Base Rep Puzzle

Edwin Clark eclark at math.usf.edu
Wed Dec 28 21:42:39 CET 2005


On Wed, 28 Dec 2005, David Wilson wrote:

> For n >= 2, what is the smallest positive integer that has a different number of 
> digits in each of the bases 2 through n?
> 

Change "number of digits" to "number of distinct digits" and one gets for 
n from 2 to 7: (if I'm not mistaken)

    1, 2, 21, 156, 2343, 131071

---Edwin







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