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

Juan Arias de Reyna arias at us.es
Fri May 5 13:43:19 CEST 2017

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.


> 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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