[seqfan] Re: Is there any problems with this proof?

John W. Nicholson reddwarf2956 at yahoo.com
Sat Feb 21 01:58:06 CET 2015


Charles, 

Does that mean that the proof with first question, that the ratio <=2, is correct and with out problems so that you are now looking at the second question with the limit of the ratio going to infinity =1? John W. Nicholson 

     On Friday, February 20, 2015 4:24 PM, Charles Greathouse <charles.greathouse at case.edu> wrote:
   
 

 I suspect that there is some k > 1 such that the ratio is greater than k
infinitely often. Is anyone interested in crunching the numbers here on the
heuristic?

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Fri, Feb 20, 2015 at 4:53 AM, John W. Nicholson <reddwarf2956 at yahoo.com>
wrote:

> Below is a proof based on A005250(n ) of the OEIS.  Can someone look at it
> and tell me if it true?
>
> http://math.stackexchange.com/questions/1155523/is-frac-textnext-maximal-textmaximal-2-true
> If it is true, an edit of A005250 comments is needed.
>
> Related:
>
> https://math.stackexchange.com/questions/831768/under-assumption-that-fracm-n1m-n-le-2-what-is-true?lq=1
>
> https://math.stackexchange.com/questions/793555/is-there-a-conjecture-with-maximal-prime-gaps?lq=1
>
>
>  John W. Nicholson
>
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>
> Seqfan Mailing list - http://list.seqfan.eu/
>

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