##  [Dirichlet's Theorem on Arithmetic Progressions](/dirichlets-theorem-arithmetic-progressions) 

  ##  [Dirichlet's Theorem on Arithmetic Progressions](https://mathlogic.quantumdictionary.io/dirichlets-theorem-arithmetic-progressions-0) 

  

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**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The theorem asserting that for any arithmetic progression a, a+d, a+2d, ... with integers a and d satisfying gcd(a,d)=1, there are infinitely many prime numbers in that progression.