According to Obláth, Bugeaud and Mignotte, repdigit numbers with more than one digit cannot be a perfect power either, so they will not be listed here either.
According to Erdős, Darmon, Merel and Győry, binomial coefficients (numbers of the form nCk with n ≥ 2k and k ≥ 2) (except square triangular numbers and the number 19,600) cannot be a perfect power either, so they will not be listed here either.
All known perfect numbers are even, and it has been proven, that no even perfect number can be a perfect power, so they will not be listed here either. It is currently unknown, but highly unlikely, that there is an odd perfect number, which is also a perfect power.
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Pages in category "Non-powers"
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