[seqfan] Re: A068652 Numbers such that every cyclic permutation is a prime.

Neil Sloane njasloane at gmail.com
Fri May 5 15:19:44 CEST 2017


World of Numbers - that is Patrick de Geest's web site. Yes, he is
certainly a serious person.  That was referenced in A016114.  I've now
copied all
the links from A016114 to A068652.

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.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com



On Fri, May 5, 2017 at 7:43 AM, Juan Arias de Reyna <arias at us.es> wrote:
>
> I have found another web page (I think this is more serious)
> treating the circular primes
>
> http://www.worldofnumbers.com/circular.htm#circul <http://www.worldofnumbers.com/circular.htm#circul>
>
> they claim to have search all numbers with <= 23 decimal digits and
> found only the circular primes we know and the repunits R19 and R23.
>
> Juan
>
>
>> On 4/5/2017, at 22:00, Neil Sloane <njasloane at gmail.com> wrote:
>>
>> Alexei, Ray:  Thanks for catching that error.  Could you or Ray upload
>> a safe b-file - up to the point where we no there no gaps?
>>
>> 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.
>> Phone: 732 828 6098; home page: http://NeilSloane.com
>> Email: njasloane at gmail.com
>>
>>
>>
>> On Thu, May 4, 2017 at 11:39 AM, Alexei Kourbatov <akourbatov at gmail.com> wrote:
>>> Ray, your variant of the A068652 b-file is not quite right because e.g. it
>>> does not include the permutations of a known term, 391939. My comment
>>> saying that "at least those terms" are in the sequence is not sufficient to
>>> make a new b-file because some additional unknown terms might also appear
>>> in between. A b-file constitutes a much stronger claim: "there are these
>>> terms and nothing in between."
>>>
>>> On Thu, May 4, 2017 at 8:11 AM, Ray Chandler <rayjchandler at sbcglobal.net>
>>> wrote:
>>>
>>>> I have added a comment to the related sequence A016114 (which lists the
>>>> primitive terms) with some verbiage from the Caldwell link with such a
>>>> conjecture.
>>>>
>>>> I have added a bfile for A068652 to show all known terms - the conjecture
>>>> should apply to 999331, the largest cyclic permutation of 199933.
>>>>
>>>> Also in the DeGeest link in that sequence is a reference to a paper from
>>>> Slinko with a proof for a similar conjecture for absolute primes (not the
>>>> same as cyclic primes).
>>>> Ray
>>>>
>>>>
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>>>
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>
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