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Mathematica Pannonica
Article . 2025 . Peer-reviewed
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Lucas Numbers that are Palindromic Concatenations of Two Distinct Repdigits

Lucas numbers that are palindromic concatenations of two distinct repdigits
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 25 Jun 2025Publisher:Akademiai Kiado Zrt.Journal:Mathematica Pannonica, volume 31_NS5, pages 22-33 (issn: 0865-2090, eissn: 2786-0752, Copyright policy )
Authors: Herbert Batte;

doi: 10.1556/314.2025.00003

arXiv: 2401.05361

Lucas Numbers that are Palindromic Concatenations of Two Distinct Repdigits

Abstract

Let {๐ฟ๐‘›}โ‰ฅ0 be the sequence of Lucas numbers. In this paper, we determine all Lucas numbers that are palindromic concatenations of two distinct repdigits.

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Keywords

repdigits, Fibonacci and Lucas numbers and polynomials and generalizations, Baker-Davenport reduction method, linear forms in logarithms, Exponential Diophantine equations, Lucas numbers, Mathematics - General Mathematics, 11B39, 11D61, 11J86, Linear forms in logarithms; Baker's method

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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