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The last two digits of mk
Linköping University, Department of Mathematics. Linköping University, The Institute of Technology.
2012 (English)Independent thesis Basic level (degree of Bachelor), 10,5 credits / 16 HE creditsStudent thesisAlternative title
De sista två siffrorna i mk (Swedish)
Abstract [en]

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.

Place, publisher, year, edition, pages
2012. , 39 p.
Keyword [en]
Last digits, Number theory, Modular arithmetic
National Category
Discrete Mathematics Algebra and Logic
Identifiers
URN: urn:nbn:se:liu:diva-78532ISRN: LiTH-MAT-EX--2012/08--SEOAI: oai:DiVA.org:liu-78532DiVA: diva2:533902
External cooperation
Division of Mathematical Sciences, Nanyang Technological University
Subject / course
Mathematics
Presentation
2012-06-04, Kompakta rummet, Linköping University, Linköping, 11:15 (Swedish)
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2012-06-15 Created: 2012-06-14 Last updated: 2012-06-15Bibliographically approved

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fulltext(336 kB)425 downloads
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File name FULLTEXT01.pdfFile size 336 kBChecksum SHA-512
5473256210436a4738e1e628a9b6438b5a012c9f9be795943d8d2fde47fb6940a9a77e4cd299af2ef55bde315e8068f318ce516269f748e5f75ac2aa0be5ea1b
Type fulltextMimetype application/pdf

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf