J. V. Leyendekkers and A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 11, 2005, Number 1, Pages 23–28
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Authors and affiliations
J. V. Leyendekkers
The University of Sydney, 2006 Australia
A. G. Shannon
Warrane College, Kensington, NSW 1465,
& KvB Institute of Technology, North Sydney, NSW 2060, Australia
Abstract
Prime grids are set up in the Modular Ring Z6 for the Classes 26 and 46. The regular formation of composites intrudes into the grid in a predictable manner, which indicates that the primes form in a structured rather than a haphazard manner when viewed in this way.
AMS Classification
- 11A41
- 11A07
References
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- J.V. Leyendekkers, J.M. Rybak & A.G. Shannon, The Characteristics of Primes and Other Integers within the Modular Ring Z4 and in Class 14. Notes on Number Theory & Discrete Mathematics. 4 (1) (1998): 1-17.
- J.V. Leyendekkers & A.G. Shannon, The Analysis of Twin Primes within Z6. Notes on Number Theory & Discrete Mathematics. 7(4) (2001): 115-124.
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- Neal H. McCoy, The Theory of Numbers. New York: Macmillan, 1965, Ch.2..
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Cite this paper
Leyendekkers, J. V., and Shannon, A. G. (2005). Prime grids in the modular ring Z6. Notes on Number Theory and Discrete Mathematics, 11(1), 23-28.