---
tag: 0XRDYJQES6
kind: concept
name: Farey sequence
msc: [11B57]
sources:
  - url: https://en.wikipedia.org/wiki/Farey_sequence
    locator: lead section
same_as:
  wikidata: Q1396592
  wikipedia: Farey sequence
---

## Summary

The Farey sequence of order $n$ is the increasing list of reduced fractions between $0$ and $1$ with denominators at most $n$.
The [[definition of a Farey sequence|0PN4QJE969]] gives the precise form.