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Finding N Consecutive Composite Numbers


Date: 02/26/2001 at 01:01:52
From: Amber Parks
Subject: How many primes?

Given a number N > 1, show that there are N-1 consecutive numbers that 
are not prime.


Date: 02/26/2001 at 17:05:36
From: Doctor Rob
Subject: Re: How many primes?

Thanks for writing to Ask Dr. Math, Amber.

Try numbers between N! + 2 and N! + N. They will have factors
2, 3, 4, ..., N, respectively.

- Doctor Rob, The Math Forum
  http://mathforum.org/dr.math/   
    
Associated Topics:
High School Number Theory

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