PrimeQCertificate (Primality Proving Package Symbol)

PrimeQCertificate[n] gives a certificate that n is prime or that n is composite.

RamanujanTau (Built-in Mathematica Symbol)

RamanujanTau[n] gives the Ramanujan \[Tau] function \[Tau](n).

Divide (Built-in Mathematica Symbol)

x/y or Divide[x, y] is equivalent to x y^-1.

Modulus (Built-in Mathematica Symbol)

Modulus -> n is an option that can be given in certain algebraic functions to specify that integers should be treated modulo n.

MultiplicativeOrder (Built-in Mathematica Symbol)

MultiplicativeOrder[k, n] gives the multiplicative order of k modulo n, defined as the smallest integer m such that k^m \[Congruent] 1 mod n. MultiplicativeOrder[k, n, {r_1, ...

PartitionsQ (Built-in Mathematica Symbol)

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

PolynomialRemainder (Built-in Mathematica Symbol)

PolynomialRemainder[p, q, x] gives the remainder from dividing p by q, treated as polynomials in x.

Prime (Built-in Mathematica Symbol)

Prime[n] gives the n\[Null]^th prime number.

Primes (Built-in Mathematica Symbol)

Primes represents the domain of prime numbers, as in x \[Element] Primes.

Compile (Built-in Mathematica Symbol)

Compile[{x_1, x_2, ...}, expr] creates a compiled function that evaluates expr assuming numerical values of the x_i. Compile[{{x_1, t_1}, ...}, expr] assumes that x_i is of a ...