Detail publikace

On Münchhausen numbers

KUREŠ, M.

Originální název

On Münchhausen numbers

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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

Münchhausen number, narcissistic number, sums of powers of integers

Autoři

KUREŠ, M.

Vydáno

16. 3. 2021

Nakladatel

Bulgarian Academy of Sciences

Místo

Sofia

ISSN

1310-5132

Periodikum

Notes on Number Theory and Discrete Mathematics

Ročník

27

Číslo

1

Stát

Bulharská republika

Strany od

14

Strany do

21

Strany počet

8

URL

http://nntdm.net/volume-27-2021/number-1/14-21/

Plný text v Digitální knihovně

http://hdl.handle.net/11012/196472

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/"
}