On algebraic structure of the set of prime numbers


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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/56581

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Title:	On algebraic structure of the set of prime numbers
Authors:	Zahedi, Ramin Browse this author
Keywords:	Prime numbers
	Prime numbers Formula
	Primality
Issue Date:	2008
Publisher:	Hokkaido University
Journal Title:	Archive for Studies in Logic (AFSIL)
Volume:	9
Issue:	1
Start Page:	1
End Page:	9
Abstract:	The set of prime numbers has been analyzed, based on their algebraic and arithmetical structure. Here by obtaining a sort of linear formula for the set of prime numbers, they are redefined and identified; under a systematic procedure it has been shown that the set of prime numbers is combinations (unions and intersections) of some subsets of natural numbers, with more primary structures. In fact generally, the logical essence of obtained formula for prime numbers is similar to formula 2n - 1 for odd numbers, and so on. Subsequently, using obtained formula we can define all composite numbers. Finally specified examples for obtained formula are presented.
Rights:	CC Attribution-NonCommercial-ShareAlike 3.0. License URL: https://creativecommons.org/licenses/by-nc-sa/3.0/
Rights:	https://creativecommons.org/licenses/by-nc-sa/3.0/
(Relation)isreplacedby:	http://hdl.handle.net/2115/62699
Type:	article (author version)
URI:	http://hdl.handle.net/2115/56581
Appears in Collections:	文学院・文学研究院 (Graduate School of Humanities and Human Sciences / Faculty of Humanities and Human Sciences) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: Ramin Zahedi

OAI-PMH ( junii2 , jpcoar_1.0 )

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