A Note on twin primes and the modular ring Z 6

Abstract

The modular ring ℤ₆ defines integers via (6r _i + (i − 3)) where i is the class and r _i the row when tabulated in an array. Since only Classes 2₆ and 4₆ contain odd primes, this modular ring is ideally suited to the analysis of twin primes. The calculations are facilitated by the use of the right-end digit (RED) technique.