On a Diophantine equation arising in the history of mathematics

József Sándor and Krassimir Atanassov
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 1, Pages 70—75
DOI: 10.7546/nntdm.2021.27.1.70-75
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Authors and affiliations

József Sándor
Department of Mathematics, Babes-Bolyai University
Str. Kog alniceanu 1, 400084 Cluj-Napoca, Romania

Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling,
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria


In the present paper, we offer the complete solution to a Diophantine equation, considered by S. Naranan [2]. For the history of the problem, see also L. E. Dickson [1].


  • Diophantine equations
  • History of mathematics

2010 Mathematics Subject Classification

  • 01A05
  • 01A32
  • 11D99


  1. Dickson, L. E. (1952). History of the Theory of Numbers, Vol. II, Chelsea, New York.
  2. Naranan, S. (1973). An “Elephantine” equation. Mathematics Magazine, 46(5), 276–278.

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Cite this paper

Sándor, J. & Atanassov, K. (2021). On a Diophantine equation arising in the history of mathematics. Notes on Number Theory and Discrete Mathematics, 27(1), 70-75, doi: 10.7546/nntdm.2021.27.1.70-75.

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