7907f62337
* fix: clean-up Project Euler 121-140 * fix: corrections from review Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> * fix: missing backticks Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> * fix: corrections from review Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> * fix: missing delimiter Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
45 lines
900 B
Markdown
45 lines
900 B
Markdown
---
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id: 5900f3ef1000cf542c50ff02
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title: 'Problem 131: Prime cube partnership'
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challengeType: 5
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forumTopicId: 301759
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dashedName: problem-131-prime-cube-partnership
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---
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# --description--
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There are some prime values, $p$, for which there exists a positive integer, $n$, such that the expression $n^3 + n^{2}p$ is a perfect cube.
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For example, when $p = 19,\\ 8^3 + 8^2 × 19 = {12}^3$.
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What is perhaps most surprising is that the value of $n$ is unique for each prime with this property, and there are only four such primes below one hundred.
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How many primes below one million have this remarkable property?
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# --hints--
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`primeCubePartnership()` should return `173`.
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```js
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assert.strictEqual(primeCubePartnership(), 173);
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```
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# --seed--
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## --seed-contents--
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```js
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function primeCubePartnership() {
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return true;
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}
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primeCubePartnership();
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```
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# --solutions--
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```js
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// solution required
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```
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