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Education > Algebra help > Re: Prime Numbe...
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Re: Prime Number Theorem

by "Brian M. Scott" <b.scott@[EMAIL PROTECTED] > Jul 22, 2008 at 02:32 PM

On Tue, 22 Jul 2008 02:15:13 +0100, Jack <jj@[EMAIL PROTECTED]
>
wrote in <news:ywahk.20062$WX2.2888@[EMAIL PROTECTED]
> in
alt.algebra.help:

> To put it another way, if I define the following set (and
> please do feel  free to help me [in the usual way :-)] by
> improving upon the articluation),  using my old function
> t as the number of primes in a subset of P (which is the
> set of all primes whose value does not exceed sqrt 2y),

Is this supposed to be sqrt(y)?  I'll be assuming that it
is.

> which I call J, (here, it is written as to be equal to P)
> that divide n, and a(P) as the product of all members of
> P,

In other words, this P is my P(y), and this a(P) is my m(y).

> "Let D(y,t_{P}) be the set of integers n in [1,y] for
> which t_{P}(n)>0,  

More intelligibly: the set of integers n in [1, y] that are
divisible by at least one member of P.

> excluding the first 
> (o(1,a(P}),t_P)(y) / a(P}) 

I presume that both instances of 'a(P}' were supposed to be
'a(P)'.  I assume further that the opening '(' and closing
')' are meaningless clutter.  Fixing those errors leaves:

   o(1,a(P)),t_P)(y) / a(P)
   
This is incomprehensible: the parentheses don't balance, and
you've not told me what this 'o' thing is.

> such, to the nearest whole number"

> unless you are saying that the number of primes in [1,y]
> gets increasingly [greater] than (o(1,a(P}),t_P) (y) / a(P})
> in pro****tion to y, you appear to be  saying that for an
> interval [1,y], |D| gets ever greater in pro****tion to y.

> Am I interpreting you correctly?

I have no idea.
 




 132 Posts in Topic:
Prime Number Theorem
"Jack" <jj@[  2008-07-19 20:16:58 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-19 21:27:03 
Re: Prime Number Theorem
William Elliot <marsh@  2008-07-19 23:58:32 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-20 14:00:49 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-20 12:42:33 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-20 17:55:17 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-20 13:17:20 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-20 18:31:21 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-20 14:01:10 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-20 19:26:12 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-20 15:02:06 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-21 14:40:50 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-21 15:00:13 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-21 20:06:27 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-21 19:56:16 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 01:37:36 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 02:15:13 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 02:29:24 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 14:32:58 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 20:40:52 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-23 00:49:19 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 21:44:06 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-23 03:35:11 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-23 13:36:58 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-23 18:03:00 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-24 00:06:54 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-23 21:45:51 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-24 04:14:29 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-24 04:21:15 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-25 17:36:39 
Re: Prime Number Theorem
Frederick Williams <fr  2008-07-26 10:50:43 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-26 13:28:07 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-26 13:54:30 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-26 19:26:57 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-24 16:17:40 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-25 00:57:10 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-24 21:19:30 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-25 04:16:14 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-26 15:44:11 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-26 23:55:29 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-27 02:34:49 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-27 01:30:55 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-27 18:36:58 
Re: Prime Number Theorem
Frederick Williams <fr  2008-07-27 22:20:17 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-27 17:39:53 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-28 00:32:50 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-28 00:38:47 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-28 00:59:18 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-28 00:18:24 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-28 15:54:16 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-28 17:34:26 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-28 23:29:05 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-28 22:31:46 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-29 08:51:06 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-29 17:11:41 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-29 13:36:47 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-29 13:45:07 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-29 18:59:58 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-29 16:45:02 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-29 22:15:36 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-29 22:24:05 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-29 22:10:54 
Intervals
"Jack" <jj@[  2008-07-30 04:44:22 
Re: Intervals
Paul Sperry <plsperry@  2008-07-30 01:07:38 
Re: Intervals
"Jack" <jj@[  2008-07-30 15:48:52 
Re: Intervals
"Jack" <jj@[  2008-07-30 16:16:57 
Re: Intervals
Paul Sperry <plsperry@  2008-07-30 16:12:43 
Re: Intervals
"Jack" <jj@[  2008-07-30 23:06:04 
Re: Intervals
"Jack" <jj@[  2008-07-31 02:06:59 
Re: Intervals
Paul Sperry <plsperry@  2008-07-31 00:25:37 
Re: Intervals
"Jack" <jj@[  2008-08-02 02:53:32 
Re: Intervals
"Jack" <jj@[  2008-08-02 02:57:04 
Re: Intervals
Paul Sperry <plsperry@  2008-08-03 00:24:38 
Re: Intervals
"Brian M. Scott"  2008-08-03 00:35:25 
Re: Intervals
"Jack" <jj@[  2008-08-03 16:18:47 
Re: Intervals
Paul Sperry <plsperry@  2008-08-03 17:43:33 
Re: Intervals
"Jack" <jj@[  2008-08-03 23:08:03 
Re: Intervals
Paul Sperry <plsperry@  2008-08-03 22:32:42 
Re: Intervals
"Jack" <jj@[  2008-08-04 18:04:25 
Re: Intervals
Paul Sperry <plsperry@  2008-08-04 17:01:37 
Re: Intervals
"Jack" <jj@[  2008-08-04 22:41:01 
Re: Intervals
Paul Sperry <plsperry@  2008-08-04 22:39:29 
Re: Intervals
"Jack" <jj@[  2008-08-05 05:54:44 
Re: Intervals
Frederick Williams <fr  2008-08-05 14:33:22 
Re: Intervals
Paul Sperry <plsperry@  2008-08-05 14:30:02 
Re: Intervals
"Brian M. Scott"  2008-08-05 14:58:37 
Re: Intervals
Paul Sperry <plsperry@  2008-08-05 21:51:18 
Re: Intervals
"Jack" <jj@[  2008-08-06 03:23:27 
Re: Intervals
"Brian M. Scott"  2008-08-06 00:31:11 
Re: Intervals
"Jack" <jj@[  2008-08-06 13:30:21 
Re: Intervals
"Jack" <jj@[  2008-08-06 14:20:58 
Re: Intervals
"Jack" <jj@[  2008-08-07 01:47:33 
Re: Intervals
Paul Sperry <plsperry@  2008-08-06 22:09:39 
Re: Intervals
"Jack" <jj@[  2008-08-05 20:55:50 
Re: Intervals
"Jack" <jj@[  2008-08-05 21:07:38 
Re: Intervals
Paul Sperry <plsperry@  2008-08-05 21:49:18 
Re: Intervals
Paul Sperry <plsperry@  2008-08-05 21:50:20 
Re: Intervals
"Jack" <jj@[  2008-08-06 03:28:15 
Re: Intervals
"Brian M. Scott"  2008-08-03 20:47:11 
Re: Intervals
"Jack" <jj@[  2008-08-04 03:14:25 
Re: Intervals
"Brian M. Scott"  2008-08-03 22:42:46 
Re: Intervals
"Jack" <jj@[  2008-08-04 16:30:08 
Re: Intervals
"Jack" <jj@[  2008-08-04 17:24:33 
Re: Intervals
"Jack" <jj@[  2008-08-04 17:28:03 
Re: Prime Number Theorem
Frederick Williams <fr  2008-07-30 13:17:04 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-30 14:48:16 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-29 14:14:20 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-28 15:08:08 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-28 16:16:05 
Re: Prime Number Theorem
Frederick Williams <fr  2008-07-27 14:03:35 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-27 16:50:56 
Re: Prime Number Theorem
Frederick Williams <fr  2008-07-27 22:05:39 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-23 13:44:00 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-23 15:28:33 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 09:02:19 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 16:56:40 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 19:54:29 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 15:12:37 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 14:57:05 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 20:32:18 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 20:51:30 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 16:05:37 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 16:02:02 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-22 21:48:15 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 17:50:18 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 22:42:09 
Re: Prime Number Theorem
"Jack" <jj@[  2008-07-23 13:06:20 
Re: Prime Number Theorem
Paul Sperry <plsperry@  2008-07-21 21:05:54 
Re: Prime Number Theorem
William Elliot <marsh@  2008-07-21 00:31:49 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-21 07:45:43 
Re: Prime Number Theorem
William Elliot <marsh@  2008-07-22 01:20:52 
Re: Prime Number Theorem
"Brian M. Scott"  2008-07-22 08:40:54 

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tan12V112 Fri Oct 10 17:01:14 CDT 2008.