Abstract:
In this study, we find all Fibonacci and Lucas numbers which can be expressible as a product of two repdigits in the base b. It is shown that the largest Fibonacci and Lucas numbers which can be expressible as a product of two repdigits are F-12 = 144 and L-15 = 1364, respectively. Also, we have the presentation F-12 = 144 = 6 x (3 + 3. 7) = (6)(7) x (33)(7) = 4 x (4 + 4.8) = (4)(8) x (44)(8) and L-15 = 1364 x (22222)(4) = 2 x (2 + 2.4 + 2. 4(2) + 2.4(3) + 2.4(4)).