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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v47.i12.40
pages 44-58

On the Properties and Estimates for Prime Numbers Sequences

Evgeniy V. Ivokhin
Kiev National Taras Shevchenko University, Kiev
Dmitriy A. Vadnev
Kiev National Taras Shevchenko University, Kiev

ABSTRACT

The specific sequences of prime numbers, their properties are considered, operations on the considered sequences are introduced. The estimates for arrangement intervals of the prime numbers, the nearest to a given number, are obtained. An algorithm to approximate an arbitrary rational number, using the elements of introduced sequences of prime numbers, is proposed. The statements for estimates of arrangement intervals of the prime numbers, nearest to a given integer, are proved. The obtained results enable one to substantiate the method of constructing triangular fuzzy numbers in the form of intervals, which boundaries are chosen using the elements of special sequences of prime numbers.


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