# Bitwin chain

From Number

## Contents

## Definition

A **bitwin chain** of length is defined as a collection of natural numbers:

such that all the numbers in the chain are prime.

Note that the numbers forms a Cunningham chain of the first kind of length , while forms a Cunningham chain of the second kind. Each of the pairs is a pair of twin primes. Each of the primes for is a Sophie Germain prime and each of the primes for is a safe prime.

## Relation with other properties

### Related chains

### Related properties of primes/pairs of primes

- Twin primes
- Sophie Germain prime is a prime such that is also prime.
- Safe prime is a prime such that is also prime.