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Jan 4, 2019 at 12:36 comment added thibo The new version 2 of arxiv.org/pdf/1809.10912.pdf gives a quite convincing answer: $$n^{-2} \leq \lim p(n) \leq n^{-2+o(1)},$$ thanks!
Jan 4, 2019 at 12:33 vote accept thibo
Oct 9, 2018 at 14:02 comment added thibo Thank you for this very nice proof that my conjecture is wrong :) Together with the paper of Acan et al. you mentioned this gives me a much clearer view of the problem.
Oct 9, 2018 at 1:32 history edited Sean Eberhard CC BY-SA 4.0
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Oct 9, 2018 at 0:12 history answered Sean Eberhard CC BY-SA 4.0