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master's thesis
Prosti brojevi
Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. urn:nbn:hr:126:334279
Pružinac, Patricia
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Pružinac, P. (2024). Prosti brojevi (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:334279

Pružinac, Patricia. "Prosti brojevi." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:334279

Pružinac, Patricia. "Prosti brojevi." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:334279

Pružinac, P. (2024). 'Prosti brojevi', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:334279

Pružinac P. Prosti brojevi [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:334279

P. Pružinac, "Prosti brojevi", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:334279

Metadata
TitleProsti brojevi
Title (english)Prime Numbers
AuthorPatricia Pružinac
MentorMirela Jukić Bokun (mentor)
Committee memberIvan Soldo (predsjednik povjerenstva)
Committee memberMirela Jukić Bokun (član povjerenstva)
Committee memberDragana Jankov Maširević (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2024-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
Tema ovoga rada prosti su brojevi. Iako su u početku proučavani isključivo iz teorijske perspektive, pojava digitalnih računala donijela je potrebu za zaštitom podataka i sigurnošću u svakodnevnoj komunikaciji, gdje su prosti brojevi pronašli svoju praktičnu primjenu. U ovome radu prosti se brojevi gledaju iz oba kuta - teorijskoga i praktičnoga. Prvi dio pokriva definiciju prostih brojeva, njihova osnovna svojstva te proste brojeve posebnoga oblika, dok je drugi dio usmjeren na testove prostosti i primjenu prostih brojeva u kriptografiji. Cijeli rad zaokružen je poglavljem o još uvijek nedokazanim slutnjama u teoriji brojeva, a koji su vezane uz proste brojeve.
Abstract (english)
The topic of this paper is prime numbers. Although initially studied purely from a theoretical perspective, the advent of digital computers brought about a need for data protection and security in daily communications, where prime numbers found their practical application. This paper examines prime numbers from both theoretical and practical angles. The first part covers the definition, basic properties and special forms of prime numbers, while the second part focuses on primality tests and application of prime numbers in cryptography. The paper concludes with a discussion on unproven hypotheses in number theory related to prime numbers.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:334279
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-10-01 07:39:04