On Münchhausen numbers
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Date
Authors
Kureš, Miroslav
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Bulgarian Academy of Sciences
ORCID
0000-0001-6222-389X Altmetrics
Abstract
The remarkable property of the number 3435, namely 3435 = 3^3 + 4^4 + 3^3 + 5^5, was formalized to the notion of Münchhausen numbers. Properties of these numbers are studied and it is showed that although there are only finitely many Münchhausen numbers in a given base b, there are infinitely manyMünchhausen numbers of the length 2 in all bases. A certain reversion in the definition gives the notion of so-called anti-Münchhausen numbers, search for them is computationally more effective
The remarkable property of the number 3435, namely 3435 = 3^3 + 4^4 + 3^3 + 5^5, was formalized to the notion of Münchhausen numbers. Properties of these numbers are studied and it is showed that although there are only finitely many Münchhausen numbers in a given base b, there are infinitely manyMünchhausen numbers of the length 2 in all bases. A certain reversion in the definition gives the notion of so-called anti-Münchhausen numbers, search for them is computationally more effective
The remarkable property of the number 3435, namely 3435 = 3^3 + 4^4 + 3^3 + 5^5, was formalized to the notion of Münchhausen numbers. Properties of these numbers are studied and it is showed that although there are only finitely many Münchhausen numbers in a given base b, there are infinitely manyMünchhausen numbers of the length 2 in all bases. A certain reversion in the definition gives the notion of so-called anti-Münchhausen numbers, search for them is computationally more effective
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Citation
Notes on Number Theory and Discrete Mathematics. 2021, vol. 27, issue 1, p. 14-21.
http://nntdm.net/volume-27-2021/number-1/14-21/
http://nntdm.net/volume-27-2021/number-1/14-21/
Document type
Peer-reviewed
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en