# [seqfan] Re: Somebody knows this conjecture?

Claudio Meller claudiomeller at gmail.com
Thu Jan 13 23:48:59 CET 2011

```Yes Charles, is the same sequence.
Thank you, Claudio

2011/1/13 Charles Greathouse <charles.greathouse at case.edu>

> See A101462.  It looks like the conjecture dates at least to 2005.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
> On Thu, Jan 13, 2011 at 8:05 AM, Claudio Meller <claudiomeller at gmail.com>
> wrote:
> > Somebody knows this conjecture?
> >
> > In the blog "Numeros y hojas de calculo"
> > (
> http://hojaynumeros.blogspot.com/2011/01/alguien-sabe-algo-de-esto-1.html)
> > the author, Antonio Roldán Martinez, asks if anybody knows
> >
> > For example for p=2 q=2, for p=3 q=5, for p=5 q=3,for p=7 q=
> 549755813881,etc.
> >
> > The sequence a(n) = smallest prime q such p(n)+q = 2^n begins
> > 2,5,3,549755813881,5,3,47,13,41,3,97,2011 this sequence is not in the
> > OEIS.
> > This sequence is similar to A096822.
> > In this blog there is a table for p=2 to p= 211.
> > For p=223, q
> =3705346855594118253554271520278013051304639509300498049262642688253220148477729,
> > for p= 809, q=
> >
> >
> 285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380
> > 179637015411927, etc.
> >
> > Is this a known conjecture?
> >
> > Thank you
> > --
> > Claudio
> >
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> >
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> >
>
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--
Claudio
http://grageasdefarmacia.blogspot.com
http://todoanagramas.blogspot.com/
http://simplementenumeros.blogspot.com/

```