Prime[n + 1] < Prime[n] + Prime[n]^(23/42) /; n > 9

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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mi> prime </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> n </mi> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo> &lt; </mo> <mrow> <msup> <mrow> <mi> prime </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> <mrow> <mn> 23 </mn> <mo> / </mo> <mn> 42 </mn> </mrow> </msup> <mo> + </mo> <mrow> <mi> prime </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> &gt; </mo> <mn> 9 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <lt /> <apply> <ci> prime </ci> <apply> <plus /> <ci> n </ci> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <plus /> <apply> <power /> <apply> <ci> prime </ci> <ci> n </ci> </apply> <cn type='rational'> 23 <sep /> 42 </cn> </apply> <apply> <ci> prime </ci> <ci> n </ci> </apply> </apply> </apply> <apply> <gt /> <ci> n </ci> <cn type='integer'> 9 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

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2001-10-29