gives the number of prime factors counting multiplicities in n.

Details and OptionsDetails and Options

  • Integer mathematical function, suitable for both symbolic and numerical manipulation.
  • For a number with a unit and primes, PrimeOmega[n] returns k1++km.
  • PrimeOmega[n,GaussianIntegers->True] gives the number of Gaussian prime factors in n.
  • PrimeOmega is a completely additive number theoretic function.
Introduced in 2008