Jezik: | Slovenski jezik |
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Leto izida: | 2012 |
Tipologija: | 2.11 - Diplomsko delo |
Organizacija: | UM FNM - Fakulteta za naravoslovje in matematiko |
Založnik: | [T. Sraka] |
UDK: | 511(043.2) |
COBISS: | 19849992 |
Št. ogledov: | 1662 |
Št. prenosov: | 190 |
Ocena: | 0 (0 glasov) |
Metapodatki: |
Sekundarni jezik: | Angleški jezik |
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Sekundarni naslov: | DIVISIBILITY OF FERMAT NUMBERS |
Sekundarni povzetek: | In the introduction this thesis presents the fundamentals of elementary number theory which are applied troughout the thesis. Next, we consider Fermat numbers by presenting some of their basic properties. Pepin's test to determine the primality of a Fermat number is presented. It is followed by a discussion on divisibility of Fermat numbers. The proof of Euler's and Lucas's theorem on divisibility of Fermat numbers is examined. It introduces the connection between Fermat numbers and Wieferich prime numbers. At the end we present a list of composite Fermat numbers for which the complete factorization is known. |
Sekundarne ključne besede: | Prime;congruence;Fermat’s little theorem;ord number;primitive root;kth power residue;Fermat number;Wieferich prime .; |
URN: | URN:SI:UM: |
Vrsta dela (COBISS): | Diplomsko delo |
Komentar na gradivo: | Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo |
Strani: | 50 f. |
ID: | 8723117 |