The recursive structure of the distribution of primes

TL;DR

This paper explores the recursive structure of prime distribution by analyzing intersections of non-multiples of various numbers, revealing an underlying recursive relationship among primes across different ranges.

Contribution

It introduces a novel recursive framework for understanding prime distribution through intersections of non-multiple sets, offering new insights into their internal structure.

Findings

Existence of a recursive relationship between primes of different ranges

Identification of an inner structure within the set of primes

Method for analyzing primes via intersections of non-multiple sets

Abstract

In this work I look at the distribution of primes by calculation of an infinite number of intersections. For this I use the set of all numbers which are not elements of a certain times table in each case. I am able to show that it exists a recursive relationship between primes of different ranges and so to describe some inner structure of this special set of numbers.