IJPAM: Volume 74, No. 1 (2012)
USING MODULAR ARITHMETIC
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa, Osaka, 533-8533, JAPAN
Abstract. Ordering 52 playing cards according to a particular rule allows one to perform a certain magic trick. By learning the rule, after viewing a given card the performer will be able to predict the next card in the deck. The key to the trick is an application of modular arithmetic, one that the author hopes will lend itself as an interesting device for mathematics education.
Received: November 29, 2010
AMS Subject Classification: 00A08, 11Z02, 97A20
Key Words and Phrases: modular arithmetic, prime numbers, primitive roots, cyclic groups, Fermat's Little Theorem
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395