new web page for sending in ADDITIONS to an entry
N. J. A. Sloane
njas at research.att.com
Mon Jul 28 22:38:19 CEST 2008
shows that all values but 3 (the only prime congruent to 3 mod 12) in A141187
shows that A141186 is a subsequence of A068228.
shows that A141175 is a subsequence of A045382 and A007522.
shows that A141174 is a subsequence of A045390 and A007519.
substitute x-> y and y->-x to transfrom Q(7x^2+6xy-4y^2)=Q(7y^2-6xy-4x^2)=
shows that A141158 is a subsequence of A045468.
shows that A141131 is a subsequence of A038873, since here are no primes
shows that A141122 is a subsequence of A068228, since here are no primes
shows that A139492 is a subsequence of A002476, since here are no primes
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Message-ID: <5542af940807301529l121de3a5y99814771bcb11d2b at mail.gmail.com>
Date: Wed, 30 Jul 2008 15:29:53 -0700
From: "Jonathan Post" <jvospost3 at gmail.com>
To: SeqFan <seqfan at ext.jussieu.fr>
Subject: n for which A108954(n) = Pi(2n)-Pi(n) is prime
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I don't know if this is worth submitting. Comments?
n for which A108954(n) = Pi(2n)-Pi(n) = the number of primes between n
and 2n, inclusive, is prime.
4, 6, 7, 8, 9, 11, 13, 14, 16, 21, 23, 27, 28, 30, 31, 32, 33, 51, 53,
55, 56, 59, 60, 64, 65, 67, 68, 73, 74, 87, 88, 90, 96, 97, 98, ...
I just submitted a comment and hotlink for A108954, the link being to
On a certain relation between Legendre's conjecture and Bertrand's postulate
Authors: Tsutomu Hashimoto
(Submitted on 23 Jul 2008 (v1), last revised 30 Jul 2008 (this version, v4))
Abstract: We prove a certain relation between Legendre's
conjecture and Bertrand's postulate in terms of a certain
transformation of Legendre's function phi. We show a certain property
of a prime.
Comments: 6 pages; added corollary for introduction; changed plot
lines in section 4
Subjects: General Mathematics (math.GM)
MSC classes: 00A05; 11A41
Cite as: arXiv:0807.3690v4 [math.GM]
That comment and link might also be added to A060715.
-- Jonathan Vos Post
p.s. yesterday's 5.4 quake was a hard and audible jolt followed by 15
to 20 seconds of home-swaying, as experienced in Altadena (my 1930
home solidly atop granite of foothills of the San Gabriel Mountains).
Did any seqfans have damage?
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