Results 21 to 30 of about 109 (79)
On the Euler function of repdigits [PDF]
Czechoslovak Mathematical Journal, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Integers, 2016 A \emph{repdigit} is a natural number greater than 10 which has all of its base-10 digits the same. In this paper we find all examples of two repdigits adding to a square. The proofs lead to interesting questions about consecutive quadratic residues and non-residues, and provide an elementary application of elliptic curves.
Bart Goddard, Jeremy Rouse
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On Diophantine Equations Related to Narayana’s Cows Sequence and Double Factorials or Repdigits
, 2022 In this paper, we determine all the Narayana’s cows numbers that are factorials or double factorials. We also show that 88 is the only repdigit (i.e., a class of numbers that has reflectional symmetry across a vertical axis) that can be written as ...
Peng Yang, Tianxin Cai, Yanjiao Ji
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Repdigits in k-Lucas sequences
Proceedings - Mathematical Sciences, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bravo, Jhon J., Luca, Florian
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On Repdigits as Sums of Fibonacci and Tribonacci Numbers [PDF]
Symmetry, 2020 In this paper, we use Baker’s theory for nonzero linear forms in logarithms of algebraic numbers and a Baker-Davenport reduction procedure to find all repdigits (i.e., numbers with only one distinct digit in its decimal expansion, thus they can be seen as the easiest case of palindromic numbers, which are a ”symmetrical” type of numbers) that can be ...
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Perrin numbers and distinct repdigits [PDF]
, 2020 We determine all Perrin numbers that are concatenations of two repdigits.
Mahadi Ddamulira, Toboka Chalebgwa
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Repdigits as Product of Fibonacci and Tribonacci Numbers [PDF]
Mathematics, 2020 In this paper, we study the problem of the explicit intersection of two sequences. More specifically, we find all repdigits (i.e., numbers with only one repeated digit in its decimal expansion) which can be written as the product of a Fibonacci by a Tribonacci number (both with the same indexes).
Dušan Bednařík, Eva Trojovská
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A Diophantine equation in $k$-Fibonacci numbers and repdigits [PDF]
Colloquium Mathematicum, 2018 Summary: The \(k\)-generalized Fibonacci sequence \(\{F_{n}^{(k)}\}_{n}\) starts with the \(k\) values \(0,\dots ,0,1\) and each term afterwards is the sum of the \(k\) preceding terms. We study which members of this sequence are sums of two repdigts, extending a result of \textit{S. Díaz Alvarado} and \textit{F. Luca} [Aportaciones Mat., Investig. 20,
Bravo, J. +2 more
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A repdigit számok néhány tulajdonsága
, 2023 A dolgozatban az úgynevezett repdigit számok néhány tulajdonságát vizsgáltuk meg. B-repdigit számoknak nevezzük azokat az egész számokat, amelyeknek minden számjegye megegyezik a B számrendszerben.
Csillag, Balázs
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Narayana numbers as products of three repdigits in base g
Acta et Commentationes Universitatis Tartuensis de Mathematica, 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.
Pagdame Tiebekabe +2 more
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