Talk:Multiplicatively perfect numbers: Difference between revisions
→To one or not to one, that is the question: Responded to Pete.
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== To one or not to one, that is the question ==
Bit of a knee-jerk undone, the task definition has changed, otherwise I have no useful opinion on the matter. --[[User:Petelomax|Petelomax]] ([[User talk:Petelomax|talk]]) 23:57, 8 May 2023 (UTC)
:If MPN is defined as a number n the product of whose divisors is n^2 then there's no doubt that '1' should be included since 1 = 1 x 1. However, if we take the alternative definition (a number n the product of whose proper divisors is n), then I don't think '1' should be included as it has no proper divisors.
:As this task originally stood ('special numbers'), the second definition was applied and so '1' was excluded. However, OEIS use the first definition and therefore include '1' though they try to ride both horses at once by including the alternative definition in the comments.
:Personally, I'm inclining towards including '1' (as the J example does) and so I'm going to change my solutions to reflect that. However, given the history of this task and that it's a moot point anyway, I think we should make the inclusion of '1' optional so as not to invalidate existing solutions which excluded it in good faith. I've therefore added a note to that effect in the task description. --[[User:PureFox|PureFox]] ([[User talk:PureFox|talk]]) 08:33, 9 May 2023 (UTC)
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