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PrimeNu

PrimeNu[n]
gives the number of distinct primes

in n.

MORE INFORMATION

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

For a number n=u p₁^k₁ p_m^k_m with u a unit and p_i primes, PrimeNu[n] returns m.

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

PrimeNu also works for rational numbers.

PrimeNu is an additive number theoretic function.

Basic Examples (2)

gives the number of distinct prime factors:

Plot the sequence:

Properties & Relations (2)

FactorInteger PrimeOmega MoebiusMu

Demonstrations with PrimeNu (Wolfram Demonstrations Project)

New in 7

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