English

Cardinality of a floor function set

Number Theory 2019-05-17 v2

Abstract

Fix a positive integer X. We quantify the cardinality of the set {X/n}n=1X\{\lfloor X/n \rfloor\}_{n=1}^X. We discuss restricting the set to those elements that are prime, semiprime or similar.

Cite

@article{arxiv.1905.00533,
  title  = {Cardinality of a floor function set},
  author = {Randell Heyman},
  journal= {arXiv preprint arXiv:1905.00533},
  year   = {2019}
}

Comments

9 pages. Comments welcome

R2 v1 2026-06-23T08:54:45.339Z