[seqfan] Re: More (composite) terms for A233281: 4181, 10877, 75077, ?

Neil Sloane njasloane at gmail.com
Tue Feb 4 16:07:59 CET 2014


I would say that in this sentence


> "Numbers n such that the least Fibonacci number F_k which is a multiple
of n has a prime index, i.e. k is in A000040."

there is no ambiguity at all. It is clear what "multiple" means. That's the
best choice of definition.

And I agree that  4181, 10877, 75077 has enough digits to be
submitted as a new sequence.

Neil






On Tue, Feb 4, 2014 at 9:19 AM, Charles Greathouse <
charles.greathouse at case.edu> wrote:

> Yes, I think those terms are enough -- though don't forget keyword:bref in
> addition to more.
>
> Of the names you suggest for A233281, I prefer the original, or something
> like it:
>
> Numbers n such that the least Fibonacci number F_k which is a multiple of n
> has a prime index, i.e., A001177(n) is prime.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
>
> On Tue, Feb 4, 2014 at 6:33 AM, Antti Karttunen
> <antti.karttunen at gmail.com>wrote:
>
> > On Tue, Feb 4, 2014 at 10:33 AM,  <seqfan-request at list.seqfan.eu> wrote:
> >
> > > Message: 11
> > > Date: Mon, 3 Feb 2014 17:58:22 -0500
> > > From: Hans Havermann <gladhobo at teksavvy.com>
> > > To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> > > Subject: [seqfan] Re: More (composite) terms for A233281
> > > Message-ID: <AB7E92A4-83F8-45C8-A738-8236C60CC0A4 at teksavvy.com>
> > > Content-Type: text/plain; charset=us-ascii
> > >
> >
> > > "Numbers n such that the least Fibonacci number F_k which is a multiple
> > of n has a prime index, i.e. k is in A000040."
> > >
> > ...
> > > Anyways, here are some additional values less than 10^8: 75077, 162133,
> > 330929, 1256293, 1346269, 2662277, 3636121, 4226777, 9401893, 13455077,
> > 14787181, 16485493, 21692189, 24157817, 24493061, 25532501, 29604893,
> > 31432381, 39247393, 73780877, 75245777, 77337941.
> > >
> > > 75077 is the only additional composite < 10^5. In the remaining range,
> I
> > don't know if there are other solutions.
> > >
> >
> > Thank you Hans!
> >
> > CC: Neil,
> >
> > is here enough terms:
> > 4181, 10877, 75077
> > to submit it as as sequence of its own? (with keyword:more )
> > "Composite numbers n such that A001177(n) is prime."
> > (A subset of http://oeis.org/A233281 )
> > Again, people are free to invent better names/definitions.
> >
> >
> > BTW, All are members of various Lucas / Frobenius pseudoprimes sequences:
> > https://oeis.org/search?q=4181+10877+75077&sort=&language=&go=Search
> >
> >
> > As what comes to the name of A233281, Hans objected its current version:
> >
> > > "Numbers n such that the least Fibonacci number F_k which is a multiple
> > of n has a prime index, i.e. k is in A000040."
> > >
> > > For those of us who think 'multiple' means more than one, 'positive
> > multiple' (or an example) might have cleared this up.
> >
> > Actually, I considered also these alternative names:
> >
> > Numbers n such that the least p satisfying n|F_p (where F_p is p-th
> > Fibonacci number) is prime.
> >
> > Numbers n such that the least p satisfying F_p = x*n (where F_p is
> > p-th Fibonacci number) is prime.
> >
> > Numbers n such that the least k which satisfies {F_k = 0 mod n} is
> > prime, where F_k is k-th Fibonacci number.
> >
> > Numbers n such that the least Fibonacci number F_k which satisfies
> > {F_k = 0 mod n} is Fibonacci number F_k with a prime index k.
> >
> >
> > Vote for the best or suggest a better one?
> >
> >
> > Yours,
> >
> > Antti
> >
> > >
> > > On Feb 1, 2014, at 9:08 PM, Antti Karttunen <antti.karttunen at gmail.com
> >
> > wrote:
> > >
> > >>> http://oeis.org/A233281 that I recently submitted: "Numbers n such
> > that A001177(n) is prime."
> > >>> So far, only two composites there, 4181 and 10877, are known.
> > >
> > >
> >
> > _______________________________________________
> >
> > 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.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


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