The Symmetry of Primitive Root in Number Theory

Abstract

Symmetry refers to the exact same characteristics on both sides of an object or figure on a central axis or plane. In science and daily life, symmetrical things give people a sense of dignity and contain the beauty of balance and stability. It includes concepts such as space symmetry, time symmetry and group theory. In this article, the author explores an interesting phenomenon of primitive roots in number theory–symmetry, by symmetry, all primitive roots can be quickly solved.