Short remark on a special numerical sequence

Krassimir T. Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 23, 2017, Number 4, Pages 14–17
Full paper (PDF, 148 Kb)

Details

Authors and affiliations

Krassimir T. Atanassov
Department of Bioinformatics and Mathematical Modelling
IBPhBME, Bulgarian Academy of Sciences
Acad. G. Bonchev Str. Bl. 105, Sofia-1113, Bulgaria
and
Intelligent Systems Laboratory
Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria

Abstract

The sequence G = {2233pnpn}n ≥ 1 is discussed and some of its properties are studied.

Keywords

  • Arithmetic function
  • Prime number
  • Sequence

AMS Classification

  • 11A25

References

  1. Atanassov, K. (1987) New integer functions, related to “φ” and “σ” functions, Bulletin of Number Theory and Related Topics, XI(1), 3–26.
  2. Atanassov, K. (1996) Irrational factor: definition, properties and problems. Notes on Number Theory and Discrete Mathematics, 2(3), 42–44.
  3. Atanassov, K. (2002) Converse factor: definition, properties and problems. Notes on Number Theory and Discrete Mathematics, 8(1), 37–38.
  4. Atanassov, K. (2002) Restrictive factor: definition, properties and problems. Notes on Number Theory and Discrete Mathematics, 8(4), 117–119.
  5. Mitrinovic, D., & Sándor, J. (1996) Handbook of Number Theory, Kluwer Academic Publishers.
  6. Nagell, T. (1950) Introduction to Number Theory, John Wiley & Sons, New York.
  7. Panaitopol, L. (2004) Properties of the Atanassov functions. Advanced Studies on Contemporary Mathematics, 8(1), 55–59.

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Cite this paper

Atanassov, K. T. (2017). Short Remark on a Special Numerical Sequence. Notes on Number Theory and Discrete Mathematics, 23(4), 14-17.

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