Drexel dragonThe Math ForumDonate to the Math Forum

Ask Dr. Math - Questions and Answers from our Archives
Associated Topics || Dr. Math Home || Search Dr. Math

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
Associated Topics:
High School Number Theory

Search the Dr. Math Library:

Find items containing (put spaces between keywords):
Click only once for faster results:

[ Choose "whole words" when searching for a word like age.]

all keywords, in any order at least one, that exact phrase
parts of words whole words

Submit your own question to Dr. Math

[Privacy Policy] [Terms of Use]

Math Forum Home || Math Library || Quick Reference || Math Forum Search

Ask Dr. MathTM
© 1994-2015 The Math Forum