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still think it all hinges on 2*a*b Re: Formats to eliminate odd composites 9+6N // AP wants to do one better on Ulam's Prime Spiral

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On Wednesday, October 3, 2018 at 12:41:57 PM UTC-5, Archimedes Plutonium wrote:
> On Wednesday, October 3, 2018 at 12:17:46 PM UTC-5, Archimedes Plutonium wrote:
> > I wonder if a trick can slay this odd composite trouble with 9+6N
> > 
> > 9, 15, 21, 27, 33, 39, 45, 51, 57, 63,,,etc
> > 
> > Which eliminates at least one and most often two odd composites within every group of ten numbers.
> > 
> > Now another such form 77 + 11N
> > 
> > 77, 99, 121, 143,   Etc
> > 
> > I need one in between 9 and 11
> > 
> 
> This tool, this odd composite slayer 9+6N is a beautiful tool, but not sure it is enough, for within every group of 20 consecutive numbers, it slays three odd composites. We already have the ..5 slayer tool so within 20 numbers we remove four of the ten odd numbers, leaving us with 6 odd numbers to question of prime or not prime.
> 
> In PPT there are no 2 +4N form, the 2,6, 10,14, 18,22,26, etc
> 
> I wonder if that form can help the Odd Composite form
> 

Looks like I need to connect PPT with Form numbers. 

9 + 6N this gets rid of all odd composites with a 3 factor. 

I need not get rid of odd composites with a 5 factor for immediately, all ending in digit ...5 are composites

So, I took care of ....3  and ....5

Now take care of .....7

Since 3*3 is where we Slay all ...3, then by logic we look to 7*7=49 to slay all ....7

49+14N

Why 14N ?

Because in 9,15,21, etc we use 6 because it is 2*3

So for ....7 we use 2*7

49+14N delivers

49, 63, 77, 91, 105, 119, 133, etc

Next, we eliminate all Odd Composites with a 11 factor

11*11 = 121, and using 2*11 = 22

121+22N

121, 143, 165, 187, etc

So, why bother with this? For given any arbitrary large odd number, why not just divide by 3, or 7 to see if composite.

Why bother? We bother because the PPT maybe able to distinguish odd composite from prime odd.

9,40,41

15,112,113

21,220,221

27,364,365

If I can directly link up the NUMBER FORM with PPT we have an instantaneous prime predicator.

The 9,40,41 quadrapole is 9,40,41, 49 quinapole is 9,40,41,49, 81

The 15,112,113 quadrapole is 15,112,113,127 quinapole is 15,112,113,127,225

Nearby primes are 11,60,61 quadrapole 11,60,61,71 quinapole is 11,60,61,71,121  and 13,84,85 quadrapole 13,84,85,97 quinapole 13,84,85,97, 169

You see, I need to have a TEST of PPT that instantly tells me if A is prime A,B,C,D,E

Is there something that instantly recognizes odd composites?

Would it be square roots?

Is that even term 2*a*b, the key term? The term 40 in 9,40,41,49,81 compare to 60 in 11,60,61,71,121

What tells me how many factors a odd number has?

15 for example is 3*5, can I pry that information out by square root? Not on 15 alone but on its PPT 15,112,113 or its quinapole 15,112,113,127,225

Now if 15 were prime, then 225 should be biprime, and no more. Likewise if 9 were prime, then 81 should be biprime and no more.

Still think it all hinges on B, the 2*a*b.

AP

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4.3- nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-09-30 23:31 -0700
  Re: 4.3- nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-01 00:02 -0700
    research taken a new turn-- Heavily Dense Composites predicting future primes//nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-01 15:31 -0700
    stuck on 67// nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-01 23:45 -0700
      forced primes Re: stuck on 67// nested Primitive Pythagorean Triples// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-02 23:57 -0700
        Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 00:36 -0700
          Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 00:44 -0700
            Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:02 -0700
              Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:27 -0700
                Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:34 -0700
                Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:41 -0700
                Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 01:51 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 02:04 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 02:11 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 02:24 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 02:31 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 05:06 -0700
                Re: Perhaps found a pattern//forced primes Re: stuck on 67// AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 10:17 -0700
                Formats to eliminate odd composites 9+6N // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 10:41 -0700
                still think it all hinges on 2*a*b Re: Formats to eliminate odd composites 9+6N // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 14:11 -0700
                summary at this point-- good-- but all depends on differentiation // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 15:24 -0700
                the fingerprint of being prime // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 19:16 -0700
                One of AP's most beautiful proofs to date-- the entire Pattern of Primes Re: the fingerprint of being prime // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-03 23:32 -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 03:31 +0000
                Re: One of AP's most beautiful proofs to date-- and a waste. eastside.erik@gmail.com - 2018-10-06 21:31 -0700
                Re: One of AP's most beautiful proofs to date-- and a waste. James Waldby <not@valid.invalid> - 2018-10-08 04:32 +0000
                Re: One of AP's most beautiful proofs to date-- and a waste. Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 21:59 -0700
                concept of prime should include concept of coprime Re: One of AP's most beautiful proofs to date-- Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 22:35 -0700
                Re: concept of prime should include concept of coprime Re: One of AP's most beautiful proofs to date-- Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 22:41 -0700
                Re: One of AP's most beautiful proofs to date-- the entire Pattern of Primes Re: the fingerprint of being prime // AP wants to do one better on Ulam's Prime Spiral qbwrfmlx@gmail.com - 2018-10-06 22:40 -0700
                bean counter gives a test Re: One of AP's most beautiful proofs to date-- the entire Pattern of Primes Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-07 22:28 -0700
                Re: bean counter gives a test Re: One of AP's most beautiful proofs to date-- the entire Pattern of Primes qbwrfmlx@gmail.com - 2018-10-07 22:43 -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 13:58 +0000
                AP's tool to determine if prime or composite-- Odd Rectangles Re: the fingerprint of being prime // AP wants to do one better on Ulam's Prime Spiral Archimedes Plutonium <plutonium.archimedes@gmail.com> - 2018-10-08 14:12 -0700
                Re: Archimedes "Village Idiot" Plutonium flunked the Math Test of a lifetime-generation test moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-09 06:58 +0000

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