The last two digits of mk

In this thesis the last two digits of m^k, for different cases of the positive integers m and k, in the base of 10 has been determined. Moreover, using fundamental theory from elementary number theory and abstract algebra, results most helpful in finding the last two digits in any base b has been re...

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Bibliographic Details
Main Author: Schill Collberg, Adam
Format: Others
Language:English
Published: Linköpings universitet, Matematiska institutionen 2012
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-78532
Description
Summary:In this thesis the last two digits of m^k, for different cases of the positive integers m and k, in the base of 10 has been determined. Moreover, using fundamental theory from elementary number theory and abstract algebra, results most helpful in finding the last two digits in any base b has been regarded and developed, such as how to reduce large m and k to more manageable numbers.