Prime divisors of shifted factorials

Florian Luca*, Igor E. Shparlinski

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
8 Downloads (Pure)

Abstract

For any positive integer n we let P(n) be the largest prime factor of n. We improve and generalize several results of P. Erdos and C. Stewart on P(n!+1). In particular, we show that limsupn→∞P(n!+1)/n ≥ 2.5, which improves their lower bound of limsupn→∞P(n!+1)/n > 2.

Original languageEnglish
Pages (from-to)809-817
Number of pages9
JournalBulletin of the London Mathematical Society
Volume37
Issue number6
DOIs
Publication statusPublished - Dec 2005

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