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* 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
861 B
Markdown
45 lines
861 B
Markdown
---
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id: 5900f3e71000cf542c50fefa
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title: 'Problem 123: Prime square remainders'
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challengeType: 5
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forumTopicId: 301750
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dashedName: problem-123-prime-square-remainders
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---
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# --description--
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Let $p_n$ be the $n$th prime: 2, 3, 5, 7, 11, ..., and let $r$ be the remainder when ${(p_n−1)}^n + {(p_n+1)}^n$ is divided by ${p_n}^2$.
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For example, when $n = 3, p_3 = 5$, and $4^3 + 6^3 = 280 ≡ 5\\ mod\\ 25$.
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The least value of $n$ for which the remainder first exceeds $10^9$ is 7037.
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Find the least value of $n$ for which the remainder first exceeds $10^{10}$.
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# --hints--
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`primeSquareRemainders()` should return `21035`.
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```js
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assert.strictEqual(primeSquareRemainders(), 21035);
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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 primeSquareRemainders() {
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return true;
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}
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primeSquareRemainders();
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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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