CarmichaelLambda[2^n] == 2^(n - 2) /; n >= 3

Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["CarmichaelLambda", "[", SuperscriptBox["2", "n"], "]"]], "\[Equal]", SuperscriptBox["2", RowBox[List["n", "-", "2"]]]]], "/;", RowBox[List["n", "\[GreaterEqual]", "3"]]]]]]

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <semantics> <mi> &#955; </mi> <annotation-xml encoding='MathML-Content'> <ci> CarmichaelLambda </ci> </annotation-xml> </semantics> <mo> ( </mo> <msup> <mn> 2 </mn> <mi> n </mi> </msup> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <msup> <mn> 2 </mn> <mrow> <mi> n </mi> <mo> - </mo> <mn> 2 </mn> </mrow> </msup> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> &#8805; </mo> <mn> 3 </mn> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> CarmichaelLambda </ci> <apply> <power /> <cn type='integer'> 2 </cn> <ci> n </ci> </apply> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <apply> <plus /> <ci> n </ci> <cn type='integer'> -2 </cn> </apply> </apply> </apply> <apply> <geq /> <ci> n </ci> <cn type='integer'> 3 </cn> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["CarmichaelLambda", "[", SuperscriptBox["2", "n_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["2", RowBox[List["n", "-", "2"]]], "/;", RowBox[List["n", "\[GreaterEqual]", "3"]]]]]]]]

2001-10-29