---
tag: 0NANDX7V02
kind: concept
name: Harmonic number
msc: [11B83]
sources:
  - url: https://en.wikipedia.org/wiki/Harmonic_number
    locator: lead section
same_as:
  wikidata: Q13407133
  wikipedia: Harmonic number
---

## Summary

The harmonic numbers are the sums $1 + 1/2 + \cdots + 1/n$ of the reciprocals of the first positive integers. They grow like the natural logarithm of $n$. The node [[harmonic number|0D2Y6G4C4S]] gives the precise definition.