On rough and smooth neighbors

William D. Banks*, Florian Luca, Igor E. Shparlinski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We study the behavior of the arithmetic functions defined by

F(n) = P+(n)/P-(n+1) and G(n) = P+(n + 1)/P-(n) (n >= 1),

where P+(k) and P-(k) denote the largest and the smallest prime factors, respectively, of the positive integer k.

Original languageEnglish
Pages (from-to)109-118
Number of pages10
JournalRevista Matematica Complutense
Volume20
Issue number1
Publication statusPublished - 2007

Keywords

  • smallest prime divisor
  • largest prime divisor
  • PRIME FACTORS

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