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A natural number \(n\) is called sensible if there is an integer \(r\) with \(1<r<n-1\) such that the representation of \(n\) in base \(r\) has all the digits equal. For example, 62 and 15 are sensible, because 62 is written 222 in base 5 and 15 is 33 in base 4. Show that 1993 is not sensible, but 1994 is sensible.
in Mathematics by Platinum (138,598 points) | 18 views

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asked May 12, 2020 in Mathematics by MathsGee Platinum (138,598 points) | 288 views

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