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dc.contributor.authorKorniłowicz, Artur-
dc.date.accessioned2023-02-16T08:11:29Z-
dc.date.available2023-02-16T08:11:29Z-
dc.date.issued2022-
dc.identifier.citationFormalized Mathematics, Volume 30, Issue 3, Pages 223-228pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/14676-
dc.description.abstractIn this paper problems 17, 18, 26, 27, 28, and 98 from [9] are formalized, using the Mizar formalism [8], [2], [3], [6].pl
dc.language.isoenpl
dc.publisherDeGruyter Openpl
dc.rightsAttribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)pl
dc.rights.urihttps://creativecommons.org/licenses/by-sa/3.0/pl
dc.subjectnumber theorypl
dc.subjectdivisibilitypl
dc.subjectprimespl
dc.titleElementary Number Theory Problems. Part IVpl
dc.typeArticlepl
dc.rights.holder© 2022 The Author(s)pl
dc.rights.holderCC BY-SA 3.0 licensepl
dc.identifier.doi10.2478/forma-2022-0017-
dc.description.AffiliationInstitute of Computer Science, University of Białystok, Polandpl
dc.description.referencesKenichi Arai and Hiroyuki Okazaki. Properties of primes and multiplicative group of afield. Formalized Mathematics, 17(2):151–155, 2009. doi:10.2478/v10037-009-0017-7.pl
dc.description.referencesGrzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art andbeyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-8_17.pl
dc.description.referencesGrzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32,2018. doi:10.1007/s10817-017-9440-6.pl
dc.description.referencesYoshinori Fujisawa and Yasushi Fuwa. Definitions of radix-2ksigned-digit number and it sadder algorithm. Formalized Mathematics, 9(1):71–75, 2001.pl
dc.description.referencesYoshinori Fujisawa, Yasushi Fuwa, and Hidetaka Shimizu. Public-key cryptography and Pepin’s test for the primality of Fermat numbers. Formalized Mathematics, 7(2):317–321,1998.pl
dc.description.referencesArtur Korniłowicz. Flexary connectives in Mizar. Computer Languages, Systems & Structures, 44:238–250, December 2015. doi:10.1016/j.cl.2015.07.002.pl
dc.description.referencesXiquan Liang, Li Yan, and Junjie Zhao. Linear congruence relation and complete residuesystems. Formalized Mathematics, 15(4):181–187, 2007. doi:10.2478/v10037-007-0022-7.pl
dc.description.referencesAdam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzmüller and Bruce R. Miller, editors, Intelligent Computer Mathematics – 13th International Conference, CICM 2020, Bertinoro, Italy, July 26–31, 2020, Proceedings, volume 12236 of Lecture Notes in Computer Science, pages 303–308. Springer,2020. doi:10.1007/978-3-030-53518-622.pl
dc.description.referencesWacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970.pl
dc.identifier.eissn1898-9934-
dc.description.volume30pl
dc.description.issue3pl
dc.description.firstpage223pl
dc.description.lastpage228pl
dc.identifier.citation2Formalized Mathematicspl
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Formalized Mathematics, 2022, Volume 30, Issue 3

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