Prime sequences

J. V. Leyendekkers and A. G. Shannon
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 24, 2018, Number 3, Pages 77—83
DOI: 10.7546/nntdm.2018.24.3.77-83
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Authors and affiliations

J. V. Leyendekkers
Faculty of Science, The University of Sydney, NSW 2006, Australia

A. G. Shannon
Warrane College, The University of New South Wales, NSW 2033, Australia
Emeritus Professor, University of Technology Sydney, NSW 2007, Australia

Abstract

Primes are considered in three sequences, of which two are exclusive to specific primes. These sequences have the integers represented in the form nR where R is the right-end-digit of the prime and n represents the remaining left digits which are given by linear equations.

Keywords

  • Right-end-digits
  • Integer structure analysis
  • Modular rings
  • Prime-indexed numbers
  • Fibonacci numbers
  • Mersenne numbers

2010 Mathematics Subject Classification

  • 11A51
  • 11A07

References

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  3. Leyendekkers, J. V., Shannon, A. G., & Rybak, J. M. (2007) Pattern Recognition: Modular Rings and Integer Structure. North Sydney: Raffles KvB Monograph No.9.
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  5. Leyendekkers, J. V., & Shannon, A. G. (1998) The characteristics of primes and other integers within Modular Ring Z4 and in Class 34. Notes on Number Theory and Discrete Mathematics, 4 (1), 18–37.
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Cite this paper

APA

Leyendekkers, J. V. & Shannon, A. G. (2018). Prime sequences. Notes on Number Theory and Discrete Mathematics, 24(3), 77-83, doi: 10.7546/nntdm.2018.24.3.77-83.

Chicago

Leyendekkers, J. V., and A. G. Shannon. “Prime Sequences.” Notes on Number Theory and Discrete Mathematics 24, no. 3 (2018): 77-83, doi: 10.7546/nntdm.2018.24.3.77-83.

MLA

Leyendekkers, J. V., and A. G. Shannon. “Prime Sequences.” Notes on Number Theory and Discrete Mathematics 24.3 (2018): 77-83. Print, doi: 10.7546/nntdm.2018.24.3.77-83.

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