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 Prime

 http://functions.wolfram.com/13.03.32.0003.01

 Input Form

 Mod[Binomial[2 Prime[k] - 1, Prime[k] - 1], Prime[k]^3] == 1 /; k > 2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Mod", "[", RowBox[List[RowBox[List["Binomial", "[", RowBox[List[RowBox[List[RowBox[List["2", " ", RowBox[List["Prime", "[", "k", "]"]]]], "-", "1"]], ",", RowBox[List[RowBox[List["Prime", "[", "k", "]"]], "-", "1"]]]], "]"]], ",", SuperscriptBox[RowBox[List["Prime", "[", "k", "]"]], "3"]]], "]"]], "\[Equal]", "1"]], "/;", RowBox[List["k", ">", "2"]]]]]]

 MathML Form

 ( 2 prime ( k ) - 1 prime ( k ) - 1 ) mod prime ( k ) 3 Binomial 2 Prime FE`Conversion`Private`k -1 Prime FE`Conversion`Private`k -1 Prime FE`Conversion`Private`k 3 1 /; k > 2 Condition Binomial 2 Prime FE`Conversion`Private`k -1 Prime FE`Conversion`Private`k -1 Prime FE`Conversion`Private`k 3 1 k 2 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Mod", "[", RowBox[List[RowBox[List["Binomial", "[", RowBox[List[RowBox[List[RowBox[List["2", " ", RowBox[List["Prime", "[", "k", "]"]]]], "-", "1"]], ",", RowBox[List[RowBox[List["Prime", "[", "k", "]"]], "-", "1"]]]], "]"]], ",", SuperscriptBox[RowBox[List["Prime", "[", "k", "]"]], "3"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["1", "/;", RowBox[List["k", ">", "2"]]]]]]]]

 Date Added to functions.wolfram.com (modification date)

 2001-10-29