# [seqfan] Re: What is in a name? A161621

John W. Nicholson reddwarf2956 at yahoo.com
Fri Dec 13 16:02:49 CET 2013

```Charles,

Looks better, any one of those. Which one is best?
As for the current title, should it be copied into comments? Or, is it worthy of keeping?

John W. Nicholson

On Friday, December 13, 2013 8:43 AM, Charles Greathouse <charles.greathouse at case.edu> wrote:

"Numerator of (pi((n+1)^2) - pi(n^2)) / (pi((n+2)^2) - pi(n^2))."
>
>"Numerator of (x-y)/(z-y), where x = pi((n+1)^2), y = pi(n^2), and z =
>pi((n+2)^2)."
>
>"Numerator of (b(n+1) - b(n))/(b(n+2) - b(n)), where b(n) = A038107(n) is
>the number of primes up to n^2."
>
>
>Charles Greathouse
>Analyst/Programmer
>Case Western Reserve University
>
>
>
>On Fri, Dec 13, 2013 at 9:27 AM, John W. Nicholson
><reddwarf2956 at yahoo.com>wrote:
>
>> I don't know where to start. Can someone simply this title?
>>
>> (blue bar)
>> A161621     Numerators of the ratios (in lowest terms) of numbers of
>> primes in one square interval to that of the interval and its successor.
>> The numerators are derived from sequence A014085. The expression is:
>> R(n)=(PrimePi[(n+1)^2] - PrimePi[n^2])/(PrimePi[(n+2)^2] - PrimePi[n^2]);
>> The first few ratios are: 1/2, 2/5, 3/5, 1/3, 4/7,...
>> (blue bar ends)
>>
>>
>> John W. Nicholson
>>
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>>
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>>
>
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```