Publication detail

On Münchhausen numbers

KUREŠ, M.

English title

On Münchhausen numbers

Type

WoS Article

Language

en

Original 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

Keywords in English

Münchhausen number, narcissistic number, sums of powers of integers

Released

2021-03-16

Publisher

Bulgarian Academy of Sciences

Location

Sofia

ISSN

1310-5132

Journal

Notes on Number Theory and Discrete Mathematics

Volume

27

Number

1

Pages from–to

14–21

Pages count

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/"
}