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master's thesis
Povezanost prostih brojeva s Fermatovim, Mersenneovim i Fibonaccijevim brojevima
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:481741
Crnić, Sara
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Crnić, S. (2016). Povezanost prostih brojeva s Fermatovim, Mersenneovim i Fibonaccijevim brojevima (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:481741

Crnić, Sara. "Povezanost prostih brojeva s Fermatovim, Mersenneovim i Fibonaccijevim brojevima." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:481741

Crnić, Sara. "Povezanost prostih brojeva s Fermatovim, Mersenneovim i Fibonaccijevim brojevima." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:481741

Crnić, S. (2016). 'Povezanost prostih brojeva s Fermatovim, Mersenneovim i Fibonaccijevim brojevima', Master's thesis, University of Zagreb, Faculty of Science, accessed 27 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:481741

Crnić S. Povezanost prostih brojeva s Fermatovim, Mersenneovim i Fibonaccijevim brojevima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 November 27] Available at: https://urn.nsk.hr/urn:nbn:hr:217:481741

S. Crnić, "Povezanost prostih brojeva s Fermatovim, Mersenneovim i Fibonaccijevim brojevima", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:481741

Metadata
TitlePovezanost prostih brojeva s Fermatovim, Mersenneovim i Fibonaccijevim brojevima
AuthorSara Crnić
MentorBoris Širola (mentor)
Committee memberBoris Širola (predsjednik povjerenstva)
Committee memberDragutin Svrtan (član povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
Committee memberLjiljana Arambašić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-02-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu govorimo o skupu cijelih brojeva, točnije rečeno o njegovim prostim elementima. Polazeći od definicije i elementarnih pojmova teorije brojeva, pokazujemo neke od osnovnih rezultata, te karakterizacija tog skupa. Nadalje, navodimo razne varijacije dokaza beskonačnosti skupa prostih brojeva, gdje pritom koristimo neke od zanimljivih analitičkih pristupa. Na kraju proučavamo vezu skupa prostih brojeva s nizom Fermatovih, Mersennovih i Fibonaccijevih brojeva, te pomoću tih nizova i njihovih svojstava, ponovno pokazujemo tvrdnju da je skup prostih brojeva beskonačan.
Abstract (english)
In this diploma thesis we consider the set of integers, or better said its prime elements. Starting from definitions and basic concepts of number theory, we are showing some of the main results, and characterizations of this set. Furthermore, we consider variations of proof referred to infinity of the set of prime numbers, where while we are using some of interesting analytical approaches. Finally, we are exploring the relation of the set of prime numbers with a sequences of Fermat, Mersenne and Fibonacci numbers, and using these sequences and their properties, again showing the claim that the set of prime numbers is infinite.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:481741
Study programmeTitle: Finance and Business 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 on2019-01-07 11:37:47