Lucas Numbers Which Are Concatenations of Two Repdigits

Yunyun Qu and Jiwen Zeng
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Yunyun Qu: School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
Jiwen Zeng: School of Mathematical Sciences, Xiamen University, Xiamen 361005, China

Mathematics, 2020, vol. 8, issue 8, 1-8

Abstract: In this paper, we find all Lucas numbers written in the form c ? c d ? d ¯ , where c ? c d ? d ¯ is the concatenation of two repdigits in base 10 with c , d ∈ { 0 , 1 , ? , 9 } , c ≠ d and c > 0 .

Keywords: Lucas numbers; concatenations of two repdigits; logarithmic height; continued fraction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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