On Münchhausen numbers
| dc.contributor.author | Kureš, Miroslav | cs |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 27 | cs |
| dc.date.accessioned | 2021-03-19T07:55:04Z | |
| dc.date.available | 2021-03-19T07:55:04Z | |
| dc.date.issued | 2021-03-16 | cs |
| dc.description.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 | en |
| dc.format | text | cs |
| dc.format.extent | 14-21 | cs |
| dc.format.mimetype | application/pdf | cs |
| dc.identifier.citation | Notes on Number Theory and Discrete Mathematics. 2021, vol. 27, issue 1, p. 14-21. | en |
| dc.identifier.doi | 10.7546/nntdm.2021.27.1.14-21 | cs |
| dc.identifier.issn | 1310-5132 | cs |
| dc.identifier.other | 170648 | cs |
| dc.identifier.uri | http://hdl.handle.net/11012/196472 | |
| dc.language.iso | en | cs |
| dc.publisher | Bulgarian Academy of Sciences | cs |
| dc.relation.ispartof | Notes on Number Theory and Discrete Mathematics | cs |
| dc.relation.uri | http://nntdm.net/volume-27-2021/number-1/14-21/ | cs |
| dc.rights | (C) Bulgarian Academy of Sciences | cs |
| dc.rights.access | openAccess | cs |
| dc.rights.sherpa | http://www.sherpa.ac.uk/romeo/issn/1310-5132/ | cs |
| dc.subject | Münchhausen number | en |
| dc.subject | narcissistic number | en |
| dc.subject | sums of powers of integers | en |
| dc.title | On Münchhausen numbers | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| sync.item.dbid | VAV-170648 | en |
| sync.item.dbtype | VAV | en |
| sync.item.insts | 2022.01.14 20:54:31 | en |
| sync.item.modts | 2022.01.14 20:15:13 | en |
| thesis.grantor | Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky | cs |
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