EFFECTIVE COMPUTABILITY OF THE STRUCTURE OF THE DYNAMIC PROCESSES OF THE FORMATION OF PRIMES

Abstract

An interval method for studying the dynamics of the formation of primes is developed. On the
basis of Fermat's theorem and the residue theorem, a method is developed for analyzing the properties of
prime numbers in terms of the length of the iterative cycle of fixed points determined by prime numbers.
Classification of prime numbers is constructed. The results of computer simulation of the processes of the
formation of prime numbers with account of classification properties are presented.

Author Biographies

George Vostrov, Odessa National Polytechnic University

Ph. D. of Technical Sciences, Associate Professor of the Department
of Applied Mathematics and Information Technologies, Odessa National Polytechnic
University.

Roman Opiata, Odessa National Polytechnic University

PhD student of the Department of Applied Mathematics and Information Technologies, Odessa National Polytechnic University

Published
2017-05-10
How to Cite
Vostrov, G., & Opiata, R. (2017). EFFECTIVE COMPUTABILITY OF THE STRUCTURE OF THE DYNAMIC PROCESSES OF THE FORMATION OF PRIMES. Electrotechnic and Computer Systems, (25(101), 432-438. https://doi.org/10.15276/eltecs.25.101.2017.51
Section
Information systems and technologies

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