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arXiv · 2405.04801

Repdigits as difference of two balancing or Lucas-balancing numbers

Monalisa Mohapatra·Pritam Kumar Bhoi·Gopal Krishna Panda
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Abstract

Repdigits are natural numbers formed by the repetition of a single digit. In this paper, we study the problem of writing repdigits as the difference of two balancing or Lucas-balancing numbers. The method of proof involves the application of Baker's theory for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure. Computations are done with the help of a simple computer program in {\it Mathematica}.

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Monalisa Mohapatra, Pritam Kumar Bhoi, Gopal Krishna Panda. 2024-05-08. Repdigits as difference of two balancing or Lucas-balancing numbers. https://arxiv.org/abs/2405.04801

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