IntegerLength[n] gives the number of digits in the base 10 representation of the integer n.IntegerLength[n, b] gives the number of digits in the base b representation of n.
InverseGudermannian[z] gives the inverse Gudermannian function gd -1 (z).
KroneckerSymbol[n, m] gives the Kronecker symbol (n/m).
LiouvilleLambda[n] gives the Liouville function \[Lambda](n).
MangoldtLambda[n] gives the von Mangoldt function \[CapitalLambda](n).
PrimeNu
(Built-in Mathematica Symbol) PrimeNu[n] gives the number of distinct primes \[Nu](n) in n.
PrimeOmega[n] gives the number of prime factors counting multiplicities \[CapitalOmega](n) in n.
PrimePi
(Built-in Mathematica Symbol) PrimePi[x] gives the number of primes \[Pi] (x) less than or equal to x.
PrimeZetaP[s] gives prime zeta function P(s).
QFactorial[n, q] gives the q-factorial [n] q!.