Repdigits as absolute value of difference between Lucas and Fibonacci numbers
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Abstract
In this paper, we investigate the Diophantine equation |Ln₁ − Fn₂| = d(10m − 1) / 9, where (Ln)n ≥ 0 and (Fn)n ≥ 0 are respectively Lucas and Fibonacci sequences, d ∈ {1, ..., 9} and m ≥ 1. All solutions of the aforementioned equation are provided.
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Tougma, C. W.-W., & Nikiéma, S. (2025). Repdigits as absolute value of difference between Lucas and Fibonacci numbers. Gulf Journal of Mathematics, 19(2), 1-19. https://doi.org/10.56947/gjom.v19i2.2680
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