binary expansion On the Distribution of the Numbers with Binary Expansions of a Special Type in Arithmetic Progressions Authors: Naumenko A. P. Let 2 be the primitive root mod p. Let N0 be a set of natural numbers whose binary expansions contain even numbers of 1. Numbers from N0 are uniformly distributed in arithmetic progressions with the difference p. Read more about On the Distribution of the Numbers with Binary Expansions of a Special Type in Arithmetic Progressions