---
tag: 08RQ62VAVA
kind: concept
name: Number of distinct prime factors
msc: [11A25]
sources:
  - url: https://en.wikipedia.org/wiki/Prime_omega_function
    locator: lead section
---

## Summary

The function $\omega(n)$ counts the distinct prime numbers that divide a positive integer $n$.
The [[definition of the number of distinct prime factors|0YVVXT3A0B]] gives the precise form.