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Revision History for A206256 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Decimal expansion of Product_{p prime} (1 - 3/p^2).
(history; published version)
#40 by Hugo Pfoertner at Tue Apr 16 03:06:23 EDT 2024
STATUS

editing

approved

#39 by Hugo Pfoertner at Tue Apr 16 03:06:14 EDT 2024
CROSSREFS
STATUS

approved

editing

#38 by Michael De Vlieger at Sun Feb 19 20:52:10 EST 2023
STATUS

reviewed

approved

#37 by Vaclav Kotesovec at Sun Feb 19 18:12:16 EST 2023
STATUS

proposed

reviewed

#36 by Jon E. Schoenfield at Sun Feb 19 16:28:32 EST 2023
STATUS

editing

proposed

#35 by Jon E. Schoenfield at Sun Feb 19 16:17:51 EST 2023
COMMENTS

This For a randomly selected number k, this is the probability that k, k+1, k+2 all are squarefree.

STATUS

proposed

editing

Discussion
Sun Feb 19
16:28
Jon E. Schoenfield: So … okay like this (even if it seems to require an unstated assumption that “randomly” means using a uniform distribution, but that would require a finite interval … which would result in a probability that is different from this constant)?
#34 by Jon E. Schoenfield at Sun Feb 19 02:14:34 EST 2023
STATUS

editing

proposed

Discussion
Sun Feb 19
03:45
Vaclav Kotesovec: Jon, see first comment in A059956. I would therefore keep the word "probability", but it would like to reformulate it a bit, e.g. for randomly selected k.
10:09
Alois P. Heinz: there is no need to replace all n's by k's everywhere.  The n's were ok here.
#33 by Jon E. Schoenfield at Sun Feb 19 02:09:38 EST 2023
COMMENTS

This is the probability that n, nk, k+1, nk+2 all are squarefree.

STATUS

approved

editing

Discussion
Sun Feb 19
02:14
Jon E. Schoenfield: Is the Comments entry okay? Does it need more qualifiers? It doesn’t say anything about how k is selected — whether it’s generated from a uniform distribution between 1 and an arbitrarily large maximum, or what. Or should it be stated in terms of “density” rather than anything based on “probability”?
#32 by Joerg Arndt at Tue Mar 16 04:07:11 EDT 2021
STATUS

reviewed

approved

#31 by Michel Marcus at Tue Mar 16 03:39:44 EDT 2021
STATUS

proposed

reviewed