paper

A new characterization of prime numbers and solution to Lehmer's conjecture on Euler's totient function

arXiv:2302.07368

Abstract

By using the elementary symmetric polynomials and some results of number theory, we solve the well known problem of Lehmer on Euler's totient function. As application, we obtain a new characterization of prime numbers.

arXiv commentthere was an error in Theorem 2.3