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@TimothyChow Well, quite a few time ago I sent it to the AMM and then (after getting rejected) to the Mathematical Intelligencer, . In both cases one reviewer was enthusiastic and the other wrote in the spirit "technically correct, but I don't think it is of interest to the readers" (a statement that leave little room for discussion). At that point I decided to keep it on arXiv.
"insights" are too open-ended for MO. Restricting to integers make it more complicated (e.g. you loose continuity, you make problem description longer, ...).
