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Timeline for Mid-Square with all bits set

Current License: CC BY-SA 3.0

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Mar 14, 2022 at 21:21 comment added Steven Stadnicki Several years on, but I feel obliged to point out that this approach has a relatively fatal flaw: There are many, many $x$ between $x=0$ and $x=2^n$, and most of them won't have very simple continued fraction expansions — the expected value of the period of the expansion of $\sqrt{D}$ is (roughly) $\Theta(D^{1/2})$, so trying to search on suitable $a, b, c,\ldots$ will turn up a relatively small number of ;'candidates' unless we blow out our search more-or-less exponentially.
Jan 17, 2017 at 16:07 history edited Max Alekseyev CC BY-SA 3.0
added 28 characters in body
Jan 17, 2017 at 16:01 history edited Max Alekseyev CC BY-SA 3.0
added 28 characters in body
Jan 17, 2017 at 15:56 history answered Max Alekseyev CC BY-SA 3.0