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freeCodeCamp/curriculum/challenges/chinese/10-coding-interview-prep/project-euler/problem-381-prime-k-factori...

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Add languages Russian, Arabic, Chinese, Portuguese (#18305)
2018-10-10 22:03:03 +00:00
---
id: 5900f4ea1000cf542c50fffc
chore(learn): Applied MDX format to Chinese curriculum files (#40462)
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title: 问题381：（prime-k）阶乘
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
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challengeType: 5
videoUrl: ''
---
chore(learn): Applied MDX format to Chinese curriculum files (#40462)
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# --description--
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
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chore(learn): Applied MDX format to Chinese curriculum files (#40462)
2020-12-16 07:37:30 +00:00
对于素数p，令S（p）=（Σ（pk）！）mod（p）1≤k≤5。
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
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chore(learn): Applied MDX format to Chinese curriculum files (#40462)
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例如，如果p = 7，（7-1）！ +（7-2）！ +（7-3）！ +（7-4）！ +（7-5）！ = 6！ + 5！ + 4！ + 3！ + 2！ = 720 + 120 + 24 + 6 + 2 = 872.当872 mod（7）= 4时，S（7）= 4。
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
2018-10-10 22:03:03 +00:00
chore(learn): Applied MDX format to Chinese curriculum files (#40462)
2020-12-16 07:37:30 +00:00
对于5≤p<100，可以证实ΣS（p）= 480。
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
2018-10-10 22:03:03 +00:00
chore(learn): Applied MDX format to Chinese curriculum files (#40462)
2020-12-16 07:37:30 +00:00
求ΣS（p）为5≤p<108。
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
2018-10-10 22:03:03 +00:00
chore(learn): Applied MDX format to Chinese curriculum files (#40462)
2020-12-16 07:37:30 +00:00
# --hints--
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
2018-10-10 22:03:03 +00:00
chore(learn): Applied MDX format to Chinese curriculum files (#40462)
2020-12-16 07:37:30 +00:00
`euler381()`应该返回139602943319822。
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
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```js
chore(learn): Applied MDX format to Chinese curriculum files (#40462)
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assert.strictEqual(euler381(), 139602943319822);
Add languages Russian, Arabic, Chinese, Portuguese (#18305)
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```
chore(learn): Applied MDX format to Chinese curriculum files (#40462)
2020-12-16 07:37:30 +00:00
# --solutions--
fix: insert blank line after ``` search and replace ```\n< with ```\n\n< to ensure there's an empty line before closing tags
2020-08-13 15:24:35 +00:00