Timeline for Prime constellations equivalent up to permutation
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Sep 9, 2021 at 15:43 | comment | added | Aaron Meyerowitz | That is probably all that matters. gaps $2,4,8$ should occur equally often but only half as frequency as gaps $6,12,18$ due to residue classes $\bmod 3.$ | |
| Sep 9, 2021 at 9:26 | vote | accept | Sylvain JULIEN | ||
| Sep 9, 2021 at 9:24 | comment | added | Sylvain JULIEN | I décided to accept your answer, as it shows we need the sets of possible residue classes of $p$ mod the relevant prime to have the same cardinal. Those sets of residue classes with same cardinal may then play the role of analogues of conjugacy classes in Chebotarev's theorem. | |
| Sep 9, 2021 at 9:20 | vote | accept | Sylvain JULIEN | ||
| Sep 9, 2021 at 9:26 | |||||
| Sep 9, 2021 at 6:55 | history | edited | Aaron Meyerowitz | CC BY-SA 4.0 |
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| Sep 9, 2021 at 6:27 | history | edited | Aaron Meyerowitz | CC BY-SA 4.0 |
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| Sep 8, 2021 at 10:51 | history | edited | Aaron Meyerowitz | CC BY-SA 4.0 |
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| Sep 8, 2021 at 10:10 | history | edited | Aaron Meyerowitz | CC BY-SA 4.0 |
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| Sep 8, 2021 at 10:04 | history | edited | Aaron Meyerowitz | CC BY-SA 4.0 |
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| Sep 8, 2021 at 9:42 | comment | added | Sylvain JULIEN | Actually I think we should require that all iterates of a "good" permutation $\sigma$ preserve the admissibility, but it may not be enough. | |
| Sep 8, 2021 at 9:29 | comment | added | Sylvain JULIEN | I don't think those make prime constellations as the diameter of the related $k$-tuples is not minimal. But your argument looks sound and there seems to be some subtlety I can't pinpoint yet. | |
| Sep 8, 2021 at 9:14 | history | answered | Aaron Meyerowitz | CC BY-SA 4.0 |