An Arithmetic Metric
Number Theory
2009-06-04 v1 General Topology
Abstract
What is the distance between 11 (a prime number) and 12 (a highly composite number)? If your answer is 1, then ask yourself "is this reasonable?" In this work, we will introduce a distance between natural numbers based on their arithmetic properties, instead of their position on the real line.
Keywords
Cite
@article{arxiv.0906.0632,
title = {An Arithmetic Metric},
author = {Diego Dominici},
journal= {arXiv preprint arXiv:0906.0632},
year = {2009}
}