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Timeline for Rough numbers in short interval

Current License: CC BY-SA 4.0

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Feb 20, 2022 at 1:06 comment added khattab Ah ok ! Thanks again.
Feb 20, 2022 at 0:58 comment added GH from MO @khattab No. Iwaniec talks about the first $r$ primes, while you talk about the primes up to $k$. That is, Iwaniec's $r$ equals $\pi(k)\sim k/\log k$ here, and Iwaniec's bound $O(r^2\log^2 r)$ is really $O(k^2)$ here.
Feb 19, 2022 at 23:50 comment added khattab After checking the paper of Iwaniec, $t=c log^2(k)k^2$.
Feb 17, 2022 at 19:56 vote accept khattab
Feb 4, 2022 at 0:48 comment added Andreas Weingartner It looks like Maier and Pomerance (1990) conjectured that $j(P(k)) = k(\log k)^{2+o(1)}$.
Feb 3, 2022 at 23:03 vote accept khattab
Feb 17, 2022 at 19:56
Feb 3, 2022 at 23:00 history edited GH from MO CC BY-SA 4.0
deleted 15 characters in body
Feb 3, 2022 at 23:00 comment added khattab Very clear. Thanks a lot.
Feb 3, 2022 at 22:49 history answered GH from MO CC BY-SA 4.0