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``Re: odd perfect numbers DO EXIST!'' by azdbacks4234 on 2008-10-26 16:57:38
It's unlikely that a lot of people here will take the time to go through your argument because it is rather difficult to read. It's not clear to me what you are asserting...there is no "definition" of an odd perfect number. A positive integer $n$ is a "perfect number" if $n=\sum_{d\mid n}d-n$. An odd perfect number is then just an odd integer satisfying this condition...there is no "definition" to change. No one is claiming that the odd perfect numbers, if they exist, must adhere to the same kind of rigid formula that the even perfect numbers do.

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