Timeline for Prime stretches and pulsars (alternations)
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 10, 2021 at 4:47 | comment | added | Wlod AA | OEIS records the exact stretches (nice!). The sequences are not increasing -- interesting. | |
| Jul 10, 2021 at 4:37 | comment | added | Wlod AA | @GerryMyerson, I closed my eyes and checked primes from 2 to 97, and I agree with oeis about 97. | |
| Jul 10, 2021 at 4:30 | comment | added | Wlod AA | @GerryMyerson, thank you for both links. $97$ must be the first isolated prime, meaning that it is congruent to the previous, $\ 89,\ $ and to the next prime, $\ 101\mod4$ | |
| Jul 10, 2021 at 4:19 | comment | added | Gerry Myerson | oeis.org/A247384 tabulates "Find the first (maximal) string of consecutive primes of length exactly $n$ which alternate between $4k+1$ and $4k+3$ or $4k+3$ and $4k+1$ as in A002144($4n+1$) and A002145($4n+3$)." I don't understand why it starts with $97$ and not with $7$. oeis.org/A289118 tabulates "Least prime beginning a string, of length at least $n$, of consecutive primes which alternate between types $4k+1$ and $4k+3$ or $4k+3$ and $4k+1$." | |
| Jul 10, 2021 at 4:09 | comment | added | Gerry Myerson | oeis.org/A055623 tabulates "First occurrence of run of primes congruent to $1$ mod $4$ of exactly length $n$." oeis.org/A055624 does the same for $3$ mod $4$. | |
| Jul 10, 2021 at 4:03 | history | edited | Gerry Myerson | CC BY-SA 4.0 |
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| Jul 10, 2021 at 3:56 | history | asked | Wlod AA | CC BY-SA 4.0 |