Balancing numbers which are concatenations of three repdigits

Authors

https://doi.org/10.15330/cmp.16.1.148-157

Keywords:

balancing number, concatenation, repdigit, Diophantine equation, linear form in logarithms
Published online: 2024-06-06

Abstract

In this study, it is shown that the only balancing numbers which are concatenations of three repdigits are 204204 and 1189. The proof depends on lower bounds for linear forms and some tools from Diophantine approximation.

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How to Cite
(1)
Erduvan, F.; Keskin, R. Balancing Numbers Which Are Concatenations of Three Repdigits. Carpathian Math. Publ. 2024, 16, 148-157.