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

Created by ChrisR

Solve Later

{"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>

Solve

Solution Stats

10 Solutions
8 Solvers

Last Solution submitted on Nov 18, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers8

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers8

Suggested Problems

More from this Author133

Problem Tags

Community Treasure Hunt

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

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers8

Suggested Problems

More from this Author133

Problem Tags

Community Treasure Hunt

Players