The message below got stuck in the ether for over a day, and surely the Higgs boson had something to do with it. Anyways, Bernhard has since clarified things for me privately and I should be better now.

Mark

--- In primenumbers@yahoogroups.com, "Mark" <mark.underwood@...> wrote:

>

>

> Hello Bernhard,

>

> Looking at table 4a, it seems to present column c as the number of primes up to 2^n, and column d as the number of primes of the form x^2+1 up to 2^n. But the numbers can't be correct so am I misunderstanding something?

>

> I'm looking at the small table 5b where it seems you extrapolate the number of primes of the form x^2+1 which are between 2^n and 2^(n+1). The number of such primes is decreasing as n increases, but it seems to me it should be going up.

>

>

> You wrote in the conclusion,

>

> "The density of the distribution of the primes p=x^2+1 goes surely to zero.

> Supposing that the exploration of the second scenario is rigth, it could be supposed that the primes of the form x^2+1 are limited."

>

> Are you saying that the number of primes of the form x^2+1 appears to be finite?

>

> Thanks,

>

> Mark

>

>

>

> --- In primenumbers@yahoogroups.com, "bhelmes_1" <bhelmes@> wrote:

> >

> > A beautiful day,

> >

> > There are some results for primes concerning the polynom f(n)=n^2+1

> >

> > 109.90.3.58/devalco/quadr_Sieb_x^2+1.htm

> >

> > Besides some nice algorithms how to calculate these primes,

> > there are results for n up to 2^40

> >

> > You will find some nice graphics and some calculations.

> >

> > Mathematical feedback is welcome :-)

> >

> > Greetings from the primes

> > Bernhard

> >

>