Problem 51198. Find pairs of primes with the same digit sum and a specified separation

Created by ChrisR

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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:t>Write a function that takes a number </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"n\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t> as input and finds the first set of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"n\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t> primes such that the first and last have the same digit sum. For example, if the function is given </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"n = 5\"/></w:customXmlPr><w:r><w:t>n = 5</w:t></w:r></w:customXml><w:r><w:t>, it should return [2 11] because those numbers begin and end the string of 5 primes—2, 3, 5, 7, 11. </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>See also </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/50933-find-pairs-of-primes-with-the-same-digit-sum\"><w:r><w:t>Cody Problem 50933</w:t></w:r></w:hyperlink></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: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; "><div style="block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 114.217px 7.91667px; transform-origin: 114.217px 7.91667px; unicode-bidi: normal; "><span style="">Write a function that takes a number </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">n</span><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: 102.667px 7.91667px; transform-origin: 102.667px 7.91667px; unicode-bidi: normal; "><span style=""> as input and finds the first set of </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">n</span><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: 154.4px 7.91667px; transform-origin: 154.4px 7.91667px; unicode-bidi: normal; "><span style=""> primes such that the first and last have the same digit sum. For example, if the function is given </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" alt="n = 5" style="width: 36.5px; height: 18px;" width="36.5" height="18"></span><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: 205.642px 7.91667px; transform-origin: 205.642px 7.91667px; unicode-bidi: normal; "><span style="">, it should return [2 11] because those numbers begin and end the string of 5 primes—2, 3, 5, 7, 11. </span></span></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: 29.175px 7.91667px; transform-origin: 29.175px 7.91667px; unicode-bidi: normal; "><span style="">See also </span></span><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/50933-find-pairs-of-primes-with-the-same-digit-sum"><span style=""><span style="">Cody Problem 50933</span></span></a></div></div></div>

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Problem 51198. Find pairs of primes with the same digit sum and a specified separation

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