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Review of AP's superior prime predictor over that of Ulam's Prime Spiral

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  Review of AP's superior prime predictor over that of Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 14:07 -0700
    Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 21:24 +0000
      Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test me <dvhaus.dresden@gmail.com> - 2018-10-07 14:40 -0700
    still looking for that Prime Fingerprint Re: Review of AP's superior prime predictor over that of Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 19:53 -0700
      nice progress on a prime fingerprint Re: still looking for that Prime Fingerprint Re: Review of AP's superior prime predictor over that of Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 21:45 -0700
        Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-08 13:53 +0000

#425127 — Review of AP's superior prime predictor over that of Ulam's Prime Spiral

Well, to be honest, I do not have a prime predictor, as of yet, for I have no fast way of actually determining if an odd number is prime or not prime. But then again, neither does Ulam device. For if either Ulam or AP were handed a odd number which has 603 digits in that odd number, Ulam would have to make a horribly long spiral that would consume his entire lifetime and never get there to this number. While AP, would have to go hunting through a Column of numbers and absorb more than a lifetime in that of inspection.

So, at this moment in time neither the Ulam nor the AP devices are really practical.

But, I hope to change that picture for the AP columns, that we can instantly tell if a odd number is composite or prime. That is my goal. And that is what I hope the Primitive Pythagorean Triples PPT, will come to the aid and rescue of AP's device.

Hand AP a 603 digit odd number, and within 5 minutes, I must be able to confidentially tell you-- it is prime or it is odd composite.

That is the goal.

Now, with the aid of a computer, the AP device is give me that 603 digit odd number call it S and I form the PPT of S

For example if S were 9, then I need its Front Increment

2 x 3 = 6
3 x 5 = 15
4 x 7 = 28
5 x 9 = 45

the Front Increment is the Counting Numbers for the odd number in question

So for S, I compute the Frontal Increment and that number tells me where the nearby PPT of 2*a*b and b^2+a^2 are.

Taking the square of S and then splitting it into two numbers separated by 1 is the B,C of the PPT of A,B,C.

For 9 the frontal increment was 5 and so the 5x9 tells us 45 is where we should find in that neighborhood of B,C. The square of 9 is 81 and so divided in half is 40 with 41.

So, within minutes a computer should be able to do the A,B,C of a PPT whose B,C are separated by 1 and whose A is the number at inspection, our S number.

Now, we know various elements of the S number in the AP Column for if we divide S by 2 we have the endpoint of the Column and the endpoint is two numbers also separated by 1. In the case of 9 it is 5,4.

So, what AP hopes to achieve, is some data, some information something about the AP Column of S, that almost instantly tells me, S is prime or S is odd composite.

Could I tell that 9 was odd composite by looking at 5, 4 ? Perhaps. Because 5, 4 when multiplied is 20 and multiplication is unique to AP Columns. The PPT of 9 is 9, 40, 41

The prime number 11, PPT is 11,60,61 the endpoint of 11 in the AP Column of 11 is 6,5 and 6*5 is 30, also 1/2 of 60.

So, I have a lot of numbers to play around with that hopefully finds a "neon light signal on a prime, versus a odd composite" without having to wade through a 603 digit odd number.

Very crude dot picture of 5f6, 94TH 
ELECTRON=muon DOT CLOUD of 231Pu 


                ::\ ::|:: /:: 
                 ::\::|::/:: 
                     _ _ 
                    (:Y:) 
                     - - 
                 ::/::|::\:: 
                ::/ ::|:: \:: 
One of those dots is the Milky Way galaxy. And each dot represents another galaxy. 
            . \ .  . | .   /. 
           . . \. . .|. . /. . 
              ..\....|.../... 
               ::\:::|::/:: 
---------------      ------------- 
--------------- (Y) ------------- 
---------------      -------------- 
               ::/:::|::\:: 
              ../....|...\... 
           . . /. . .|. . \. . 
            . / .  . | .   \ . 

  
http://www.iw.net/~a_plutonium/ 
whole entire Universe is just one big atom 
where dots of the electron-dot-cloud are galaxies 

I re-opened the old newsgroup PAU of 1990s and there one can read my recent posts without the hassle of spammers, off-topic-misfits, front-page-hogs, stalking mockers, suppression-bullies, and demonizers.      

Read my recent posts in peace and quiet.

https://groups.google.com/forum/?hl=en#!forum/plutonium-atom-universe         
Archimedes Plutonium

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#425132 — Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test

Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails:

>Moroney says: Racist Physicists, Barry Barish, Kip Thorne, Rainer Weiss,
>John M. Kosterlitz, F Duncan M. Haldane, David J. Thouless, Arthur B.
>McDonald, Takaaki Kajita// fail in Chemistry bonding for it cannot exist
>when proton=938MeV, electron=.5MeV

I think you need to see the ellipse proof again.


Some preliminaries:

Top view of the conic section and depiction of the coordinate system used 
in the proof:

              ^ x
              |
             -+- <= x=h
         .'   |   `.
        .     |     .
        |     |     |
        '     |     '      
         `.   |   .'
 y <----------+ <= x=0
             
Cone (side view):
                 .
                /|\
               / | \
              /b |  \
             /---+---' <= x = h
            /    |'   \
           /   ' |     \
          / '    |      \
x = 0 => '-------+-------\
        /    a   |        \

Proof:

r(x) = a - ((a-b)/h)x  and  d(x) = a - ((a+b)/h)x,  hence

y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2.

Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1  ...equation of an ellipse

qed

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#425134 — Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test

Am Sonntag, 7. Oktober 2018 23:24:37 UTC+2 schrieb Michael Moroney:

This is cruelty! :-)

(Of course, he really does deserve it!)

> I think you need to see the ellipse proof again.
> 
> Some preliminaries:
> 
> Top view of the conic section and depiction of the coordinate system used 
> in the proof:
> 
>               ^ x
>               |
>              -+- <= x=h
>          .'   |   `.
>         .     |     .
>         |     |     |
>         '     |     '      
>          `.   |   .'
>  y <----------+ <= x=0
>              
> Cone (side view):
>                  .
>                 /|\
>                / | \
>               /b |  \
>              /---+---' <= x = h
>             /    |'   \
>            /   ' |     \
>           / '    |      \
> x = 0 => '-------+-------\
>         /    a   |        \
> 
> Proof:
> 
> r(x) = a - ((a-b)/h)x  and  d(x) = a - ((a+b)/h)x,  hence
> 
> y(x)^2 = r(x)^2 - d(x)^2 = ab - ab(2x/h - 1)^2 = ab(1 - 4(x - h/2)^2/h^2.
> 
> Hence (1/ab)y(x)^2 + (4/h^2)(x - h/2)^2 = 1  ...equation of an ellipse
> 
> qed

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#425158 — still looking for that Prime Fingerprint Re: Review of AP's superior prime predictor over that of Ulam's Prime Spiral

What I need is a FINGERPRINT of a prime versus odd composite. Some telltale signal or sign that the AP column of a odd number is either prime or is odd composite. This may not come easy, and, it may not come at all. But I have some confidence that it exists, and the reason being, is that the PPT are so rich in numbers, that it is likely primes have a Signal that they are prime.

On Sunday, October 7, 2018 at 4:08:06 PM UTC-5, Archimedes Plutonium wrote:
> Well, to be honest, I do not have a prime predictor, as of yet, for I have no fast way of actually determining if an odd number is prime or not prime. But then again, neither does Ulam device. For if either Ulam or AP were handed a odd number which has 603 digits in that odd number, Ulam would have to make a horribly long spiral that would consume his entire lifetime and never get there to this number. While AP, would have to go hunting through a Column of numbers and absorb more than a lifetime in that of inspection.
> 
> So, at this moment in time neither the Ulam nor the AP devices are really practical.
> 
> But, I hope to change that picture for the AP columns, that we can instantly tell if a odd number is composite or prime. That is my goal. And that is what I hope the Primitive Pythagorean Triples PPT, will come to the aid and rescue of AP's device.
> 
> Hand AP a 603 digit odd number, and within 5 minutes, I must be able to confidentially tell you-- it is prime or it is odd composite.
> 
> That is the goal.
> 
> Now, with the aid of a computer, the AP device is give me that 603 digit odd number call it S and I form the PPT of S
> 

Now , someone can do the calculations, on whether humanity can ever list all the primes from 0 to 1*10^604, every single last one of them. Perhaps it is impossible for the Universe where humans live has not the time to determine nor even write out all these numbers. Perhaps Earth and humanity will be gone, long before it is possible to list all the primes to 1*10^604.

But if it is possible to determine very rapidly whether a odd number is prime or composite, then there is better hope that one day all the primes that exist in mathematics can be listed. And put an end to the slew of obnoxious conjectures surrounding primes.

> For example if S were 9, then I need its Front Increment
> 
> 2 x 3 = 6
> 3 x 5 = 15
> 4 x 7 = 28
> 5 x 9 = 45
> 
> the Front Increment is the Counting Numbers for the odd number in question
> 
> So for S, I compute the Frontal Increment and that number tells me where the nearby PPT of 2*a*b and b^2+a^2 are.
> 
> Taking the square of S and then splitting it into two numbers separated by 1 is the B,C of the PPT of A,B,C.
> 
> For 9 the frontal increment was 5 and so the 5x9 tells us 45 is where we should find in that neighborhood of B,C. The square of 9 is 81 and so divided in half is 40 with 41.
> 
> So, within minutes a computer should be able to do the A,B,C of a PPT whose B,C are separated by 1 and whose A is the number at inspection, our S number.
> 
> Now, we know various elements of the S number in the AP Column for if we divide S by 2 we have the endpoint of the Column and the endpoint is two numbers also separated by 1. In the case of 9 it is 5,4.
> 
> So, what AP hopes to achieve, is some data, some information something about the AP Column of S, that almost instantly tells me, S is prime or S is odd composite.
> 

3, 4,5

5, 12,13

7, 24, 25

9,40,41 

11, 60,61

13, 84,85

15,112,113 

17, 144,145

19, 180,181

21,220,221 

23, 264,265

25, 312,313

27, 364, 365

29, 420,421

31, 480,481

I am focused on something about primes that causes them to have a neon sign in the AP Columns


> Could I tell that 9 was odd composite by looking at 5, 4 ? Perhaps. Because 5, 4 when multiplied is 20 and multiplication is unique to AP Columns. The PPT of 9 is 9, 40, 41
> 
> The prime number 11, PPT is 11,60,61 the endpoint of 11 in the AP Column of 11 is 6,5 and 6*5 is 30, also 1/2 of 60.
> 
> So, I have a lot of numbers to play around with that hopefully finds a "neon light signal on a prime, versus a odd composite" without having to wade through a 603 digit odd number.
> 

Looking at 19 column

19  0
18  1
17  2
16  3
15  4
14  5
13  6
12  7
11  8
10  9

Looking at 21 Column

21  0
20  1
19   2
18   3
17   4
16   5
15   6
14   7
13   8
12   9
11   10

contrast that with 23 column

23   0
22   1
21   2
20  3
19   4
18   5
17   6
16   7
15   8
14   9
13   10
12   11

We see Outright Division in 21, as 18/3, 14/7, and we see two NonCoprime Reduce to Lowest Terms 15/6, 12/9

We see none of that in 19 nor 23.


19, 180,181

21,220,221 

23, 264,265

Still looking

AP

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#425162 — nice progress on a prime fingerprint Re: still looking for that Prime Fingerprint Re: Review of AP's superior prime predictor over that of Ulam's Prime Spiral

Nice, nice progress, not fabulous but just nice. Fabulous would be a instant key to recognize a prime odd number from a composite odd. But I think this is the closest or nearest any human has come before.

Consider the most simple of odd composites, which would comprise just one prime factor, such as 9 or 25 or 49.

Let us pick 25 and its Column

25  0
24  1
23  2
22  3
21  4
20  5
19  6
18  7
17  8
16  9
15  10
14  11
13  12

Now notice there are one Outright Divisions of 20/5 and there is one Reduce to Lower Terms of 15/10

Notice the two divisions, one is near the top and the other near the bottom.

So, to tell if a odd number is prime or composite, we need only run part way up the bottom up and part way from the top down for search of a NonCoprime. This would be far far easier than anything on the math market today of telling if a odd number is prime or not. And I suspect we can build computer programs that run up and run down a Column in search of a NonCoprime.

Columns give so much more meaning to the concept of Coprime than anything before in mathematics.

AP

On Sunday, October 7, 2018 at 9:53:59 PM UTC-5, Archimedes Plutonium wrote:
> What I need is a FINGERPRINT of a prime versus odd composite. Some telltale signal or sign that the AP column of a odd number is either prime or is odd composite. This may not come easy, and, it may not come at all. But I have some confidence that it exists, and the reason being, is that the PPT are so rich in numbers, that it is likely primes have a Signal that they are prime.
> 
> On Sunday, October 7, 2018 at 4:08:06 PM UTC-5, Archimedes Plutonium wrote:
> > Well, to be honest, I do not have a prime predictor, as of yet, for I have no fast way of actually determining if an odd number is prime or not prime. But then again, neither does Ulam device. For if either Ulam or AP were handed a odd number which has 603 digits in that odd number, Ulam would have to make a horribly long spiral that would consume his entire lifetime and never get there to this number. While AP, would have to go hunting through a Column of numbers and absorb more than a lifetime in that of inspection.
> > 
> > So, at this moment in time neither the Ulam nor the AP devices are really practical.
> > 
> > But, I hope to change that picture for the AP columns, that we can instantly tell if a odd number is composite or prime. That is my goal. And that is what I hope the Primitive Pythagorean Triples PPT, will come to the aid and rescue of AP's device.
> > 
> > Hand AP a 603 digit odd number, and within 5 minutes, I must be able to confidentially tell you-- it is prime or it is odd composite.
> > 
> > That is the goal.
> > 
> > Now, with the aid of a computer, the AP device is give me that 603 digit odd number call it S and I form the PPT of S
> > 
> 
> Now , someone can do the calculations, on whether humanity can ever list all the primes from 0 to 1*10^604, every single last one of them. Perhaps it is impossible for the Universe where humans live has not the time to determine nor even write out all these numbers. Perhaps Earth and humanity will be gone, long before it is possible to list all the primes to 1*10^604.
> 
> But if it is possible to determine very rapidly whether a odd number is prime or composite, then there is better hope that one day all the primes that exist in mathematics can be listed. And put an end to the slew of obnoxious conjectures surrounding primes.
> 
> > For example if S were 9, then I need its Front Increment
> > 
> > 2 x 3 = 6
> > 3 x 5 = 15
> > 4 x 7 = 28
> > 5 x 9 = 45
> > 
> > the Front Increment is the Counting Numbers for the odd number in question
> > 
> > So for S, I compute the Frontal Increment and that number tells me where the nearby PPT of 2*a*b and b^2+a^2 are.
> > 
> > Taking the square of S and then splitting it into two numbers separated by 1 is the B,C of the PPT of A,B,C.
> > 
> > For 9 the frontal increment was 5 and so the 5x9 tells us 45 is where we should find in that neighborhood of B,C. The square of 9 is 81 and so divided in half is 40 with 41.
> > 
> > So, within minutes a computer should be able to do the A,B,C of a PPT whose B,C are separated by 1 and whose A is the number at inspection, our S number.
> > 
> > Now, we know various elements of the S number in the AP Column for if we divide S by 2 we have the endpoint of the Column and the endpoint is two numbers also separated by 1. In the case of 9 it is 5,4.
> > 
> > So, what AP hopes to achieve, is some data, some information something about the AP Column of S, that almost instantly tells me, S is prime or S is odd composite.
> > 
> 
> 3, 4,5
> 
> 5, 12,13
> 
> 7, 24, 25
> 
> 9,40,41 
> 
> 11, 60,61
> 
> 13, 84,85
> 
> 15,112,113 
> 
> 17, 144,145
> 
> 19, 180,181
> 
> 21,220,221 
> 
> 23, 264,265
> 
> 25, 312,313
> 
> 27, 364, 365
> 
> 29, 420,421
> 
> 31, 480,481
> 
> I am focused on something about primes that causes them to have a neon sign in the AP Columns
> 
> 
> > Could I tell that 9 was odd composite by looking at 5, 4 ? Perhaps. Because 5, 4 when multiplied is 20 and multiplication is unique to AP Columns. The PPT of 9 is 9, 40, 41
> > 
> > The prime number 11, PPT is 11,60,61 the endpoint of 11 in the AP Column of 11 is 6,5 and 6*5 is 30, also 1/2 of 60.
> > 
> > So, I have a lot of numbers to play around with that hopefully finds a "neon light signal on a prime, versus a odd composite" without having to wade through a 603 digit odd number.
> > 
> 
> Looking at 19 column
> 
> 19  0
> 18  1
> 17  2
> 16  3
> 15  4
> 14  5
> 13  6
> 12  7
> 11  8
> 10  9
> 
> Looking at 21 Column
> 
> 21  0
> 20  1
> 19   2
> 18   3
> 17   4
> 16   5
> 15   6
> 14   7
> 13   8
> 12   9
> 11   10
> 
> contrast that with 23 column
> 
> 23   0
> 22   1
> 21   2
> 20  3
> 19   4
> 18   5
> 17   6
> 16   7
> 15   8
> 14   9
> 13   10
> 12   11
> 
> We see Outright Division in 21, as 18/3, 14/7, and we see two NonCoprime Reduce to Lowest Terms 15/6, 12/9
> 
> We see none of that in 19 nor 23.
> 
> 
> 19, 180,181
> 
> 21,220,221 
> 
> 23, 264,265
> 
> Still looking
> 
> AP

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#425190 — Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test

Math Failure Archimedes Plutonium <plutonium.archimedes@gmail.com> fails:

>AP wrote:

>Don't you think Dr. Gell-Mann knows all that and far better than your 
>crank dull mind. 

Well he certainly knows better than _your_ crank dull mind! He knows muons
only last about 2.2 microseconds!

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