[seqfan] Re: A Fibonacci-related sequence inspired by Wall-Sun-Sun primes

Felix Fröhlich felix.froe at googlemail.com
Fri Dec 19 21:31:34 CET 2014


Okay, I am going to submit the sequence as soon as I have a free draft slot
available.

Thanks for the encouragement,

Felix

2014-12-19 20:20 GMT+01:00 Neil Sloane <njasloane at gmail.com>:

> Felix, Sure, go ahead and submit it!  Thank you.
>
> 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, Dec 19, 2014 at 2:02 PM, Felix Fröhlich <felix.froe at googlemail.com
> >
> wrote:
> >
> > Hello sequence fans,
> >
> > the following sequence is inspired by Wall-Sun-Sun primes (see
> > http://en.wikipedia.org/wiki/Wall–Sun–Sun_prime):
> >
> > a(n) = smallest composite c such that p = prime(n) satisfies F_c-(c/p)
> == 0
> > (mod c), where F_k denotes the k-th Fibonacci number and c/p denotes the
> > Kronecker symbol. The sequence begins
> >
> > 12, 12, 25, 168, 660, 323, 377, 442, 552, 442, 323, 1891, 442, 323, 323,
> > 323, 377, 323, 377, 323, 323, ....
> >
> > I used the following PARI program to compute the terms:
> >
> > forprime(p=1, 1000, c=2; while(Mod(fibonacci(c-kronecker(c, p)), c)!=0 ||
> > ispseudoprime(c), c++); print1(c, ", "))
> >
> > Is this sequence interesting enough to be submitted?
> >
> > Best regards,
> >
> > Felix
> >
> > _______________________________________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
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