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Representation in all 1s in any base?
An positive integer N can be expressed as 11 in base n-1 or as n 1s in base 1. Let's call those the "trivial" cases in which N can be represented using only 1s.
7 has a non-trivial "all 1s" representation (111 in base 2).
11 has no non-trivial "all 1s" rep...