On algebraic structure of the set of prime numbers

Zahedi, Ramin

Archive for Studies in Logic (AFSIL), 2008, 9(1), 1-9

Permalink : https://hdl.handle.net/2115/56581

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アクセス権	open access
URI	https://hdl.handle.net/2115/56581
タイトル	On algebraic structure of the set of prime numbers
著者	著者名 Zahedi, Ramin
言語	英語
キーワード	Prime numbers
	Prime numbers Formula
	Primality
発行日	2008
出版者	Hokkaido University
収録物名	Archive for Studies in Logic (AFSIL)
巻(号)	9(1)
ページ	1-9
抄録	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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Creative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported
権利情報	CC Attribution-NonCommercial-ShareAlike 3.0. License URL: https://creativecommons.org/licenses/by-nc-sa/3.0/
関連情報 (references)	HDL https://hdl.handle.net/2115/62699