 ##  [Prime Gap](/prime-gap) 

  ##  [Prime Gap](https://puremath.quantumdictionary.io/prime-gap-0) 

  
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- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

The positive integer difference g_n = p_{n+1} − p_n between two successive prime numbers p_n and p_{n+1}; a local measure of how far apart consecutive primes lie.