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 Mar 30 awarded Notable Question Jan 8 comment What's the explanation for why n^2+1 is never divisible by 3? I like the first three paragraphs, although I'd start the first with "For any integer $n$,". Why not conclude with "Thus, for any value of $n$, either $n^2$ or $n^2 - 1$ is a multiple of three, so the next multiple of three above $n^2$ is either $n^2+2$ or $n^2+3$."? Dec 12 comment Are there any interesting semigroups that aren't monoids? Although this answers the question in the title, it seems to ignore the second paragraph where I try to tighten what is meant by the question. Sep 24 awarded Famous Question Sep 11 awarded Popular Question Jul 29 awarded Notable Question Jul 20 awarded Yearling May 20 awarded Good Question Mar 15 awarded Nice Question Dec 1 comment Why is the volume of a cone one third of the volume of a cylinder? Yes, it's not clear what the "so forth" means -- what is the fourth dimensional counterpart? Nov 29 awarded Popular Question Nov 25 awarded Nice Answer Oct 26 awarded Popular Question Oct 17 awarded Notable Question Oct 4 awarded Popular Question Jul 20 awarded Yearling Apr 12 awarded Notable Question Feb 6 awarded Good Question Jan 10 awarded Popular Question Dec 6 awarded Nice Question