Definition:Keith Number/Historical Note

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Historical Note on Keith Numbers

Keith numbers were first introduced by Mike Keith in 1987: Repfigit Numbers (J. Recr. Math. Vol. 19: pp. 41 – 42).

The author coined the name repfigit, but they have since been assigned the name of their creator.


They proved a popular topic, and in $1994$, in Volume $26$, Number $3$ of the Journal of Recreational Mathematics, several articles on them appeared.

The number of known Keith numbers is gradually extended, and as of time of writing ($5$th February $2017$) all Keith numbers have been identified up to $10^{29}$.


Mike Keith continues to maintain his webpage on the subject, which can be found at http://www.cadaeic.net/keithnum.htm.