##  [Computational Number Theory](/computational-number-theory) 

  ##  [Computational Number Theory](https://puremath.quantumdictionary.io/computational-number-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The branch of number theory concerned with designing, analyzing, and implementing algorithms to compute number-theoretic objects and properties, including exact integer arithmetic, primality testing, factorization, computations in finite fields and rings, and effective procedures for Diophantine problems.