Povezanost prostih brojeva s Fermatovim, Mersennovim i Fibonaccijevim brojevima

Crnić, Sara (2016) Povezanost prostih brojeva s Fermatovim, Mersennovim i Fibonaccijevim brojevima. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

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.

Item Type: Thesis (Diploma thesis)
Supervisor: Širola, Boris
Date: 2016
Number of Pages: 38
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 06 Apr 2016 09:59
Last Modified: 06 Apr 2016 09:59
URI: http://digre.pmf.unizg.hr/id/eprint/4669

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