[seqfan] Re: Infinitely many N with C(2N, N) coprime to 105 - dodgy reference?

[Neil Sloane]

I've updated A000984 with some additional comments and references.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
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Email: njasloane at gmail.com


On Thu, Oct 29, 2015 at 10:19 AM, jean-paul allouche <
jean-paul.allouche at imj-prg.fr> wrote:

> Hi
>
> In the paper http://arxiv.org/pdf/0811.2028v1.pdf
> (penultimate page), appeared in Acta Arithmetica
> (see http://journals.impan.pl/cgi-bin/doi?aa140-1-2),
> the authors allude to a 1000$ prize promised by
> R. Graham for the solution of this problem.
> It could be easy to know whether this amount of money
> was given to Betts or not.
>
> best
> jean-paul
>
>
>
> Le 28/10/15 18:05, Chris Thompson a écrit :
>
>> The reference in A000984
>>
>> Robert J. Betts, Lack of Divisibility of {2N choose N} by three fixed odd
>> primes infinitely often, through the Extension of a Result by P. Erdős,
>> et al., arXiv:1010.3070 [math.NT], 2010.
>> (from the OEIS history, added by Neil in Nov 2010 as the result of e-mail
>> from Jonathan Vos Post) purports to answer affirmatively the moderately
>> notorious conjecture that there are infinitely many N such that C(2N,N)
>> is coprime to 105 (for example). If it does, then it certainly deserves
>> mention on A030979 as well!
>>
>> However, it seems to me that Betts' arXiv paper is erroneous, where I can
>> understand what the author is trying to say at all (some of it is
>> extremely
>> confusing). Would anyone else like to take a look at it and confirm or
>> deny
>> this?
>>
>>
>
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