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Revision History for A352400 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
A352400
a(n) is the left Aurifeuillian factor of p^p + 1 for A002145(n), where A002145 lists the primes congruent to 3 (mod 4).
(history; published version)
#74 by Hugo Pfoertner at Sat Sep 10 06:26:42 EDT 2022
STATUS

reviewed

approved

#73 by Joerg Arndt at Sat Sep 10 05:59:40 EDT 2022
STATUS

proposed

reviewed

#72 by Patrick A. Thomas at Sat Aug 13 18:01:38 EDT 2022
STATUS

editing

proposed

Discussion
Sat Sep 10
00:44
Patrick A. Thomas: This sequence had been approved previously. My only change was to remove the conjecture (which turned out to be false).
#71 by Patrick A. Thomas at Sat Aug 13 17:58:47 EDT 2022
COMMENTS

A conjecture, regarding the approximation formula (see below): The ratios 2/3, 28/45, 1706/2835, ..., obtained when p is 1 more or less than a multiple of the modulus, converge from above to Euler's constant (0.5772156649...).

STATUS

approved

editing

Discussion
Sat Aug 13
18:01
Patrick A. Thomas: I no longer believe the conjecture is true. It is looking as though any convergent value will be less than the Euler-Mascheroni constant.
#70 by Peter Luschny at Sat Jul 23 03:22:37 EDT 2022
STATUS

proposed

approved

#69 by Michel Marcus at Sat Jul 23 02:09:26 EDT 2022
STATUS

editing

proposed

#68 by Michel Marcus at Sat Jul 23 01:48:42 EDT 2022
COMMENTS

For prime factorizations of a(p^p + 1) through a(22), see A125136.

STATUS

approved

editing

Discussion
Sat Jul 23
02:09
Michel Marcus: A125136 is not the list of factors of this sequcnce, but of p^p + 1 for all primes
#67 by OEIS Server at Wed Jul 06 08:38:15 EDT 2022
LINKS

Patrick A. Thomas, <a href="/A352400/b352400_3.txt">Table of n, a(n) for n = 1..65</a>

#66 by Peter Luschny at Wed Jul 06 08:38:15 EDT 2022
STATUS

proposed

approved

Discussion
Wed Jul 06
08:38
OEIS Server: Installed new b-file as b352400.txt.  Old b-file is now b352400_3.txt.
#65 by Peter Luschny at Wed Jul 06 06:54:11 EDT 2022
STATUS

editing

proposed

Discussion
Wed Jul 06
06:57
Michel Marcus: oh dear, Patrick did not check the "this is a bfile" checkbox ; good catch
07:10
Peter Luschny: Are the terms reliable or are they just based on unproven approximations?
07:50
Michel Marcus: wait, wait; why do you say that b352400_3.txt is not a b_file ??
07:57
Michel Marcus: normally the terms match what the 2nd link gives
08:00
Michel Marcus: for instance, for n=65, the prime is A002145(65) = 691; with 691, 691 and 1; yes same term
08:38
Peter Luschny: OK, I was misled by your comment: "I'm not convinced with this a-file." Let us end this long and confusing discussion, which indicates that the author was not sufficiently prepared for this task.

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