56 lines
1.3 KiB
Markdown
56 lines
1.3 KiB
Markdown
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---
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id: 5900f3e71000cf542c50fefa
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challengeType: 5
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title: 'Problem 123: Prime square remainders'
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videoUrl: ''
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localeTitle: 'Задача 123: остатки Prime Square'
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---
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## Description
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<section id="description"> Пусть pn - n-е число простых чисел: 2, 3, 5, 7, 11, ... и r - остаток, когда (pn-1) n + (pn + 1) n делится на pn2. Например, когда n = 3, p3 = 5 и 43 + 63 = 280 ≡ 5 mod 25. Наименьшее значение n, для которого остаток сначала превышает 109, составляет 7037. Найдите наименьшее значение n, для которого остаток сначала превышает 1010. </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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tests:
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- text: <code>euler123()</code> должен вернуть 21035.
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testString: 'assert.strictEqual(euler123(), 21035, "<code>euler123()</code> should return 21035.");'
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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 euler123() {
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// Good luck!
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return true;
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}
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euler123();
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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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