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From: rom126 on 25 Mar 2010 12:04
Subj: A regular pattern found in the first 300Million Prime Sums using the log
of the golden ratio Lp! (Lp(X) = LOG(X) / LOG(1.618...))

------- Lp Results for the first 300 Million Primesums

The referenced Web Site has a Table that reveals a pattern in the Primesums.
It was found by summing the first 300 Million Primes
and noting their sums based on Lp unit increments.

This P^1 or Lp +1 snapshot perspective reveals
two more resonances at 3 and 4 Lp steps
that seem to slowly change predictably.

---------------------
The six column Table lists the step count,
the Prime at that step: PN, the PN/step ascending ratio,
the Sum of all Primes to that step and its Golden Ratio log Lp,
and the TOP Plane at that Sum.

Also noted was the minor PN/Step ratio takes four Lp steps
to increase by almost one.

--------------------------------------------
The reason the Lp's can not increase by exactly one,
is that Lp(primesum) steps from less than one to over one,
based on the last prime integer added.

For example, the Table's last four Lp+3 values 2 are:

Step:36475354 PN/Step:19.315144 PN:704526727 Sum:1.249653E16 its Lp:77.022687
& TOP plane:A26.004978

Step:73629340 PN/Step:20.057806 PN:1476842981 Sum:5.293618E16 its Lp:80.022688
& TOP plane:A27.004978

Step:148739879 PN/Step:20.799302 PN:3093685613 Sum:2.242412E17 its
Lp:83.022688 & TOP plane:A28.004978

Step:300679579 PN/Step:21.540163 PN:6476687027 Sum:9.499013E17 its
Lp:86.022688 & TOP plane:A29.004978

Where the Sum is 9.499013E17, its Lp is 86.0227~
And the PN/Step is 6476687027 / 300679579 = 21.540163 .

The last 3 step sums are mapped between 4 top planes
at scales A26, A27, A28 and A29 ; A29 is P^2 larger than A28.

See http://mister-computer.net/pixs/lp-sync1184.jpg
for the visual of these 4 top planes.

------------------- Conclusions

The Lp three step Pattern of the Prime Sums is clearly real and definitive;
its exact shape/structure remains unknown for now.

The near unit PN/Step ratio of four Lp steps, also seems to predict an unknown
for now.

----------------------Contact Information
See my site for the complete material; 300 million is the latest data set.
<A HREF="http://mister-computer.net/index.htm">WEB Site"</A>
RD OMeara Oak Park IL 18 Mar 2010


--
Regards from RD O'Meara


--
Yours truly RD email mr.computer(a)pobox.com

From: Skybuck Flying on 25 Mar 2010 13:13
The visualization looks interesting, some questions for you to answer and
clearify so that even a newby might understand it ;) :):

1. What are the cornerpoints ?

2. What are the lines ?

3. What are the points on the lines themselfes (where the inner shape
touches the outer shape).

4. What are zones ?

5. What are planes ?

6. Relating to all questions: is it 1D, 2D or 3D space or multi-dimensional
space ?

7. What are some zones pink ?

8. Why are there P's and A's ? What's the difference between them ?

Further notes:

1. The lines appear to be drawn by a computer, the rest is not however... I
know visualization can be hard... maybe you should give photoshop a try and
work with different layers to make a better picture ;)

2. Use little dashes to connection points or lines to labels like so:


.--- Point A
\
\
\--- Line A
\
. --- Point B
/
/-- Line B
/
.-- Point C

And so forth...

Bye,
Skybuck.




From: Globemaker on 26 Mar 2010 14:57
Hello RD,

I can create a 3D model of your prime sums using my GlobeMaker
Software. Just send me x y z coordinates of the 3D object. This data
should be in some kind of order and you should describe the order of
the points. Send the data under 4 megabytes to
venusglobe(a)cabanova.com

You can see examples of mu 3D visualization results at
http://venusglobe.cabanova.com/

If your data 3D object is not using x y z coordinates, please tell me
the format so I can convert it to x y z coordinates.
No monetary charge during March and April, 2010 since prime numbers
are interesting to me. I am curious to see the 3D shape and to
understand how it is calculated from sums of prime numbers divided by
a magic number.
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