# Farey sequence

> English word · Noun

## Definitions
1. For a given positive integer n, the sequence of completely reduced fractions between 0 and 1 which, when in lowest terms, have denominators less than or equal to n, arranged in order of increasing size.

## Etymology
Named after British geologist John Farey Sr., whose letter about the sequences was published in the Philosophical Magazine in 1816.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/farey-sequence