Talk:Abundant number

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proper multiple? -- Cimon Avaro on a pogo-stick 13:51, Sep 19, 2003 (UTC)

"open interval" termonology used with closed interval (brackets) The article mentions an "open interval" (and even provides a link with example usage) but uses brackets instead of parenthesis. Unfortunately, I am unsure whether it is supposed to actually be a "closed interval" (which would match the notation), an "open interval" (in which case, I believe the bounds should be marked with parenthesis and not square brackets), or I am simply wrong. ampre 06:17, 1 May 2004 (UTC)

According to this page, Nicomachus had a different definition for abundant numbers: he "only required that σ(n) exceeds n". As σ(n) is the sum of all divisors of n including n itself, σ(n)>n for all positive integers larger than 1. I don't think this was what he meant, so I have removed the alternative definition from the article. Eugene van der Pijll 23:02, 17 Mar 2005 (UTC)

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