3 papers
math.NT2025
Patterns in Growth and Distribution of Unbounded Prime Number Walks
Alberto Fraile, Daniel Fernández, Roberto Martínez +1
In our previous work, we defined a prime walk (PW) on a square grid and presented several intriguing numerical results. Here, we demonstrate the main conjecture presented there, na…
math.NT2021
Prime numbers and random walks in a square grid
Alberto Fraile, Osame Kinouchi, Prashant Dwivedi +3
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…
math.HO2018
Jacob's Ladder: Prime numbers in 2d
Alberto Fraile, Roberto Martinez, Daniel Fernandez
Prime numbers are one of the most intriguing figures in mathematics. Despite centuries of research, many questions remain still unsolved. In recent years, computer simulations are…