Vipul: Created page with '==Definition== Let $k$ be a natural number. A '''Cunningham chain of the first kind''' of length $k$ is a sequence of primes $q_1 < q_2 < \dots < …'$

2010-05-02T02:21:14Z

Created page with '==Definition== Let <math>k</math> be a natural number. A '''Cunningham chain of the first kind''' of length <math>k</math> is a sequence of primes <math>q_1 < q_2 < \dots < …'

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==Definition==

Let <math>k</math> be a [[natural number]]. A '''Cunningham chain of the first kind''' of length <math>k</math> is a sequence of primes <math>q_1 < q_2 < \dots < q_k</math> if <math>q_{i + 1} = 2q_i - 1</math> for each <math>1 \le i \le k - 1</math>.

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]].

Cunningham chain of the second kind - Revision history

Vipul: Created page with '==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 < …'

Vipul: Created page with '==Definition== Let $k$ be a natural number. A '''Cunningham chain of the first kind''' of length $k$ is a sequence of primes $q_1 < q_2 < \dots < …'$