The Octets of Odd Numbers

Emmanuil Manousos
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Emmanuil Manousos: APM Institute for the Advancement of Physics and Mathematics, Greece

European Journal of Mathematics and Statistics, 2025, vol. 6, issue 5, 8-22

Abstract: In this paper we present a coherent network of concepts, theorems, propositions, and corollaries that arise from a theorem. A linear combination of powers of two uniquely represents every odd number except 1. The powers of 2 are consecutive with the coefficients −1 or +1. From this representation, a set of mathematical concepts leads to a mathematical object, the octets of odd numbers. We studied the properties of octets and their relationship to the structure of odd numbers. Thus, a new framework for the study of natural numbers emerges.

Keywords: Conjugate; l/r symmetry; octets of odd numbers; transpose (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:6:y:2025:i:5:id:14412

DOI: 10.24018/ejmath.2025.6.5.412

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