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A remark on a paper of Luca.

Authors :
Kátai, Imre
Source :
Acta Mathematica Hungarica. Dec2006, Vol. 113 Issue 4, p313-318. 6p.
Publication Year :
2006

Abstract

It is proved that the set of those natural numbers which cannot be written as n-Ω( n) is of positive lower density. Here Ω( n) is the number of the prime power divisors of n. This is a refinement of a theorem of F. Luca. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02365294
Volume :
113
Issue :
4
Database :
Academic Search Index
Journal :
Acta Mathematica Hungarica
Publication Type :
Academic Journal
Accession number :
23127626
Full Text :
https://doi.org/10.1007/s10474-006-0107-8