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Journal of Automation and Information Sciences

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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On the Properties and Estimates for Prime Numbers Sequences

Volumen 47, Ausgabe 12, 2015, pp. 44-58
DOI: 10.1615/JAutomatInfScien.v47.i12.40
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ABSTRAKT

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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