Results 31 to 40 of about 111 (68)
On the Euler function of repdigits [PDF]
, 2008 summary:For a positive integer $n$ we write $\phi (n)$ for the Euler function of $n$. In this note, we show that if $b>1$ is a fixed positive integer, then the equation \[ \phi \Big (x\frac{b^n-1}{b-1}\Big )=y\frac{b^m-1}{b-1},\qquad {\text{where}} \ x ...
Luca, Florian
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On repdigits as product of consecutive Lucas numbers [PDF]
, 2018 Let (L-n)(n >= 0 )be the Lucas sequence. D. Marques and A. Togbe [7] showed that if F-n . . . Fn+k-1 is a repdigit with at least two digits, then (k, n) = (1, 10), where (F-n)(>= 0) is the Fibonacci sequence. In this paper, we solve the equation L-n . . .
Irmak, Nurettin, Togbe, Alain
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Repdigits as sums of three Fibonacci numbers
, 2012 In this paper, we find all base 10 repdigits which are sums of three Fibonacci ...
Luca, Florian, Florian Luca
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Two Problems on Narayana Numbers And Repeated Digit Numbers
, 2023 In this paper, we find all repdigits which can be expressed as the product of a Narayana, and a product of two repdigits is ...
Abou-Elela, G., Anwar, M., Elsonbaty, A.
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Fibonacci and Lucas numbers as products of three repdgits in base g
, 2023 Recall that repdigit in base g is a positive integer that has only one digit in its base g expansion, i.e. a number of the form a(g^m-1)/(g−1), for some positive integers m ≥ 1, g ≥ 2 and 1 ≤ a ≤ g − 1.
Adedji, Kouessi Norbert +2 more
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Repdigits as sums of three balancing numbers
, 2019 International audienceLet \{Bn\}_{n\ge 0} be the sequence of Balancing numbers defined by $B_0 = 0, ~B_1 = 1$, and $B_{n+2} = 6B_{n+1} − B_n$ for all $n \ge 0$.
Ddamulira, Mahadi
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Diophantine Equations Related to Linear Recurrence Sequences
, 2021 The aim of this dissertation is to investigate the solutions of some Diophantine equations connected to linear recurrence sequences. We firstly study the integer solutions of Diophantine equations related to reciprocals and repdigits with linear ...
Hashim, Hayder Raheem
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Tribonacci numbers that are concatenations of two repdigits. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2020 Ddamulira M.
europepmc +1 more source
On Sierpiński and Riesel Repdigits and Repintegers
For positive integers b≥2 ...
Pontes, Kaelyn +5 more
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Patterns obtained from digit and iterative digit sums of Palindromic, Repdigit and Repunit numbers, its variants and subsets [PDF]
, 2016 The digit and iterative digit sums of Palindromic numbers, their primes and squares, repdigit, repunit, their squares and cubes produced different patterns and sequences.
Opanuga, Abiodun A. +3 more
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