Scientific and Technical Journal


ISSN Print 2221-3937
ISSN Online 2221-3805

In this paper, computer simulation methods are used to study the properties of primes as a dynamically developing system. It is shown that unsolved problems in the theory of numbers severely limit the further development of mathematical science in both theoretical and applied aspects. The foundations of experimental mathematics are formed as a tool for constructing information technologies in pure and applied number theory. On the basis of Artin's hypothesis, a generalized hypothesis is formed and shown as a means of non-linear dynamical processes to obtain a sufficiently accurate solution of it.

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24 Oct 2020

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