Publication result detail

On Münchhausen numbers

KUREŠ, M.

Original Title

On Münchhausen numbers

English Title

On Münchhausen numbers

Type

WoS Article

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

Münchhausen number, narcissistic number, sums of powers of integers

Key words in English

Münchhausen number, narcissistic number, sums of powers of integers

Authors

KUREŠ, M.

RIV year

2021

Released

16.03.2021

Publisher

Bulgarian Academy of Sciences

Location

Sofia

ISBN

1310-5132

Periodical

Notes on Number Theory and Discrete Mathematics

Volume

27

Number

1

State

Republic of Bulgaria

Pages from

14

Pages to

21

Pages count

8

URL

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

Full text in the Digital Library

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/"
}

Documents

NNTDM-27-1-014-021