Timeline for Twin primes for polynomials in $\Bbb Z[X]$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Jan 23, 2022 at 13:59 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
fixed the dead link; added 30 characters in body
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| Nov 27, 2014 at 21:42 | vote | accept | Turbo | ||
| Nov 27, 2014 at 20:00 | answer | added | Lior Bary-Soroker | timeline score: 9 | |
| Nov 27, 2014 at 19:49 | comment | added | Felipe Voloch | @DanielHast Most polynomials of content one in $\mathbb{Z}[x]$ and fixed degree are irreducible, so it's even true that given $g_1,\ldots,g_m$ arbitrary, for most $f$, say monic, of fixed degree $> \max \deg g_i$, $f+g_i$ are all irreducible. | |
| Nov 27, 2014 at 15:24 | comment | added | Daniel Hast | More than just existence of infinitely many twin primes in $\mathbb{Z}[X]$, I'd be interested to know the asymptotics for such prime pairs. That sounds a lot harder, though. | |
| Nov 27, 2014 at 12:41 | answer | added | Alex B. | timeline score: 10 | |
| Nov 27, 2014 at 11:58 | history | edited | Turbo | CC BY-SA 3.0 |
added 294 characters in body
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| Nov 27, 2014 at 11:53 | comment | added | Turbo | Something of the form "Given $g(X)\in\Bbb Z[X]$, $\forall i\in \Bbb N,\mbox{ }\exists f_i(X)\in\Bbb Z[X]$ with $deg(f_i)>deg(g)$ and $\forall i,j\in\Bbb N$, $i\neq j\implies f_i(X)\neq f_j(X)$ such that $f_i(X),f_i(X)+g(X)$ are irreducible in $\Bbb Z[X]$". | |
| Nov 27, 2014 at 11:47 | comment | added | S. Carnahan♦ | Your question is rather vague. What sort of analogue are you looking for? | |
| Nov 27, 2014 at 9:28 | history | asked | Turbo | CC BY-SA 3.0 |