Problem 52990. Easy Sequences 46: Semi-prime Leap Year Pairs

Created by Ramon Villamangca

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 semi-prime is a positive integer that has only </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>2</w:t></w:r></w:customXml><w:r><w:t> and exactly </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>2</w:t></w:r></w:customXml><w:r><w:t> prime factors. Here is a list of the first few semi-primes:</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>\\{4,6,9,10,14,15,21,...\\}</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>We define a </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>Semi-prime Leap Year Pair</w:t></w:r><w:r><w:t> as a pair of years, whose difference is a semi-prime number and at least one year in the pair is a leap year. Examples of semi-prime leap year pairs are: </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>\\{1964\\ 1968\\}</w:t></w:r></w:customXml><w:r><w:t>, </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>\\{1994\\ 2000\\}</w:t></w:r></w:customXml><w:r><w:t>, and </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>\\{1687\\ 1708\\}</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:rPr><w:b/></w:rPr><w:t>Given a year 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>y</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>, write a program that counts the number of semi-prime leap year pairs between year </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>1AD</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t> and </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>y</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>, inclusive.</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:rPr><w:b/></w:rPr><w:t>NOTE:</w:t></w:r><w:r><w:t> Leap years are defined as those years that are divisible by </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>4</w:t></w:r></w:customXml><w:r><w:t>, except for those that ends in </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>\"00\"</w:t></w:r></w:customXml><w:r><w:t>, in which case a year is a leap year only if it is divisible by </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>400</w:t></w:r></w:customXml><w:r><w:t>. This rule was introduced only starting </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>1582</w:t></w:r></w:customXml><w:r><w:t>. Before </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>1582</w:t></w:r></w:customXml><w:r><w:t>, the rule is much simpler, namely, except for </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>4AD</w:t></w:r></w:customXml><w:r><w:t>, all years that are multiples of </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>4</w:t></w:r></w:customXml><w:r><w:t>, are leap years. Please apply the appropriate rule for each year. Also, please assume that there will not be any more leap year definition changes in the future.</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:rPr><w:b/></w:rPr><w:t>EXAMPLE:</w:t></w:r><w:r><w:t> For </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>y=25</w:t></w:r></w:customXml><w:r><w:t>, the semi-primes are: </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>\\{4\\ 6\\ 9\\ 10\\ 14\\ 15\\ 21\\ 22\\ 25\\}</w:t></w:r></w:customXml><w:r><w:t>, and the leap years are: </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>\\{8\\ 12\\ 16\\ 20 \\ 24\\}</w:t></w:r></w:customXml><w:r><w:t>. Therefore the semi-prime leap year pairs for this case are as follows:</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> </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>\\{\\ [\\ 1\\ 16],\\ [\\ 2\\ \\ 8],\\ [\\ 2\\ 12],\\ [\\ 2\\ 16],\\ [\\ 2\\ 24],\\ [\\ 3\\ 12],\\\\\n\\ \\ [\\ 3\\ 24], \\ [\\ 4\\ \\ 8], \\ [\\ 5\\ 20],\\ [\\ 6\\ 12],\\ [\\ 6\\ 16],\\ [\\ 6\\ 20],\\\\\n\\ \\ [\\ 7\\ 16],\\ [\\ 8\\ 12],\\ [\\ 8\\ 14],\\ [\\ 8\\ 17],\\ [\\ 8\\ 18],\\ [\\ 8\\ 22],\\\\\n\\ \\ [\\ 8\\ 23],\\ [\\ 9\\ 24],\\ [10\\ 16],\\ [10\\ 20],\\ [10\\ 24],\\ [11\\ 20],\\\\\n\\ \\ [12\\ 16],\\ [12\\ 18],\\ [12\\ 21],\\ [12\\ 22],\\ [14\\ 20],\\ [14\\ 24],\\\\\n\\ \\ [15\\ 24],\\ [16\\ 20],\\ [16\\ 22],\\ [16\\ 25],\\ [18\\ 24],\\ [20\\ 24] \\ \\}</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Therefore, in this case the function should return: </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>36</w:t></w:r></w:customXml><w:r><w:t> pairs.</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: 20.440000534057617px; 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: normal; text-decoration: none; white-space: normal; "><div style="block-size: 451px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; ">A semi-prime is a positive integer that has only 2<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; "> and exactly 2<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; "> prime factors. Here is a list of the first few semi-primes:<img src="data:image/png;base64,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width="155.5" height="19" style="width: 155.5px; height: 19px;"><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; ">. </div><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; text-align: left; 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; ">We define 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; ">Semi-prime Leap Year Pair<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; "> as a pair of years, whose difference is a semi-prime number and at least one year in the pair is a leap year. Examples of semi-prime leap year pairs are: <img src="data:image/png;base64,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" width="85" height="19" style="width: 85px; height: 19px;"><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; ">, <img src="data:image/png;base64,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" width="85" height="19" style="width: 85px; height: 19px;"><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; ">, and <img src="data:image/png;base64,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" width="85" height="19" style="width: 85px; height: 19px;"><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; ">.</div><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; text-align: left; 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; ">Given a year number y<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; ">, write a program that counts the number of semi-prime leap year pairs between year <img src="data:image/png;base64,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" width="32" height="18" style="width: 32px; height: 18px;"><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; "> and y<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; ">, inclusive.</div><div style="block-size: 84px; 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; text-align: left; 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; ">NOTE:<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; "> Leap years are defined as those years that are divisible by 4<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; ">, except for those that ends in <img src="data:image/png;base64,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" width="30.5" height="18" style="width: 30.5px; height: 18px;"><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; ">, in which case a year is a leap year only if it is divisible by <img src="data:image/png;base64,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" width="25.5" height="18" style="width: 25.5px; height: 18px;"><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; ">. This rule was introduced only starting <img src="data:image/png;base64,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" width="33" height="18" style="width: 33px; height: 18px;"><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; ">. Before <img src="data:image/png;base64,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" width="33" height="18" style="width: 33px; height: 18px;"><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; ">, the rule is much simpler, namely, except for <img src="data:image/png;base64,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" width="32" height="18" style="width: 32px; height: 18px;"><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; ">, all years that are multiples of 4<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; ">, are leap years. Please apply the appropriate rule for each year. Also, please assume that there will not be any more leap year definition changes in the future.</div><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; text-align: left; 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; ">EXAMPLE:<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; "> For <img src="data:image/png;base64,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" width="44.5" height="18" style="width: 44.5px; height: 18px;"><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; ">, the semi-primes are: <img src="data:image/png;base64,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" width="186.5" height="19" style="width: 186.5px; height: 19px;"><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; ">, and the leap years are: <img src="data:image/png;base64,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" width="113.5" height="19" style="width: 113.5px; height: 19px;"><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; ">. Therefore the semi-prime leap year pairs for this case are as follows:</div><div style="block-size: 124px; 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; text-align: left; 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; "> <img 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" width="370.5" height="124" style="width: 370.5px; height: 124px;"></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; text-align: left; 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; ">Therefore, in this case the function should return: <img src="data:image/png;base64,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" width="18" height="18" style="width: 18px; height: 18px;"><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; "> pairs.</div></div></div>

A semi-prime is a positive integer that has only  and exactly  prime factors. Here is a list of the first few semi-primes:. 
We define a Semi-prime Leap Year Pair as a pair of years, whose difference is a semi-prime number and at least one year in the pair is a leap year. Examples of semi-prime leap year pairs are: , , and .
Given a year number , write a program that counts the number of semi-prime leap year pairs between year  and , inclusive.
NOTE: Leap years are defined as those years that are divisible by , except for those that ends in , in which case a year is a leap year only if it is divisible by . This rule was introduced only starting . Before , the rule is much simpler, namely, except for , all years that are multiples of , are leap years. Please apply the appropriate rule for each year. Also, please assume that there will not be any more leap year definition changes in the future.
EXAMPLE: For , the semi-primes are: , and the leap years are: . Therefore the semi-prime leap year pairs for this case are as follows:
                                        
Therefore, in this case the function should return:  pairs.

Solve

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Last Solution submitted on Jan 07, 2023

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GeeTwo on 7 Jan 2023 at 21:00

I scored it medium because even though it took way more time than it should have, I didn't do any literature searches.

OBTW, the drop from my first to second solution was due to borrowing @Tim 's semiprime generator, which I shall likely also use on ES 47, Boxes with Prime Edges.

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Problem 52990. Easy Sequences 46: Semi-prime Leap Year Pairs

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Problem 52990. Easy Sequences 46: Semi-prime Leap Year Pairs

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