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Mathematica > Mathematics and Algorithms > Number Theory > Prime Numbers > PrimeNu >

BUILT-IN MATHEMATICA SYMBOL

PrimeNu

PrimeNu[n]
gives the number of distinct primes

in n.

Integer mathematical function, suitable for both symbolic and numerical manipulation.

PrimeNu[n, GaussianIntegers->True] gives the number of distinct Gaussian primes in n.

gives the number of distinct prime factors:

Plot the sequence:

gives the number of distinct prime factors:

Out[1]=

Plot the sequence:

Out[1]=

Evaluate for large arguments:

PrimeNu works over Gaussian integers:

PrimeNu threads element-wise over lists:

Number of prime factors of Gaussian integers:

PrimeNu is an additive function:

The number of prime factors can be found using FactorInteger: