Abstract:
In this study, we show that if 2 < m < n and Fm Fn represents a repdigit, then (m, n) belongs to the set {(2, 2), (2, 3), (3, 3), (2, 4), (3, 4), (4, 4), (2, 5), (2, 6), (2, 10)}. Also, we show that if 0 < m < n and Lm L represents a repdigit, then (m, n) belongs to the set (0, 0), (0, 1), (1, 1), (0, 2), (1, 2). (2, 2), (0, 3), (1, 3), (1, 4). (1, 5), (2,5), (3, 5), (4,5)}.