Detail publikace
On Münchhausen numbers
KUREŠ, M.
Anglický název
On Münchhausen numbers
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
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
Anglický abstrakt
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
Klíčová slova anglicky
Münchhausen number, narcissistic number, sums of powers of integers
Vydáno
16.03.2021
Nakladatel
Bulgarian Academy of Sciences
Místo
Sofia
ISSN
1310-5132
Ročník
27
Číslo
1
Strany od–do
14–21
Počet stran
8
BIBTEX
@article{BUT170648,
author="Miroslav {Kureš},
title="On Münchhausen numbers",
year="2021",
volume="27",
number="1",
month="March",
pages="14--21",
publisher="Bulgarian Academy of Sciences",
address="Sofia",
issn="1310-5132"
}