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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
URN: urn:nbn:se:liu:diva-78532ISRN: LiTH-MAT-EX--2012/08--SEOAI: diva2:533902
External cooperation
Division of Mathematical Sciences, Nanyang Technological University
Subject / course
2012-06-04, Kompakta rummet, Linköping University, Linköping, 11:15 (Swedish)
Physics, Chemistry, Mathematics
Available from: 2012-06-15 Created: 2012-06-14 Last updated: 2012-06-15Bibliographically approved

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fulltext(336 kB)364 downloads
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File name FULLTEXT01.pdfFile size 336 kBChecksum SHA-512
Type fulltextMimetype application/pdf

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Schill Collberg, Adam
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Department of MathematicsThe Institute of Technology
Discrete MathematicsAlgebra and Logic

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