##  [Euclid's Theorem](/euclids-theorem) 

  ##  [Euclid's Theorem](https://puremath.quantumdictionary.io/euclids-theorem-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The theorem asserting that there are infinitely many prime numbers; classically proved by constructing a new integer from any finite list of primes that yields a prime factor not in the list.