Timeline for Is it possible to determine whether the sequence $\,a_0=p,\;a_{n+1}=(a_n-2)\cdot a_n+2\,$ will reach another prime number?
Current License: CC BY-SA 4.0
6 events
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Mar 15, 2020 at 21:56 | history | edited | Augusto Santi | CC BY-SA 4.0 |
Added some other notes.
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Mar 13, 2020 at 1:06 | comment | added | GH from MO | @GjergjiZaimi: I think this question is slightly different. I suspect that there exists a prime $p$ such that $a_n$ is never prime, but probably we will never be able to decide this. | |
Mar 13, 2020 at 0:40 | vote | accept | Augusto Santi | ||
Mar 13, 2020 at 0:01 | comment | added | Gjergji Zaimi | Notice that we can't even establish the infinitude of primes of the form $n^2+1$, let alone with the added condition of $n$ being a power of $p-1$. | |
Mar 12, 2020 at 23:47 | answer | added | GH from MO | timeline score: 9 | |
Mar 12, 2020 at 23:30 | history | asked | Augusto Santi | CC BY-SA 4.0 |