On the Theory of Perfect Numbers and Primes

EasyChair Preprint 7223

Abstract

This paper explores the properties of the set n(n+1)/2 and its implication on the distribution of perfect numbers. A major takeaway is a conjecture that all perfect numbers - even and odd lie on that line.

It also describes primes arising from the perfect number line equation and equivalent statements
of perfectness.

Keyphrases: Odd perfect number, Perfect number, Prime number

@booklet{EasyChair:7223,
  author    = {Alex Nguhi},
  title     = {On the Theory of Perfect Numbers and Primes},
  howpublished = {EasyChair Preprint 7223},
  year      = {EasyChair, 2021}}