[seqfan] Re: A058055

Neil Sloane njasloane at gmail.com
Sat Aug 11 00:47:56 CEST 2012


Franklin - nice detective work! I will update the entry

On Fri, Aug 10, 2012 at 6:31 PM, <franktaw at netscape.net> wrote:

> Looking at A058056, it appears A058055(n) might be the least m such that
> m^2+n is the *first* prime greater than m^2.  Someone should check this.
>
> (The offset should still be 1.)
>
>
> Franklin T. Adams-Watters
>
> -----Original Message-----
> From: Neil Sloane <njasloane at gmail.com>
>
> I agree that the terms don't match the definition.
>
> When this happens, if possible we prefer to change
> the definition to match the terms, rather than the other way round.
>
> So think of it as a puzzle: what does produce the sequence?
>
> My first guess was to require m > n, but as Harvey said,
> that doesn't quite work.  Hmmm.
>
> On Fri, Aug 10, 2012 at 6:05 PM, <franktaw at netscape.net> wrote:
>
>  It looks to me like the terms are wrong.
>>
>> The offset is definitely wrong; it should be 1, not 0.
>>
>> Franklin T. Adams-Watters
>>
>>
>> -----Original Message-----
>> From: Harvey P. Dale <hpd1 at nyu.edu>
>>
>>         There's something I don't understand about the above sequence.
>> As I generate terms corresponding to the definition, they are quite
>> different from those shown in the OEIS.  For example (from the example
>> given), 97+2^2 = 101 which is prime, so m could be 2 rather than 2144.
>> And even if we constrain m to be greater than n, 97+102^2 = 10501
>>
> which
>
>> is prime, so m could be 102 rather than 2144.  If someone can clarify
>> this for me, I'll be glad to correct either the definition or the
>>
> terms
>
>> of the sequence.
>>         Thanks.
>>         Best,
>>         Harvey
>>
>>
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>
>
> --
> Dear Friends, I have now retired from AT&T. New coordinates:
>
> Neil J. A. Sloane, President, OEIS Foundation
> 11 South Adelaide Avenue, Highland Park, NJ 08904, USA
> Phone: 732 828 6098; home page: http://NeilSloane.com
> Email: njasloane at gmail.com
>
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-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



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