Fibonacci Numbers with a Prescribed Block of Digits

dc.contributor.author	Trojovský, Pavel
dc.date.accessioned	2025-12-05T09:04:10Z
dc.date.available	2025-12-05T09:04:10Z
dc.date.issued	2020
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"
dc.identifier.doi	10.3390/math8040639
dc.identifier.issn	2227-7390
dc.identifier.obd	43876459
dc.identifier.scopus	2-s2.0-85084481191
dc.identifier.uri	http://hdl.handle.net/20.500.12603/1021
dc.identifier.wos	000531824100179
dc.language.iso	eng
dc.peerreviewed	yes
dc.publicationstatus	postprint
dc.publisher	MDPI-Molecular diversity preservation international
dc.relation.ispartof	Mathematics, volume 8, issue: 4	eng
dc.relation.publisherversion	https://www.mdpi.com/2227-7390/8/4/639
dc.rights.access	Open Access
dc.rights.license	CC BY
dc.source.url	https://www.mdpi.com/2227-7390/8/4/639
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

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