2006/09/28 by Andrei V. Vityazev, Vityazev, Andrei V., G. V. Pechernikova +2
Computer Science · Mathematics · Physics and Astronomy · #Chaos-based Image/Signal Encryption #Computability, Logic, AI Algorithms #FOS: Mathematics #General Mathematics (math.GM) #Quantum chaos and dynamical systems #math.GM
paper · pdf · doi:10.48550/arxiv.math/0609797
10 pages, 4 figures, 2 tables
arxiv created 2006/09/28 · openalex publication_date 2006/09/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the course of studies of the measure of chaos for the distribution of the prime numbers among the positive integers N arched structures have been found. It is given a brief description of the fine structure of the positive integers sequence, including the distribution of the prime numbers. A new non-Eratostenian sieve was built to demonstrate the multi-periodicity in the structure of the positive integers sequence. This sieve presents an infinite triangular matrix, which is named by us as R-matrix (Russian matrix). The simple deterministic equations for prime numbers and the main term of asymptotic were derived with the use of this matrix.