Back to Search
Start Over
Prime numbers and random walks in a square grid
- Publication Year :
- 2021
-
Abstract
- In recent years, computer simulations are playing a fundamental role in unveiling some of the most intriguing features of prime numbers. In this work, we define an algorithm for a deterministic walk through a two-dimensional grid that we refer to as Prime Walk. The walk is constructed from a sequence of steps dictated by and dependent on the sequence of last digits of the primes. Despite the apparent randomness of this generating sequence, the resulting structure -- both in 2d and 3d -- created by the algorithm presents remarkable properties and regularities in its pattern that we proceed to analyze in detail.<br />Comment: 7 pages, 7 figures
- Subjects :
- Mathematics - Number Theory
Mathematics - History and Overview
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2105.12547
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.104.054114