Associated Topics || Dr. Math Home || Search Dr. Math

```
Date: 11/26/2001 at 18:22:10
From: Will

What are adjacent primes?

Thanks a bunch,
Will Little
```

```
Date: 11/27/2001 at 17:34:46
From: Doctor Achilles
Subject: Re: Adjacent Primes

Hi Will,

Thanks for writing to Dr. Math.

Adjacent primes are two consecutive odd integers, both of which are
prime. For example, 3 and 5 are adjacent primes, as are 5 and 7. So
are 11 and 13 and 17 and 19.

Of course, since prime numbers become more and more scarce are you get
into larger integers, adjacent primes get few and far between.  I once
heard a conjecture that there are an infinite number of adjacent
primes, but I don't know whether it's ever been proven or not.

Hope this helps.  Let me know if I can be of more assistance.

- Doctor Achilles, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Definitions
Middle School Prime Numbers

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