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A Problem in the Theory of Numbers

Published online by Cambridge University Press:  20 January 2009

T. H. Miller
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One of the well known properties of the number 7 is that when is reduced to a decimal, the periods of two digits are obtained to infinity by successive doubling. It is interesting to find for what other numbers this property is true.

Let n be any number, and r the base of notation, then

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , February 1907 , pp. 95 - 96
Copyright
Copyright © Edinburgh Mathematical Society 1907