Fibonacci or Lucas Numbers Which are Products of Two Repdigits in Base b
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 F12= 144 and L15= 1364 , respectively. Also, we have the presentation F12=144=6×(3+3·7)=(6)7×(33)7=4×(4+4·8)=(4)8×(44)8and L15=1364×(22222)4=2×(2+2·4+2·42+2·43+2·44). © 2021, Sociedade Brasileira de Matemática.
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85100710184&doi=10.1007%2fs00574-021-00243-y&partnerID=40&md5=08e87faee5550b6dc772da075b114060http://acikerisim.bingol.edu.tr/handle/20.500.12898/3804
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