The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A364869 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A364869

Numbers k such that 6*k+1 is the norm of an Eisenstein prime.
(history; published version)

#18 by Michael De Vlieger at Mon Aug 21 12:01:04 EDT 2023

STATUS

proposed

approved

#17 by Jianing Song at Mon Aug 21 10:59:25 EDT 2023

STATUS

editing

proposed

#16 by Jianing Song at Mon Aug 21 10:59:16 EDT 2023

CROSSREFS

Contains 4*A024702 as a subsequence.

STATUS

approved

editing

#15 by OEIS Server at Fri Aug 18 08:25:38 EDT 2023

LINKS

Jianing Song, <a href="/A364869/b364869_1.txt">Table of n, a(n) for n = 1..10000</a>

#14 by Michael De Vlieger at Fri Aug 18 08:25:38 EDT 2023

STATUS

proposed

approved

Discussion

Fri Aug 18

08:25

OEIS Server: Installed first b-file as b364869.txt.

#13 by Jianing Song at Fri Aug 18 06:05:18 EDT 2023

STATUS

editing

proposed

#12 by Jianing Song at Fri Aug 18 06:05:05 EDT 2023

LINKS

Jianing Song, <a href="/A364869/b364869_1.txt">Table of n, a(n) for n = 1..10000</a>

STATUS

approved

editing

#11 by Michael De Vlieger at Wed Aug 16 08:22:56 EDT 2023

STATUS

proposed

approved

#10 by Joerg Arndt at Wed Aug 16 02:30:49 EDT 2023

STATUS

editing

proposed

Discussion

Wed Aug 16

03:40

Jianing Song: Thanks! Using pi is more to distinguish with the rational primes (2, 3, 5, 7, ...). But using p is ok to me.

#9 by Joerg Arndt at Wed Aug 16 02:30:47 EDT 2023

COMMENTS

If pi p is an Eisenstein prime of norm 6*a(n)+1 (there are two up to association if a(n) is a prime, one if a(n) is the square of a prime), then for any Eisenstein integer x, we have x^a(n) == 0, 1, w, w^2, -1, -w or -w^2 (mod pip), where w = (1+sqrt(-3))/2 is a primitive sixth root of unity.

STATUS

proposed

editing