English

About Some Relatives of the Taxicab Number

Number Theory 2019-08-02 v4

Abstract

The taxicab number, 17291729, has the following property. If we add its digits we obtain 1919. The number obtained from 1919 by reversing the order of its digits is 9191. If we multiply 1919 by 9191 we obtain again 17291729. In the paper we study various generalizations of this property.

Keywords

Cite

@article{arxiv.1805.10739,
  title  = {About Some Relatives of the Taxicab Number},
  author = {Viorel Nitica},
  journal= {arXiv preprint arXiv:1805.10739},
  year   = {2019}
}

Comments

This version has some minor corrections