I'm sure that this definition is somewhere in my brain, but I cannot currently figure it out.
What is a "distinct power?"
(please excuse me if I've posted in the wrong place.)
ahh, maybe this is why i'm confused! Thanks for your initial comments, Jameson.
It is on a list of various math-related questions and trivia.
This particular question is "The largest integer that is not a sum of distinct powers."
Using your supposition, I think that virtually any number can be in and of itself a power (itself to the first power), and it would be possible to make any number a sum of other numbers using various methods (7 could be 3^1 and 2^2). I just don't know if there's another way to look at it.
Thanks for your continued attention, Jameson.
I know only that the answer will be between 1 and 31 (in combination with the other questions that I have) in addition to the actual stated question. I feel better, now that an external person does not find this clear either!
So to confirm, all i have is the question "The largest integer that is not a sum of distinct powers." and that it is between 1 and 31 (inclusive).