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Timeline for How to construct a small coprime?

Current License: CC BY-SA 3.0

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Jan 7, 2018 at 15:12 answer added Dan Brumleve timeline score: 2
Sep 14, 2017 at 23:45 vote accept Igor Pak
Sep 14, 2017 at 23:45
Sep 14, 2017 at 5:45 history edited Igor Pak CC BY-SA 3.0
fixed
Sep 14, 2017 at 3:05 answer added Timothy Chow timeline score: 6
Sep 14, 2017 at 2:25 comment added Gerry Myerson @Tim, it's clear now. It wasn't clear before Igor edited in the bit about "One can of course, deterministically test primality of $n+1,n+2,…,n+C(\log n)^2$, but that's not yet proved to work."
Sep 14, 2017 at 2:16 comment added Timothy Chow @IgorPak For this type of question, people are so used to assuming GRH and so forth when convenient, that it's become customary to say explicitly that you want an unconditional result if that's what you really want. But I think it's clear from what you wrote.
Sep 13, 2017 at 22:46 history edited Igor Pak CC BY-SA 3.0
added 126 characters in body
Sep 13, 2017 at 22:39 comment added Igor Pak @GerryMyerson Hoping for a result not a conjecture is not a secret condition. Maybe I am missing something about MO, but that's how questions normally work.
Sep 13, 2017 at 21:59 comment added Gerry Myerson Then maybe you should say that, and any other secret conditions, in the body of the question. Please edit.
Sep 13, 2017 at 16:47 comment added Igor Pak @GerryMyerson Correct. I know. But I want to have a theorem free of conjectures.
Sep 13, 2017 at 15:24 answer added Gerhard Paseman timeline score: -1
Sep 13, 2017 at 13:16 comment added Gerry Myerson There is a deterministic polynomial-time algorithm to test for primality, and you only have to test about $(\log n)^2$ numbers if the standard conjectures are true.
Sep 13, 2017 at 10:29 comment added Igor Pak @JasonStarr - Sure. Updated.
Sep 13, 2017 at 10:28 history edited Igor Pak CC BY-SA 3.0
added 9 characters in body
Sep 13, 2017 at 10:27 comment added Jason Starr Did you forget to write a condition on $q$? Why not take $q$ equal to $1$?
Sep 13, 2017 at 10:14 history edited Igor Pak CC BY-SA 3.0
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Sep 13, 2017 at 10:06 comment added Igor Pak Oh, no. I just want it to work for some $c$. So $c=100$ is great.
Sep 13, 2017 at 10:04 comment added Dirk Is $c$ an integer or are you looking for an algorithm that works for all real $c > 1$ (i.e. an algorithm that also outputs that there is no such $q$ in some cases)?
Sep 13, 2017 at 10:00 history asked Igor Pak CC BY-SA 3.0