 ##  [Farey Sequence](/farey-sequence) 

  ##  [Farey Sequence](https://puremath.quantumdictionary.io/farey-sequence-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

The ascending sequence of reduced rational numbers between 0 and 1 whose denominators do not exceed a given positive integer N, arranged in increasing order and including 0/1 and 1/1.