Balancing and Lucas-balancing numbers which are concatenation of three repdigits

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作者
S. G. Rayaguru
Jhon J. Bravo
机构
[1] Siksha ‘O’ Anusandhan Deemed to be University,Centre for Data Science
[2] Universidad del Cauca,Departamento de Matemáticas
关键词
Balancing number; Lucas-balancing number; Repdigit; Linear forms in logarithms; 11J86; 11B39; 11B50; 11D72;
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摘要
In this paper, we show that 204 and 1189 are the only balancing numbers which are concatenation of three repdigits and that 3363 is the only Lucas-balancing number of this form.
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