DivisorSigma[1, n] >= n + Sqrt[n] /; NotElement[n, Primes]

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["DivisorSigma", "[", RowBox[List["1", ",", "n"]], "]"]], "\[GreaterEqual]", RowBox[List["n", "+", SqrtBox["n"]]]]], "/;", RowBox[List["n", "\[NotElement]", "Primes"]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <msub> <semantics> <mi> &#963; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Sigma]&quot;, DivisorSigma] </annotation> </semantics> <mn> 1 </mn> </msub> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> <mo> &#8805; </mo> <mrow> <mi> n </mi> <mo> + </mo> <msqrt> <mi> n </mi> </msqrt> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> &#8713; </mo> <semantics> <mi> &#8473; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalP]&quot;, Function[Primes]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <geq /> <apply> <ci> DivisorSigma </ci> <cn type='integer'> 1 </cn> <ci> n </ci> </apply> <apply> <plus /> <ci> n </ci> <apply> <power /> <ci> n </ci> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> <apply> <notin /> <ci> n </ci> <primes /> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["DivisorSigma", "[", RowBox[List["1", ",", "n"]], "]"]], "\[GreaterEqual]", RowBox[List["n", "+", SqrtBox["n"]]]]], "/;", RowBox[List["n", "\[NotElement]", "Primes"]]]]]]

2002-12-18