowerTriples()` should return 1097343.
|
|
|
|
```js
|
|
assert.strictEqual(primePowerTriples(), 1097343);
|
|
```
|
|
|
|
# --seed--
|
|
|
|
## --seed-contents--
|
|
|
|
```js
|
|
function primePowerTriples() {
|
|
|
|
return true;
|
|
}
|
|
|
|
primePowerTriples();
|
|
```
|
|
|
|
# --solutions--
|
|
|
|
```js
|
|
// solution required
|
|
```
|