Repdigits as product of two pell or pell-lucas numbers

Abstract

Let Pn,Qn,Bn, and Cn denote, respectively Pell, Pell-Lucas, balancing, and Lucas-balancing numbers. In this study, we show that if PmPn is a repdigit, then PmPn ε {0, 1, 2, 4, 5} and that if QmQn is a repdigit, then QmQn = 4. Moreover, we show that if BmBn is a repdigit, then BmBn ε {0, 1, 6} and that if CmCn is a repdigit, then CmCn ε {1, 3, 9, 99}. © 2019, Univerzita Komenskeho. All rights reserved.