Detail publikace
On Münchhausen numbers
KUREŠ, M.
Anglický název
On Münchhausen numbers
Typ
Článek WoS
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
Klíčová slova anglicky
Münchhausen number, narcissistic number, sums of powers of integers
Vydáno
2021-03-16
Nakladatel
Bulgarian Academy of Sciences
Místo
Sofia
ISSN
1310-5132
Časopis
Notes on Number Theory and Discrete Mathematics
Ročník
27
Číslo
1
Strany od–do
14–21
Počet stran
8
BIBTEX
@article{BUT170648,
author="Miroslav {Kureš}",
title="On Münchhausen numbers",
journal="Notes on Number Theory and Discrete Mathematics",
year="2021",
volume="27",
number="1",
pages="14--21",
doi="10.7546/nntdm.2021.27.1.14-21",
issn="1310-5132",
url="http://nntdm.net/volume-27-2021/number-1/14-21/"
}