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2001 IMO Shortlist Problems/N1

Revision as of 18:54, 20 August 2008 by Minsoens (talk | contribs) (New page: == Problem == Prove that there is no positive integer <math>n</math> such that, for <math>k = 1,2,\ldots,9</math>, the leftmost digit (in decimal notation) of <math>(n + k)!</math> equals ...)
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Problem

Prove that there is no positive integer $n$ such that, for $k = 1,2,\ldots,9$, the leftmost digit (in decimal notation) of $(n + k)!$ equals $k$.

Solution

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Resources

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