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 EulerPhi

 http://functions.wolfram.com/13.06.03.0001.01

 Input Form

 EulerPhi[p^n] == p^n - p^(n - 1) /; Element[p, Primes] && Element[n, Integers] && n > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["EulerPhi", "[", SuperscriptBox["p", "n"], "]"]], "\[Equal]", RowBox[List[SuperscriptBox["p", "n"], "-", SuperscriptBox["p", RowBox[List["n", "-", "1"]]]]]]], "/;", RowBox[List[RowBox[List["p", "\[Element]", "Primes"]], "\[And]", RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", ">", "0"]]]]]]]]

 MathML Form

 ϕ TagBox["\[Phi]", EulerPhi] ( p n ) p n - p n - 1 /; p TagBox["\[DoubleStruckCapitalP]", Function[Primes]] n + Condition EulerPhi p n p n -1 p n -1 p n SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["EulerPhi", "[", SuperscriptBox["p_", "n_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["p", "n"], "-", SuperscriptBox["p", RowBox[List["n", "-", "1"]]]]], "/;", RowBox[List[RowBox[List["p", "\[Element]", "Primes"]], "&&", RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", ">", "0"]]]]]]]]]]

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

 2001-10-29