ON NEAR-PERFECT NUMBERS WITH TWO DISTINCT PRIME FACTORS

Author:

REN XIAO-ZHI,CHEN YONG-GAO

Abstract

AbstractRecently, Pollack and Shevelev [‘On perfect and near-perfect numbers’, J. Number Theory 132 (2012), 3037–3046] introduced the concept of near-perfect numbers. A positive integer $n$ is called near-perfect if it is the sum of all but one of its proper divisors. In this paper, we determine all near-perfect numbers with two distinct prime factors.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference3 articles.

1. On perfect and near-perfect numbers

2. [3] N. J. Sloane , ‘The online encyclopedia of integer sequences’, available at http://oeis.org/.

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