Are A014692 and A086969 the same sequence?

[Andrew Plewe]

something? Thanks!
	-Andrew Plewe-
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From: "N. J. A. Sloane" <njas at research.att.com>
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Subject: Re:  Are A014692 and A086969 the same sequence?
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something? Thanks!
Me:  I think the word "inclusive" explains it!
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From: "Andrew Plewe" <aplewe at sbcglobal.net>
To: <njas at research.att.com>, <seqfan at ext.jussieu.fr>
Subject: RE: Are A014692 and A086969 the same sequence?
Date: Wed, 4 Apr 2007 15:14:31 -0700
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	-Andrew Plewe-
From: N. J. A. Sloane [mailto:njas at research.att.com]
Sent: Wednesday, April 04, 2007 2:57 PM
To: seqfan at ext.jussieu.fr; Andrew Plewe
Subject: Re: Are A014692 and A086969 the same sequence?
something? Thanks!
Me:  I think the word "inclusive" explains it!
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Date: Wed, 4 Apr 2007 15:02:37 -0700 (PDT)
From: Ray Chandler <rayjchandler at sbcglobal.net>
Subject: Re: Are A014692 and A086969 the same sequence?
To: Andrew Plewe <aplewe at sbcglobal.net>, seqfan at ext.jussieu.fr
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Andrew,
  The key word in the second definition is "inclusive."  There are 2 primes between 2 and 3, including the end points.  The sequences are the same.  Nice find.
   
  Number of primes between p(n) and p(p(n)) inclusive is PrimePi(p(p(n))) - PrimePi(p(n)) +1.
   
  This simplifies to p(n) -n +1 = p(n) - (n+1).
  Ray

Andrew Plewe <aplewe at sbcglobal.net> wrote:
  I don't quite understand how A086969 operates. If I plug in 1 for n I get:

p(1) = 2
p(p(1)) = p(2) = 3, and there are zero primes between 3 and 2. Am I missing
something? Thanks!


-Andrew Plewe-




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<DIV>Andrew,</DIV>  <DIV>The key word in the second definition is "inclusive."  There are 2 primes between 2 and 3, including the end points.  The sequences are the same.  Nice find.</DIV>  <DIV> </DIV>  <DIV>Number of primes between p(n) and p(p(n)) inclusive is PrimePi(p(p(n))) - PrimePi(p(n)) +1.</DIV>  <DIV> </DIV>  <DIV>This simplifies to p(n) -n +1 = p(n) - (n+1).</DIV>  <DIV>Ray<BR><BR><B><I>Andrew Plewe <aplewe at sbcglobal.net></I></B> wrote:</DIV>  <BLOCKQUOTE class=replbq style="PADDING-LEFT: 5px; MARGIN-LEFT: 5px; BORDER-LEFT: #1010ff 2px solid">I don't quite understand how A086969 operates. If I plug in 1 for n I get:<BR><BR>p(1) = 2<BR>p(p(1)) = p(2) = 3, and there are zero primes between 3 and 2. Am I missing<BR>something? Thanks!<BR><BR><BR>-Andrew Plewe-<BR><BR><BR></BLOCKQUOTE><BR>
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