Fibonacci Numbers with a Prescribed Block of Digits

dc.rights.license	CC BY	eng
dc.contributor.author	Trojovský, Pavel	cze
dc.date.accessioned	2025-12-05T09:04:10Z
dc.date.available	2025-12-05T09:04:10Z
dc.date.issued	2020	eng
dc.identifier.issn	2227-7390	eng
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1021
dc.description.abstract	In this paper, we prove that F_{22} = 17711 is the largest Fibonacci number whose decimal expansion is of the form ab...bc...c. The proof uses lower bounds for linear forms in three logarithms of algebraic numbers and some tools from Diophantine approximation.	eng
dc.format	p. "Article Number: 639"	eng
dc.language.iso	eng	eng
dc.publisher	MDPI-Molecular diversity preservation international	eng
dc.relation.ispartof	Mathematics, volume 8, issue: 4	eng
dc.subject	Fibonacci numbers	eng
dc.subject	digits	eng
dc.subject	linear forms in logarithms	eng
dc.subject	Baker-Davenport	eng
dc.title	Fibonacci Numbers with a Prescribed Block of Digits	eng
dc.type	article	eng
dc.identifier.obd	43876459	eng
dc.identifier.doi	10.3390/math8040639	eng
dc.publicationstatus	postprint	eng
dc.peerreviewed	yes	eng
dc.source.url	https://www.mdpi.com/2227-7390/8/4/639	cze
dc.relation.publisherversion	https://www.mdpi.com/2227-7390/8/4/639	eng
dc.rights.access	Open Access	eng