E-symmetric numbers
Volume 103 / 2005
Colloquium Mathematicum 103 (2005), 17-25
MSC: 11A41, 11N36.
DOI: 10.4064/cm103-1-3
Abstract
A positive integer $n$ is called E-symmetric if there exists a positive integer $m$ such that $|m-n|=(\phi(m),\phi(n))$, and $n$ is called E-asymmetric if it is not E-symmetric. We show that there are infinitely many E-symmetric and E-asymmetric primes.
