# Category:Farey Sequence

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This category contains results about **Farey Sequence**.

Definitions specific to this category can be found in Definitions/Farey Sequence.

The **Farey sequence** is a chain of subsets of the reduced rational numbers lying in $\Q \cap \closedint 0 1$.

For $Q \in \Z_{>0}$, the **Farey set** $F_Q$ is the set of all reduced rational numbers with denominators not larger than $Q$:

- $F_Q = \set {\dfrac p q: p = 0, \ldots, Q,\ q = 1, \ldots, Q,\ p \perp q}$

where $p \perp q$ denotes that $p$ and $q$ are coprime.

## Pages in category "Farey Sequence"

The following 2 pages are in this category, out of 2 total.