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Balancing and Lucas-balancing numbers which are concatenation of three repdigits

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Abstract

In this paper, we show that 204 and 1189 are the only balancing numbers which are concatenation of three repdigits and that 3363 is the only Lucas-balancing number of this form.

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Acknowledgements

The authors would like to express their gratitude to the reviewers for the careful reading of this paper and the remarks which improved the work. J. J. B. was supported in part by Project VRI ID 5385 (Universidad del Cauca).

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Authors and Affiliations

  1. Centre for Data Science, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar, Odisha, 751030, India

    S. G. Rayaguru

  2. Departamento de Matemáticas, Universidad del Cauca, Calle 5 No. 4-70, Popayán, Colombia

    Jhon J. Bravo

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  1. S. G. Rayaguru
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Correspondence to S. G. Rayaguru.

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Rayaguru, S.G., Bravo, J.J. Balancing and Lucas-balancing numbers which are concatenation of three repdigits. Bol. Soc. Mat. Mex. 29, 57 (2023). https://doi.org/10.1007/s40590-023-00531-1

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