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master's thesis
Primitivni korijeni
2023. urn:nbn:hr:126:755276
Rezo, Ana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

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Rezo, A. (2023). Primitivni korijeni (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:755276

Rezo, Ana. "Primitivni korijeni." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:755276

Rezo, Ana. "Primitivni korijeni." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:755276

Rezo, A. (2023). 'Primitivni korijeni', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:755276

Rezo A. Primitivni korijeni [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2023 [cited 2024 November 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:755276

A. Rezo, "Primitivni korijeni", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:755276

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Metadata
TitlePrimitivni korijeni
Title (english)Primitive Roots
AuthorAna Rezo
MentorIvan Matić (mentor)
Committee memberTomislav Marošević (predsjednik povjerenstva)
Committee memberIvan Matić (član povjerenstva)
Committee memberIvan Soldo (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2023-06-02, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovom radu definirali smo pojam primitivnih korijena te naveli važne tvrdnje vezane za primitivne korijene. Naveli smo neke od najvažnijih teorema teorije brojeva kao što su Eulerov teorem, Mali Fermatov teorem, Lagrangeov teorem, Lucasov test prostosti. Pokazali smo kako svaki prost broj ima primitivni korijen. Upoznali smo se s nekim primjenama primitivnih korijena poput indekasa i testova prostosti. Upoznali smo se s univerzalnim eksponentima i Carmichaelovim brojevima
Abstract (english)
In this paper, we defined the concept of primitive roots and stated important claims related to primitive roots. We have listed some of the most important theorems of number theory such as Euler’s theorem, Little Fermat’s theorem, Lagrange’s theorem, Lucas’ primality test. We have shown that every prime number has a primitive root. We were introduced to some applications of primitive roots such as indices and primality tests. We were introduced to universal exponents and Carmichael numbers.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:755276
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2023-06-02 10:56:12