John D. Cook 1/10/2026

Bi-twin prime chains

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This article delves into the mathematical concept of bi-twin prime chains, where sequences of twin prime pairs have averages that double with each step. It defines the terminology, provides examples including the smallest known chain of length three and the longest known record, and explains the connection to primorial numbers. The article includes Python code to verify chain lengths, making it a technical discussion at the intersection of number theory and programming.

Bi-twin prime chains

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