##  [Sieve Methods](/sieve-methods) 

  ##  [Sieve Methods](https://puremath.quantumdictionary.io/sieve-methods-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A family of combinatorial and analytic techniques for estimating the size or distribution of sets of integers subject to arithmetic constraints by constructing sieving weights and applying inclusion–exclusion style arguments to remove undesired prime factors or residue classes.