Timeline for Prime constellations equivalent up to permutation
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 9, 2021 at 9:26 | vote | accept | Sylvain JULIEN | ||
| Sep 9, 2021 at 9:20 | vote | accept | Sylvain JULIEN | ||
| Sep 9, 2021 at 9:26 | |||||
| Sep 8, 2021 at 9:14 | answer | added | Aaron Meyerowitz | timeline score: 2 | |
| Sep 8, 2021 at 9:13 | comment | added | Sylvain JULIEN | So one may try to study the "Hardy-Littlewood-Galois group" of permutations of a given constellation preserving the admissibility and see if it leaves the distribution invariant. | |
| Sep 8, 2021 at 9:08 | comment | added | Sylvain JULIEN | Indeed a permutation should preserve the admissibility, just like not every permutation of the letters of a given word makes sense or can be pronounced. I looked at the relevant wikipedia article and it seems the expression of the asymptotics conjectured by Hardy and Littlewood does not depend on the order of the prime gaps (assuming the admissibility). | |
| Sep 8, 2021 at 8:26 | comment | added | Aaron Meyerowitz | The constellation of primes $11,13,17,19$ has gaps $2,4,2$ but $4,2,2$ never happens and $2,2,4$ only once. That is a minor issue, but you need to tighten up the question. Have tried looking at data? | |
| Sep 8, 2021 at 7:17 | history | asked | Sylvain JULIEN | CC BY-SA 4.0 |