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On near-perfect numbers of special forms

Number Theory 2022-06-22 v1

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.

Keywords

Cite

@article{arxiv.2206.10353,
  title  = {On near-perfect numbers of special forms},
  author = {Elchin Hasanalizade},
  journal= {arXiv preprint arXiv:2206.10353},
  year   = {2022}
}

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5 pages