On perfect and near-perfect numbers
Number Theory
2012-02-20 v3
Abstract
We call positive integer n a near-perfect number, if it is sum of all its proper divisors, except of one of them ("redundant divisor"). We prove an Euclid-like theorem for near-perfect numbers and obtain some other results for them.
Keywords
Cite
@article{arxiv.1011.6160,
title = {On perfect and near-perfect numbers},
author = {Vladimir Shevelev},
journal= {arXiv preprint arXiv:1011.6160},
year = {2012}
}
Comments
4 pages. At the beginning of 2012, Donavan Johnson found the first odd near-perfect number