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Timeline for Factor-counting sequence

Current License: CC BY-SA 4.0

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Nov 20, 2020 at 12:51 history edited Alessandro Della Corte CC BY-SA 4.0
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Nov 20, 2020 at 12:46 history edited Alessandro Della Corte CC BY-SA 4.0
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Nov 20, 2020 at 12:27 comment added Alessandro Della Corte Maybe it's also worth pointing out the even more trivial bound $\mathcal{M}_n< n$. Also notice: $$\text{every prime appears in the sequence}\implies$$ $$3\ \text{appears infinitely many times}\implies$$ $$\text{every natural number appears in the sequence}$$
Nov 20, 2020 at 9:14 history edited Alessandro Della Corte
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Nov 20, 2020 at 9:07 comment added Ilya Bogdanov Clearly, $\mathcal M_n\geq \sqrt{n-1}$: if none of the first $n-1$ terms is greater than $\sqrt{n-1}$, then at least one number appears there $\geq \sqrt{n-1}$ times; the last one would be followed by a large term.
Nov 20, 2020 at 8:43 history edited Alessandro Della Corte
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Nov 20, 2020 at 0:59 history edited Alessandro Della Corte CC BY-SA 4.0
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Nov 20, 2020 at 0:34 history edited Alessandro Della Corte CC BY-SA 4.0
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Nov 20, 2020 at 0:28 history asked Alessandro Della Corte CC BY-SA 4.0