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 Quotient

 http://functions.wolfram.com/04.07.03.0010.01

 Input Form

 Quotient[(p - 1)!, p] == (1 - p + (p - 1)!)/p /; Element[p, Primes]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Quotient", "[", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["p", "-", "1"]], ")"]], "!"]], ",", "p"]], "]"]], "\[Equal]", FractionBox[RowBox[List["1", "-", "p", "+", RowBox[List[RowBox[List["(", RowBox[List["p", "-", "1"]], ")"]], "!"]]]], "p"]]], "/;", " ", RowBox[List["p", "\[Element]", "Primes"]]]]]]

 MathML Form

 quotient ( ( p - 1 ) ! , p ) ( p - 1 ) ! + 1 - p p /; p TagBox["\[DoubleStruckCapitalP]", Function[Primes]] Condition quotient p -1 p p -1 1 -1 p p -1 p [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Quotient", "[", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["p_", "-", "1"]], ")"]], "!"]], ",", "p_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List["1", "-", "p", "+", RowBox[List[RowBox[List["(", RowBox[List["p", "-", "1"]], ")"]], "!"]]]], "p"], "/;", RowBox[List["p", "\[Element]", "Primes"]]]]]]]]

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

 2001-10-29