Results 21 to 30 of about 111 (68)
Fibonacci numbers which are concatenations of two repdigits
, 2021 We show that the only Fibonacci numbers that are concatenations of two repdigits are 13, 21, 34, 55, 89, 144, 233 ...
Alahmadi, Adel +7 more
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Perrin numbers expressible as sums of two base b repdigits
, 2021 In this paper we study Perrin numbers that can be expressed as sums of two base b repdigits. This can be done using linear forms in logarithms of algebraic numbers and a version of the Baker–Davenport reduction ...
Bhoi, Khisan, Ray, Prasanta Kumar
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On repdigits as product of $k$-Fibonacci and $k$-Lucas numbers [PDF]
Mathematica BohemicaFor an integer $k\geq2$, let $(F_n^{(k)})_{n\geq-(k-2)}$, $(L_n^{(k)})_{n \geq-(k-2)}$ be $k$-Fibonacci and $k$-Lucas sequences, respectively. For these sequences the first $k$ terms are $0,\ldots,0,1$ and $0,\ldots,0,2,1$, respectively, and each term ...
Safia Seffah +2 more
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Narayana numbers as sums of two base b repdigits
, 2022 In this study, we find all Narayana numbers which are expressible as sums of two base b repdigits. The proof of the main result uses lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker–Davenport reduction ...
Patel, Bijan Kumar +2 more
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Narayana numbers as products of three repdigits in base g
, 2023 In this paper, we show that there are only finitely many Narayana's numbers which can be written as a product of three repdigits in base g with g >= 2. Moreover, for 2 <= g <= 10, we determine all these numbers.
Tiebekabe, Pagdame +2 more
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, 2013 Here, we give an algorithm to detect all perfect repdigits in any base g>1. As an application, we find all such examples when g∈ [2, … ,333], extending a calculation from [2].
Broughan, Kevin A. +2 more
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The supplementary materials for two-term products of Fibonacci and Lucas numbers equaling repdigits.
, 2023 This data sets file (.xlsx) is to supplementary support for the paper which shows that two-term products of Fibonacci number and Lucas number became repdigits. These materials are results computing the upper bounds of Fibonacci and Lucas numbers on Baker'
Harunori Nakayama (10708851)
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Repdigits as Sums of Four Tribonacci Numbers
, 2022 In this paper, we show that 66666 is the largest repdigit expressible as the sum of four tribonacci numbers. We used Binet’s formula, Baker’s theory, and a reduction method during the proving procedure. We also used the periodic properties of
Yuetong Zhou +3 more
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Factorials as Repdigits in Base B
, 2022 Let b is an element of {2, 3, ..., 9}. In this paper, we show that the solutions of the equation (x)(b) = m!
Irmak, Nurettin, Togbe, Alain
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Narayana numbers as product of three repdigits in base $g$
, 2023 In this paper, we show that there are only finitely many Narayana's numbers which can be written as product of three repdigits in base $g$ with $g \geq 2$.
Tiebekabe, Pagdame +2 more
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