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
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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., & Sandor, 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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