JacobiSymbol (Built-in Mathematica Symbol)

JacobiSymbol[n, m] gives the Jacobi symbol (n/m).

PartitionsP (Built-in Mathematica Symbol)

PartitionsP[n] gives the number p (n) of unrestricted partitions of the integer n.

PartitionsQ (Built-in Mathematica Symbol)

PartitionsQ[n] gives the number q (n) of partitions of the integer n into distinct parts.

PopupWindow (Built-in Mathematica Symbol)

PopupWindow[expr, contents] displays as expr, but pops up a window containing contents when clicked.

RandomInteger (Built-in Mathematica Symbol)

RandomInteger[{i_min, i_max}] gives a pseudorandom integer in the range {i_min, i_max}. RandomInteger[i_max] gives a pseudorandom integer in the range {0, ...

ExtendedGCD (Built-in Mathematica Symbol)

ExtendedGCD[n_1, n_2, ...] gives the extended greatest common divisor of the integers n_i.

Reverse (Built-in Mathematica Symbol)

Reverse[expr] reverses the order of the elements in expr. Reverse[expr, n] reverses elements at level n in expr.Reverse[expr, {n_1, n_2, ...}] reverses elements at levels ...

PrimePowerQ (Built-in Mathematica Symbol)

PrimePowerQ[expr] yields True if expr is a power of a prime number, and yields False otherwise.

SquareFreeQ (Built-in Mathematica Symbol)

SquareFreeQ[expr] gives True if expr is a square-free polynomial or number, and False otherwise.SquareFreeQ[expr, vars] gives True if expr is square free with respect to the ...

Xor (Built-in Mathematica Symbol)

Xor[e_1, e_2, ...] is the logical XOR (exclusive OR) function. It gives True if an odd number of the e_i are True, and the rest are False. It gives False if an even number of ...