The Largest Integer Expressible as a Sum of Reciprocal of Integers

Hisashi Yokota

Research output: Contribution to journalArticle

3 Citations (Scopus)


LetM(n) be the largest integer that can be expressed as a sum of the reciprocal of distinct integers ≤n. Then for somec1,c2>0, log n+γ-2-(c1/log2 n)≤M(n)≤logn+γ-(c2/log2 n), which answers a question of Erdos.

Original languageEnglish
Pages (from-to)206-216
Number of pages11
JournalJournal of Number Theory
Issue number2
Publication statusPublished - 1999 Jun 1


ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this