Timeline for Is the density of integers $n$ such that the finite sequence $(\omega(n-r)\omega(n+r))_{0\leq r\leq n-1}$ is surjective positive?
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| May 31, 2022 at 20:58 | comment | added | Wojowu | @fedja That's a good point! I tried some explicit constructions of that sort by taking $n$ to have a small prime factor, but I didn't think to try and make $2n-P$ hit a specific residue class in general! I have added a note to the answer to acknowledge this. | |
| May 31, 2022 at 20:58 | history | edited | Wojowu | CC BY-SA 4.0 |
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| May 31, 2022 at 20:47 | comment | added | fedja | Just notice that a "product $P$ of small primes" can be anything you want modulo any particular number, so $2n-P$ can be always made divisible by $30$, say, and your proof shows that, indeed, there are only finitely many such $n$ :-) | |
| May 31, 2022 at 19:58 | history | answered | Wojowu | CC BY-SA 4.0 |