Krassimir T. Atanassov and Anthony G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132
Volume 14, 2008, Number 4, Pages 4—9
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Authors and affiliations
Krassimir T. Atanassov
Centre for Biomedical Engineering – Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 105, Sofia 1113, Bulgaria
A. G. Shannon
Raffles College of Design and Commerce, North Sydney, NSW 2060, &
Warrane College, University of New South Wales, NSW 1464, Australia
Abstract
The simple function f(n) = ½n(an ± 1), a = 1, 3, 5 with n = 1, 2, …, 200, generated 615 primes of the modular ring Z6. 194 of these were twin primes. Values of n which yielded primes for all f(n) were simply related to the number of primes in a given range.
References
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- Atanassov, K. On some Pascal’s like triangles. Part 4. Notes on Number Theory and Discrete Mathematics, Vol. 13, 2007, No. 4, 11-20.
- Atanassov, K., V. Atanassova, A. Shannon, J. Turner. New Visual Perspectives on Fibonacci Numbers. World Scientific, New Jersey, 2002.
- Atanassov, K., Shannon, A., Fibonacci planes and spaces, in (F. Howard, Ed.) Applications of Fibonacci Numbers, Vol. 8, Dodrecht, Kluwer, 1999, 43-46.
Related papers
- Atanassov, K. T., & Shannon, A. G. (2020). On intercalated Fibonacci sequences. Notes on Number Theory and Discrete Mathematics, 26 (3), 218-223
Cite this paper
Atanassov, K. T., & Shannon, A. G. (2008). A Fibonacci cylinder. Notes on Number Theory and Discrete Mathematics, 14(4), 4-9.