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A remark on a paper of Luca

Authors :
Imre Kátai
Source :
Acta Mathematica Hungarica. 113:313-318
Publication Year :
2006
Publisher :
Springer Science and Business Media LLC, 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.

Details

ISSN :
15882632 and 02365294
Volume :
113
Database :
OpenAIRE
Journal :
Acta Mathematica Hungarica
Accession number :
edsair.doi...........9d0dc7a922f59bd402d71fff8040509a