prime number distribution solved
houston
a bit of a pickle and because I was a regular poster here for some
years some my still remember me and know I'm not a "crank" I'm hitting
my head against a wall trying to get a mag such as new science to take
me seriously. I need to know what's the best way to approach the
problem of not sounding like a crank and letting them take you serious
about my discovery. I've managed to find the answer to the riddle of
the prime number distribution and I'm pulling my hair and teeth out in
frustration on getting it published... no matter who I contact It
falls on closed ears.. I know it must sound like a crank when somebody
tells you they've worked it out but the thing is I really have and I
do believe its of the greatest importance!!!
so please any body got any serious suggestion!
Thomas Richter
Post to sci.math.research.
You should know, however, that the prime number distribution is linked
to the Riemann conjecture, namely the (non-) existence of non-trivial
zeros of the zeta function in the critical strip with Re(zero) != 1/2.
Under this hypothesis, the distribution of primes is known to follow the
integral logarithm, Li(x), defined as the indefinite integral of
1/ln(x). Furthermore, there is also a best possible known bound on the
derivation of the distribution of primes from Li(x), and I do not see
this mentioned in your work.
If you want to be taken seriously, show the relation to other works. I
see no improvement in your work to solve this problem, which is known as
the prime-number distribution problem.
So long,
Thomas
houston
What work are you referring too? I've no work on prime numbers
anywhere on the internet?
houston.
Thomas Richter
> On 20 Oct, 07:56, Thomas Richter <t...@math.tu-berlin.de> wrote:
>
> What work are you referring too? I've no work on prime numbers
> anywhere on the internet?
In that case, sorry. I've seen a similar post on sci.math later, and I
guessed (apparently incorrectly) that it was also coming from you.
So long,
Thomas
nightlight
Namely, in a trivial sense the simple sieve already solves
"distribution of primes riddle" since it can compute function Pi(x),
returning the x-th prime. The problem is that such computation takes
time and/or space that grow at least as x/log(x) for large x. If your
solution doesn't provide the value for Pi(x) in computational time
_and_ space that grow at most as some power of log(x), it is trivial
and was probably already thought up many times.
Thomas Richter
The "distribution of primes problem" is usually understood to be the problem
of proving that the distribution of primes for large numbers is approximately equal
to Li(x), the integral logarithm. It can be shown to be true under the Riemann hypothesis,
one of the great unsolved problems (and, quite unlike Fermat, it is not an isolated problem
but its solution would have a major impact on mathematics).
So long,
Thomas
Wolfgang Ehrhardt
<th...@math.tu-berlin.de> wrote:
>The "distribution of primes problem" is usually understood to be the problem
>of proving that the distribution of primes for large numbers is approximately equal
>to Li(x), the integral logarithm. It can be shown to be true under the Riemann hypothesis,
>one of the great unsolved problems (and, quite unlike Fermat, it is not an isolated problem
>but its solution would have a major impact on mathematics).
??
Do you mean the Prime Number Theorem? pi(x) ~ Li(x) ~ x/ln(x)? This
does NOT depend on RH.
Wolfgang
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