Bounds for the density of abundant integers
Marc Deléglise
Source: Experiment. Math. Volume 7, Issue 2 (1998), 137-143.
Abstract
We say that an integer $n$ is abundant if the sum of the divisors of $n$ is at least $2n$. It has been known [wall71] that the set of abundant numbers has a natural density $A(2)$ and that $0.244 < A(2) < 0.291$. We give the sharper bounds $0.2474 < A(2) < 0.2480$.
Full-text: Open access
Permanent link to this document: http://projecteuclid.org/euclid.em/1048515661
Mathematical Reviews number (MathSciNet):
MR1677091
Zentralblatt MATH identifier:
0923.11127
Experimental Mathematics