Problem 52614. Easy Sequences 12: 50th Prime

Created by Ramon Villamangca

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:rPr><w:b/></w:rPr><w:t>Write a function that outputs the </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>50</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>th prime after a given number </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>.</w:t></w:r><w:r><w:t> For example, the </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>50</w:t></w:r></w:customXml><w:r><w:t>th prime after </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>500</w:t></w:r></w:customXml><w:r><w:t> is </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>829</w:t></w:r></w:customXml><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>NOTE: If </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t> itself is prime start counting from the next prime greater than </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t>.</w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 72px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 36px; transform-origin: 407px 36px; vertical-align: baseline; "><div style="block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 115.5px 8px; transform-origin: 115.5px 8px; unicode-bidi: normal; ">Write a function that outputs the <img src="data:image/png;base64,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" style="width: 18px; height: 18px;" width="18" height="18"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 106.5px 8px; transform-origin: 106.5px 8px; unicode-bidi: normal; ">th prime after a given number n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; ">.<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59px 8px; transform-origin: 59px 8px; unicode-bidi: normal; "> For example, the <img src="data:image/png;base64,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" style="width: 18px; height: 18px;" width="18" height="18"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44px 8px; transform-origin: 44px 8px; unicode-bidi: normal; ">th prime after <img src="data:image/png;base64,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" style="width: 25.5px; height: 18px;" width="25.5" height="18"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; "> is <img src="data:image/png;base64,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" style="width: 25.5px; height: 18px;" width="25.5" height="18"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; ">.</div><div style="block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.5px 8px; transform-origin: 28.5px 8px; unicode-bidi: normal; ">NOTE: If n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 193.5px 8px; transform-origin: 193.5px 8px; unicode-bidi: normal; "> itself is prime start counting from the next prime greater than n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; ">.</div></div></div>

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Last Solution submitted on Aug 30, 2022

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Jean-Marie Sainthillier on 27 Jun 2022

Anything but an easy problem.

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Problem 52614. Easy Sequences 12: 50th Prime

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Problem 52614. Easy Sequences 12: 50th Prime

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