[seqfan] Re: Likely an error in the sequences A046144, A046146 names

Neil Sloane njasloane at gmail.com
Mon Dec 3 17:16:08 CET 2012


I have now edited all of A046144-A046147, correcting some errors and making
them consistent
Neil

On Mon, Dec 3, 2012 at 1:00 AM, T. D. Noe <noe at sspectra.com> wrote:

> Not an error.  IMHO, the original name was fine.  This is how experts talk
> about it.  This is a rather esoteric part of number theory.  Without
> reading more about this subject, the name is still not useful.  Suggest
> restoring the old name and adding a comment that carefully describes the
> sequence.
>
> Best regards,
>
> Tony
>
>
> At 11:26 PM +0530 12/1/12, Raman wrote:
> >In my opinion, the definition of the sequences A046144, A046146
> >seems appearing to be incorrect. According to the definition of
> >primitive root - 'x' is a primitive root (mod n) if the order of 'x'
> >(mod n) is being equal to phi(n).
> >
> >So, if 'x' is a primitive root (mod n), then so is 'x+n', 'x+2n', 'x+kn',
> >etc.
> >So, if there is one primitive root of n (if n is being a member of the
> >sequence
> >A033948), then there are infinitely many, in this way. Otherwise there are
> >none,
> >(n belongs to the sequence A033949).
> >
> >In my opinion, the name of the sequence A046144 should be
> >Number of primitive roots of n, <= n.
> >OR
> >Number of primitive roots (mod n).
> >
> >Similarly the definition of the sequence A046146 need to be
> >Largest primitive root of n less than n, or 0 if no root exists.
> >OR
> >Largest primitive root (mod n), or 0 if no root exists.
> >
> >If everything is being in doubt, you can be able to clearly verify it with
> >the
> >sequence A071894 clearly stating
> >Largest positive primitive root (< p) of the n-th prime p.
> >
> >Please avoid putting me into long waits, but be keeping on with doing from
> >now onwards with whatever is
> >being good enough for the OEIS with these corrections things, stuffs in
> >these process !!!
> >
> >_______________________________________________
> >
> >Seqfan Mailing list - http://list.seqfan.eu/
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
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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