Cunningham chain of the second kind

Definition

Let $k$ be a natural number. A Cunningham chain of the first kind of length $k$ is a sequence of primes $q_{1}<q_{2}<\dots <q_{k}$ if $q_{i+1}=2q_{i}-1$ for each $1\leq i\leq k-1$.

A complete Cunningham chain of the second kind is a Cunningham chain of the second kind that cannot be extended further in either direction.

Relation with other properties=

• Cunningham chain of the first kind
• Bitwin chain is a combination of Cunningham chains of both kinds as well as twin primes.