Author(s)

Javier Mendoza-Navarrete¹, Huetzin Perez², Ismael Ojeda³, Victor Verdugo³, Gabriel Luna Sandoval⁴, Ricardo Jimenez Garcia⁵, Jaime Alvarez⁶

¹Departametno de Matemáticas, CBTis 256 DGETI, Cabo San Lucas, México.
²DCI Departamento de Fisica Médica, Universidad de Guanajuato, Leon, México.
³División de Ingenieria en Sistemas Computacionales, Tecnológico Nacional de México ITES Los Cabos, Cabo San Lucas, México.
⁴Departamento de Ingenieria Industrial en Manufactura, Universidad Estatal de Sonora, Navojoa, México.
⁵Departamento de Eléctrica-Electrónica, Tecnológico Nacional de México Campus Mexicali, Mexicali, México.
⁶Guanajuato, México.

This work presents a different approach to twin primes, an approach from the perspective of the Tesla numbers and gives a refresh and new observation of twin primes that could lead us to an answer to the Twin Prime Conjecture problem. We expose a peculiar relation between twin primes and the generation of prime numbers with Tesla numbers. Tesla numbers seem to be present in so many domains like time, vibration and frequency <a href="#ref1">[1]</a>, and the space between twin primes is not the exception. Let us say that twin primes are more than just prime numbers plus 2 or minus 2, and Tesla numbers are more involved with twin primes than we think, and hopefully, this approach give us a better understanding of the distribution of the twin pairs.

Tesla Numbers, Prime Number, Twin Prime Numbers, Twin Pair

Mendoza-Navarrete, J. , Perez, H. , Ojeda, I. , Verdugo, V. , Sandoval, G. , Garcia, R. and Alvarez, J. (2024) Distribution and Relation of Primes with Tesla Numbers 3, 6, and 9. Journal of Applied Mathematics and Physics, 12, 1021-1027. doi: 10.4236/jamp.2024.124062.