Ova-angular rotations of a prime number are characterized, constructed using the Dirichlet theorem. The geometric properties arising from this theory are analyzed and some applications are presented, including Goldbach’s conjecture, the existence of infinite primes of the form  and the convergence of the sum of the inverses of the Mersenne’s primes. Although the mathematics that is used is quite elementary, we can notice the usefulness of this theory based on geometric properties. In this paper, the study ends by introducing the ova-angular square matrix.

prime number, ova-angular rotation, geometric properties, Dirichlet’s theorem.

Received: April 28, 2021; Accepted: August 24, 2021; Published: September 1, 2021

How to cite this article: Yeisson Alexis Acevedo Agudelo, Prime numbers: an alternative study using ova-angular rotations, JP Journal of Algebra, Number Theory and Applications 52(1) (2021), 127-161. DOI: 10.17654/NT052010127

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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