PartitionsP[n] gives the number p (n) of unrestricted partitions of the integer n.
PartitionsQ[n] gives the number q (n) of partitions of the integer n into distinct parts.
PolynomialRemainder[p, q, x] gives the remainder from dividing p by q, treated as polynomials in x.
Primes
(Built-in Mathematica Symbol) Primes represents the domain of prime numbers, as in x \[Element] Primes.
RamanujanTauL[s] gives the Ramanujan tau Dirichlet L-function L(s).
RandomPrime[{i_min, i_max}] gives a pseudorandom prime number in the range i_min to i_max.RandomPrime[i_max] gives a pseudorandom prime number in the range 2 to ...
Range
(Built-in Mathematica Symbol) Range[i_max] generates the list {1, 2, ..., i_max}. Range[i_min, i_max] generates the list {i_min, ..., i_max}. Range[i_min, i_max, di] uses step di.
Reals
(Built-in Mathematica Symbol) Reals represents the domain of real numbers, as in x \[Element] Reals.
RootOfUnityQ[a] yields True if a is a root of unity, and yields False otherwise.
SpheroidalS1[n, m, \[Gamma], z] gives the radial spheroidal function S_n^m, (1)(\[Gamma], z) of the first kind.