Authors
Citation
M. Deleglise, BOUNDS FOR THE DENSITY OF ABUNDANT INTEGERS, Experimental mathematics, 7(2), 1998, pp. 137-143
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
10586458
Volume
7
Issue
2
Year of publication
1998
Pages
137 - 143
Database
ISI
SICI code
1058-6458(1998)7:2<137:BFTDOA>2.0.ZU;2-2
Abstract
We say that an integer n is abundant if the sum of the divisors of n i
s at least 2n. It has been known [Wall 1972] that the set of abundant
numbers has a natural density A(2) and that 0.244 < A(2) < 0.291. We g
ive the sharper bounds 0.2474 < A(2) < 0.2480.