Bitwin chain

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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