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Article: Investigating connections between some Smarandache sequences, prime numbers and magic squares.
- Article from:
- Smarandache Notions Journal
- Article date:
- January 1, 2001
- Author:
CopyrightCOPYRIGHT 2001 American Research Press. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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In this paper we investigate some properties of Smarandache sequences of the 2nd kind and demonstrate that these numbers are near prime numbers. In particular, we establish that prime numbers and Smarandache numbers of the 2nd kind (a) may be computed from the similar analytical expressions, (b) may be used for constructing Magic squares 3x3 or Magic squares 9x9, consisted of 9 Magic squares 3x3.
Key words: prime numbers, Smarandache numbers of the 2nd kind, density of numerical sequences, Magic squares 3x3 and 9x9.
1 Introduction
We remind [2, 3], that in the general case Magic squares represent by themselves numerical or analytical square ...