Additive properties of even perfect numbers
History and Overview
2009-12-31 v1 Number Theory
Abstract
A positive integer n is said to be perfect if sigma(n)=2n, where sigma denotes the sum of the divisors of n. In this article, we show that if n is an even perfect number, then any integer m<=n is expressed as a sum of some of divisors of n.
Cite
@article{arxiv.0912.5504,
title = {Additive properties of even perfect numbers},
author = {Yu Tsumura},
journal= {arXiv preprint arXiv:0912.5504},
year = {2009}
}
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3 pages