html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Prime

 http://functions.wolfram.com/13.03.24.0001.01

 Input Form

 Product[Subscript[p, k], {k, 1, n}] > Subscript[p, n + 1] Subscript[p, n + 2] /; n >= 4 && Element[Subscript[p, k], Primes]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "n"], SubscriptBox["p", "k"]]], ">", RowBox[List[SubscriptBox["p", RowBox[List["n", "+", "1"]]], " ", SubscriptBox["p", RowBox[List["n", "+", "2"]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[GreaterEqual]", "4"]], "\[And]", RowBox[List[SubscriptBox["p", "k"], "\[Element]", "Primes"]]]]]]]]

 MathML Form

 k = 1 n p k > p n + 1 p n + 2 /; n 4 p k TagBox["\[DoubleStruckCapitalP]", Function[Primes]] Condition k 1 n Subscript p k Subscript p n 1 Subscript p n 2 n 4 Subscript p k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "n"], SubscriptBox["p", "k"]]], ">", RowBox[List[SubscriptBox["p", RowBox[List["n", "+", "1"]]], " ", SubscriptBox["p", RowBox[List["n", "+", "2"]]]]]]], "/;", RowBox[List[RowBox[List["n", "\[GreaterEqual]", "4"]], "&&", RowBox[List[SubscriptBox["p", "k"], "\[Element]", "Primes"]]]]]]]]

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

 2001-10-29