55 lines
1.0 KiB
Markdown
55 lines
1.0 KiB
Markdown
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---
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id: 5900f4ea1000cf542c50fffc
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challengeType: 5
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title: 'Problem 381: (prime-k) factorial'
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videoUrl: ''
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localeTitle: ''
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---
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## Description
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<section id="description"> Для простого p пусть S (p) = (Σ (pk)!) Mod (p) для 1 ≤ k ≤ 5. <p> Например, если p = 7, (7-1)! + (7-2)! + (7-3)! + (7-4)! + (7-5)! = 6! + 5! + 4! + 3! + 2! = 720 + 120 + 24 + 6 + 2 = 872. Так как 872 mod (7) = 4, S (7) = 4. </p><p> Можно проверить, что ΣS (p) = 480 для 5 ≤ p <100. </p><p> Найти ΣS (p) для 5 ≤ p <108. </p></section>
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## Instructions
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undefined
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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: ''
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testString: 'assert.strictEqual(euler381(), 139602943319822, "<code>euler381()</code> should return 139602943319822.");'
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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 euler381() {
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// Good luck!
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return true;
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}
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euler381();
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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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