Problem 46046. Determine whether a number is a cluster prime

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>A</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://mathworld.wolfram.com/ClusterPrime.html\"><w:r><w:t>cluster prime</w:t></w:r></w:hyperlink><w:r><w:t> is an odd prime number</w:t></w:r><w:r><w:t> </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=\"p\"/></w:customXmlPr><w:r><w:t>p</w:t></w:r></w:customXml><w:r><w:t> such that all even numbers less than or equal to</w:t></w:r><w:r><w:t> </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=\"p-3\"/></w:customXmlPr><w:r><w:t>p-3</w:t></w:r></w:customXml><w:r><w:t> can be expressed as a difference of two primes</w:t></w:r><w:r><w:t> </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=\"q\"/></w:customXmlPr><w:r><w:t>q</w:t></w:r></w:customXml><w:r><w:t> and</w:t></w:r><w:r><w:t> </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=\"q'\"/></w:customXmlPr><w:r><w:t>q\\prime</w:t></w:r></w:customXml><w:r><w:t> that are no larger than</w:t></w:r><w:r><w:t> </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=\"p\"/></w:customXmlPr><w:r><w:t>p</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>Write a function to determine whether a number is a cluster prime.</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: 4.66667px 7.91667px; transform-origin: 4.66667px 7.91667px; unicode-bidi: normal; ">A<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: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; "> <a target='_blank' href = "https://mathworld.wolfram.com/ClusterPrime.html">cluster prime</a><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: 75.4667px 7.91667px; transform-origin: 75.4667px 7.91667px; unicode-bidi: normal; "> is an odd prime number<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: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; "> p<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: 150.533px 7.91667px; transform-origin: 150.533px 7.91667px; unicode-bidi: normal; "> such that all even numbers less than or equal to<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: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; "> <img src="data:image/png;base64,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" alt="p-3" style="width: 36.5px; height: 18px;" width="36.5" 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: 74.3px 7.91667px; transform-origin: 74.3px 7.91667px; unicode-bidi: normal; "> can be expressed as a difference of two primes<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: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; "> q<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: 13.6167px 7.91667px; transform-origin: 13.6167px 7.91667px; unicode-bidi: normal; "> and<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: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; "> <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB4AAAAkCAYAAACe0YppAAABJ0lEQVRYhe2WYQ2DMBCFPw84qAEMoAAFOMABDmahGpAwD7OABiywH+2lt6VsZBwlS/gS/tCmL717fS1cXPwpNVCVFu2BBbiVFn5E4a6kqIuiE4VLLWXuS4oCjJyw24qTdtsSjGWGIzh04PNufBQ3EfSE8nmgieIemNV/ocKgt3VcfI6CGjmnS2ZsF+0HUYB7FJ0xdK8jlXGtnzI+WolC2s2aO2tSmc0isVWLrrnTqznOSngk9S6H5PBCqIwZsuha70Y1Z7ASbdSiuXu0U+MLodfmwv5trCME/7dW/IQEvNylDaGnA+k859LKhIHXcsqxcmxz/C5q0mWg+yjHyDSttnBIWn1DG6/oJX/jgLTawkRy++FUhBLrtJo4yNEaeW3kvqIP9YufeQJgwmvH4HW5FwAAAABJRU5ErkJggg==" alt="q'" style="width: 15px; height: 18px;" width="15" 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: 70.8px 7.91667px; transform-origin: 70.8px 7.91667px; unicode-bidi: normal; "> that are no larger than<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: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; unicode-bidi: normal; "> p<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: 1.95px 7.91667px; transform-origin: 1.95px 7.91667px; 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: 204.467px 7.91667px; transform-origin: 204.467px 7.91667px; unicode-bidi: normal; ">Write a function to determine whether a number is a cluster prime.</div></div></div>

Solve

Solution Stats

31 Solutions
14 Solvers

Last Solution submitted on Jan 14, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Nikolaos Nikolaou on 11 May 2021

Chris problems are kinda my favourite :)

Solution Comments

Solution 2691218

1 Comment

1 Comment

Gifari Zulkarnaen on 14 Jul 2020

Very nice problem

Problem Recent Solvers14

Problem Tags

number theory primes

Community Treasure Hunt

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

Start Hunting!

Problem 46046. Determine whether a number is a cluster prime

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers14

Suggested Problems

More from this Author148

Problem Tags

Community Treasure Hunt

Problem 46046. Determine whether a number is a cluster prime

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers14

Suggested Problems

More from this Author148

Problem Tags

Community Treasure Hunt

Players