DivisorSigma[k, 10] == 1 + 2^k + 5^k + 10^k

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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> <msub> <semantics> <mi> &#963; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Sigma]&quot;, DivisorSigma] </annotation> </semantics> <mi> k </mi> </msub> <mo> ( </mo> <mn> 10 </mn> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mn> 1 </mn> <mo> + </mo> <msup> <mn> 2 </mn> <mi> k </mi> </msup> <mo> + </mo> <msup> <mn> 5 </mn> <mi> k </mi> </msup> <mo> + </mo> <msup> <mn> 10 </mn> <mi> k </mi> </msup> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ci> DivisorSigma </ci> <ci> k </ci> <cn type='integer'> 10 </cn> </apply> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <power /> <cn type='integer'> 2 </cn> <ci> k </ci> </apply> <apply> <power /> <cn type='integer'> 5 </cn> <ci> k </ci> </apply> <apply> <power /> <cn type='integer'> 10 </cn> <ci> k </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

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2001-10-29