English

A Game of Primes

General Mathematics 2022-10-06 v5 Formal Languages and Automata Theory

Abstract

The basis for most of the ideas mentioned in this paper is the theory of cellular automata. A cellular automata contains a regular grid of cells, with each cell having a pre-defined set of finite states. The initial state is determined at time/state zero. At this point all the cells are assigned their respective starting states. The automata is defined by a set of simple rules that decide the subsequent states of the cells. We aim to create a cellular automata of prime numbers and come up with some axioms, theorems and conjectures for the same.

Keywords

Cite

@article{arxiv.2111.01374,
  title  = {A Game of Primes},
  author = {Raghavendra Bhat},
  journal= {arXiv preprint arXiv:2111.01374},
  year   = {2022}
}
R2 v1 2026-06-24T07:22:04.671Z