id: 06050894
dt: j
an: 2012d.00003
au: Nishiyama, Yutaka
ti: The “52 cycling cards” trick using modular arithmetic.
so: Int. J. Pure Appl. Math. 74, No. 1, 1-10 (2012).
py: 2012
pu: Academic Publications, Sofia
la: EN
cc: A20 F65
ut: modular arithmetic; prime numbers; primitive roots; cyclic groups;
Fermat’s Little Theorem
ci:
li: http://www.ijpam.eu/contents/2012-74-1/1/index.html
ab: Summary: 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.
rv: