[seqfan] Re: A016910 (6n)^2 and twin primes

Olivier Gerard olivier.gerard at gmail.com
Mon Jun 16 23:34:39 CEST 2014

```Dear Mike,

This has already been done under https://oeis.org/A243941.

Olivier

On Mon, Jun 16, 2014 at 1:24 PM, Tw Mike <mt.kongtong at gmail.com> wrote:

> I'm trying to add the solutions to OEIS, see draft/A235644 , not sure if
> the data 1, 2, 2, 5, 5, 3, 6, 3, 6,  .... is correct.
> Yours mike,
>
>
> 2014-06-15 18:36 GMT+08:00 Olivier Gerard <olivier.gerard at gmail.com>:
>
> > =On Sat, Jun 14, 2014 at 4:47 PM, Tw Mike <mt.kongtong at gmail.com> wrote:
> >
> > > Dear seqfans,
> > >
> > > It is conjectured that  A016910(n) = p_1 + p_2 + p_3 + p_4, where (p_1,
> > > p_2) and (p_3, p_4) are twin prime pairs.
> > >
> > >
> > Let us be clear. Either you conjecture this by yourself, and you should
> say
> > so or
> > you read about someone else conjecturing and you should give the source.
> >
> >  For example:  A016910(1) = 36 = 5 + 7 + 11 + 13.
> > >
> >
> > Also you should check as much as possible before reporting it.
> >
> > In general, there seems to be many solutions for each n.
> >
> > For instance, before writing this email, I checked up to n=40 that there
> > was at least one solution for each n, I looked into the sequence of the
> > number of solutions
> > to check if it was recorded in the OEIS (it is not), etc.
> >
> >
> > > Are there some research or paper or progress of this conjecture?
> > >
> > >
> > As Giovanni already said, what your are discussing implies that there is
> > infinitely many twin primes.
> > You might read papers about this unsolved problem and also papers on
> > representations
> > of numbers by sums of primes, a very active topic, related to the
> Goldberg
> > conjecture and
> > its variants.
> >
> > Olivier
> >
> > _______________________________________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
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```