Publication detail

On Münchhausen numbers

KUREŠ, M.

English title

On Münchhausen numbers

Type

journal article in Web of Science

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

English 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

16.03.2021

Publisher

Bulgarian Academy of Sciences

Location

Sofia

ISSN

1310-5132

Volume

27

Number

1

Pages from–to

14–21

Pages count

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"
}