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Timeline for Only odd primes?

Current License: CC BY-SA 4.0

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Feb 5, 2022 at 1:22 history became hot network question
Feb 4, 2022 at 18:36 comment added GH from MO $u$ and $v$ are disjoint if and only if $k$ is odd and not a perfect square. See my response below.
Feb 4, 2022 at 18:29 answer added GH from MO timeline score: 20
Feb 4, 2022 at 18:10 answer added Jeremy Rouse timeline score: 32
Feb 4, 2022 at 17:45 comment added LSpice A tiny bit of data: $\lfloor(2 - \sqrt2)6\rfloor = \lfloor(2 + \sqrt2)1\rfloor$; $\lfloor(4 - \sqrt4)3\rfloor = \lfloor(4 + \sqrt4)1\rfloor$; $\lfloor(6 - \sqrt6)12\rfloor = \lfloor(6 + \sqrt6)5\rfloor$; $\lfloor(8 - \sqrt8)2\rfloor = \lfloor(8 + \sqrt8)1\rfloor$; $\lfloor(9 - \sqrt9)2\rfloor = \lfloor(9 + \sqrt9)1\rfloor$; and, if I have not made a mistake, then these are the least coincidences among the two sets. Do you know any special case (e.g., non-squarefree $k$ don't produce disjoint sets)?
Feb 4, 2022 at 17:39 comment added LSpice Are $k$ and $n$ integers?
Feb 4, 2022 at 17:20 history asked Clark Kimberling CC BY-SA 4.0