On near-perfect numbers with two distinct prime factors

Authors

  • X.-Z. Ren
  • Y.-G. Chen Nanjing Normal University

Keywords:

Perfect number, Sum-of-divisors function, Near perfect number

Abstract

Recently, Pollack and Shevelev introduced the concept of near-perfect numbers in Journal of Number Theory. A positive integer $n$ is called a \emph{near-perfect number} if it is the sum of all of its proper divisors, except for one of them. In this paper, we determine all near-perfect numbers with two distinct prime factors. 10.1017/S0004972713000178

Author Biography

Y.-G. Chen, Nanjing Normal University

School of Mathematical Sciences and Institute of Mathematics, Professor

Published

2013-09-27

Issue

Vol. 88 No. 3 (2013)

Section

Articles
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