@article{article_405351, title={ON A NEW METHOD FOR CALCULATION OF THE NUMBER OF PRIME NUMBERS IN THE GIVEN INTERVAL}, journal={Journal of Science and Technology of Dumlupınar University}, pages={9–20}, year={2017}, author={Sabziyev, Nariman}, keywords={Asal sayılar,Sayı teorisi,Kompleks fonsiyonlu değişkenler teorisi}, abstract={<p class="MsoNormal" style="text-align:justify;tab-stops:center 240.0pt right 475.0pt"> <span lang="EN-US" style="font-size:10.0pt;font-family:"Times New Roman","serif"; mso-ansi-language:EN-US;mso-no-proof:yes">Looking at the history of the development of the number theory, it becomes apparent that the solution to some of the fundamental problems of this theory depends on the number of primes in the given interval and rule for distribution of primes. Note that the methods of the theory of functions of complex variable was used  for accurate assessment of the asymptotic distribution of prime numbers; inaccuracies in the results led to such a conclusion that it would be more useful to solve the problems of the number theory by utilizing the methods of the theory of functions of complex variable. In this work, exact number of primes in the given interval was found without using the methods of the theory of functions of complex variable; derived results will hugely contribute to the solution of several problems of the number theory. For describing the behavior of the distribution function of prime numbers it is necessary to investigate some auxiliary classes of natural numbers. The given paper is devoted to investigation of some subclasses of natural numbers, that allows to describe the distribution function of prime numbers [1], [2]. <o:p> </o:p> </span> </p>}, number={037}, publisher={Kütahya Dumlupınar Üniversitesi}