Results 51 to 60 of about 109 (79)
Repdigit sokszögszámok, repdigit középpontos sokszögszámok
Összefoglaló: A matematikában repdigit számoknak nevezzük azokat az egész számokat, amelyeknek minden számjegye megegyezik. A tízes számrendszerben erre példa a 222, 55555, stb.
Varga, Péter
exaly +4 more sources
Fibonacci and Lucas numbers as products of three repdgits in base g
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.
Kouessi Norbert Adedji +2 more
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Associated Pell numbers which are repdigits or concatenation of two repdigits
Boletín de la Sociedad Matemática Mexicana, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sai Gopal Rayaguru +2 more
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Finiteness results for Diophantine triples with repdigit values [PDF]
Attila Bérczes, Florian Luca
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Integers, 2012
Abstract.Here we show that the only aliquot cycle consisting only of rep-digits in base 10 is the cycle consisting of the perfect number 6.
Florian Luca, Herman te Riele
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Abstract.Here we show that the only aliquot cycle consisting only of rep-digits in base 10 is the cycle consisting of the perfect number 6.
Florian Luca, Herman te Riele
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Lithuanian Mathematical Journal, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jhon J Bravo +2 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jhon J Bravo +2 more
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Tribonacci numbers with two blocks of repdigits
Mathematica Slovaca, 2021AbstractThe Tribonacci sequence is a generalization of the Fibonacci sequence which starts with 0,0,1 and each term afterwards is the sum of the three preceding terms. Here, we show that the only Tribonacci numbers that are concatenations of two repdigits are 13,24,44,81.
Eric F Bravo, Jhon J Bravo
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Odd Repdigits to Small Bases Are Not Perfect
Integers, 2012Abstract.We demonstrate, by considering each base in the range 2 through 9 ...
Kevin A. Broughan, Qizhi Zhou
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An Explicit Bound for Aliquot Cycles of Repdigits
Integers, 2012Abstract.We find an explicit bound, in terms ...
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Products of three Fibonacci numbers that are repdigits
Advanced Studies: Euro-Tbilisi Mathematical Journal, 2023The authors prove that the largest instance of a product of three Fibonacci numbers being a repdigit is \(55\) (this is a product of three Fibonacci numbers, with two of such factors being \(1\)). The proof uses an approach via Baker's method to get an astronomical bound on the length (number of digits) of the repdigit in question (in this case \(3 ...
Alan, Murat, Alan, Kadriye Simsek
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