Powers of Two Modulo Powers of Three.
Michael James Coons, Heath Winning · NOVA (University of Newcastle Australia) · 2015
Since 2 is a primitive root of 3m for each positive integer m, the set of points {(n, 2n mod 3m): n = 0}, viewed as a subset of Z=0 ×Z=0 is bi-periodic, with minimal periods f(3m) (horizontally) and 3m (vertically). We show that if one considers the classes of n modulo 6, one obtains a finer structural classification. This result is presented within the context of the question of strong normality of Stoneham numbers.