On near-perfect numbers of special forms

2022/06/14 by Elchin Hasanalizade, Hasanalizade, Elchin · 2 citations
Physics and Astronomy · Computer Science · Mathematics · #Advanced Mathematical Theories and Applications #Computability, Logic, AI Algorithms #Benford’s Law and Fraud Detection

paper · pdf · doi:10.48550/arxiv.2206.10353

Abstract

In this paper we discuss near-perfect numbers of various forms. In particular, we study the existence of near-perfect numbers in the Fibonacci and Lucas sequences, near-perfect values taken by integer polynomials and repdigit near-perfect numbers.

Cited by

• Complete characterization of 2-near perfect numbers with exactly 2 prime factors
• On near superperfect numbers, the Goormaghtigh conjecture, and Mertens' theorem

Related

• On Near Perfect Numbers
• On perfect and near-perfect numbers
• Lucas sequences whose 12th or 9th term is a square
• Some New Results On Even Almost Perfect Numbers Which Are Not Powers Of Two
• Note on the Theory of Perfect Numbers