On perfect and near-perfect numbers
arXiv:1011.6160
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.
4 pages. At the beginning of 2012, Donavan Johnson found the first odd near-perfect number