2018-09-30 22:01:58 +00:00
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---
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id: 5900f5361000cf542c510048
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challengeType: 5
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title: 'Problem 457: A polynomial modulo the square of a prime'
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---
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## Description
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<section id='description'>
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Let f(n) = n2 - 3n - 1.
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Let p be a prime.
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Let R(p) be the smallest positive integer n such that f(n) mod p2 = 0 if such an integer n exists, otherwise R(p) = 0.
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Let SR(L) be ∑R(p) for all primes not exceeding L.
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Find SR(107).
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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2018-10-04 13:37:37 +00:00
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tests:
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- text: <code>euler457()</code> should return 2647787126797397000.
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2018-10-20 18:02:47 +00:00
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testString: assert.strictEqual(euler457(), 2647787126797397000, '<code>euler457()</code> should return 2647787126797397000.');
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2018-09-30 22:01:58 +00:00
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler457() {
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// Good luck!
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return true;
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}
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euler457();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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