2.5 Parsering
---+-----+-----
1 | 1 | 18
---+-----+-----
2 | 19 | 29
---+-----+-----
3 | {30}|{43}
---+-----+-----
139 = 34th prime =(2x17)th prime
Scheme 13:9
===========
(1){1}-7: 7'
(1){8}-13: 6‘
(1)14-{19}: 6‘
------------- 6+6 -------
(2)20-24: 5' |
(2)25-{29}: 5' |
------------ 5+5 -------
(3)30-36: 7:{70,30,10²}|
------------ |
(4)37-48: 12• --- |
(5)49-59: 11° | |
--}30° 30• |
(6)60-78: 19° | |
(7)79-96: 18• --- |
-------------- |
(8)97-109: 13 |
(9)110-139:{30}=5x6 <--x-
--
{43}
$True Prime Pairs:
(5,7), (11,13), (17,19)
layer| i | f
-----+-----+---------
| 1 | 5
1 +-----+
| 2 | 7
-----+-----+--- } 36 » 6®
| 3 | 11
2 +-----+
| 4 | 13
-----+-----+---------
| 5 | 17
3 +-----+ } 36 » 6®
| 6 | 19
-----+-----+---------
2.5.1 The imaginary
The consciousness is awaken through to the 13th central sphere of Metatron's Cube. The 13th sphere (the central circle) represents death and rebirth, endings and beginnings through all of Creation in all directions of time and space.
1155 / 5 = 286 - 55 = 200 + 31 = 231
layer| i | f
-----+-------+------
| 1,2:1 | (2,3)
1 +-------+
| 3:2 | (7)
-----+-------+------
| 4,6:3 | (10,11,12) <--- 231 (3x)
2 +-------+
|{7}:4 |({13})
-----+-------+------
| 8,9:5 | (14,{15}) <--- 231 (2x)
3 +-------+
| 10:6 | (19)
-----+-------+------
2.5.1.1 The limit shape
We study the limit shape of the generalized Young diagram when the tensor power N and the rank n of the algebra tend to infinity with N/n fixed. We derive an explicit formula for the limit shape and prove convergence to it in probability. We prove central limit theorem for global fluctuations around the limit shape (arXiv:2010.16383v4).
True Prime Pairs:
(5,7), (11,13), (17,19)
|------------------------- Skema-12 ------------------------|
|------------ 6¤ -------------|------------- 6¤ ------------|
|--------------------------- 192 ---------------------------|
|---- {23} ----|---- {49} ----|-- {29} -|--{30} --|-- 61 ---|
+----+----+----+----+----+----+----+----+----+----+----+----+
| 5 | 7 | 11 |{13}| 17 | 19 | 17 |{12}| 11 | 19 | 18 | 43 |
+----+----+----+----+----+----+----+----+----+----+----+----+
|--------- 5¤ ---------|---- {48} ----|----- {48} ---|{43}|
|--------- 5¤ ---------|------------ {96} -----------|{43}|
|--------- {53} ---------|-------------- {139} -------------|
|------- Skema-23 -------|------------- Skema-34 -----------|
Here we are talking about 19th as sequence follow backward position of 19 as per the scheme below where the 19th prime which is 67 goes 15 from 66 to 51.
The values p(1),,,,,,p(8)} of the partition function (1, 2, 3, 5, 7, 11, 15, and 22) can be determined by counting the Young diagrams for the partitions of the numbers from onr (1) to eight (8) (Wikipedia).
2.5.1.2 The eight (8) difference sequence
The Prime Spiral Sieve possesses remarkable structural and numeric symmetries. For starters, the intervals between the prime roots (and every subsequent row or rotation of the sieve) are perfectly balanced, with a period eight (8) difference sequence of: {6, 4, 2, 4, 2, 4, 6, 2} (Primesdemystified).
Tabulate Prime by Power of 10
loop(10) = π(10)-π(1) = 4-0 = 4
loop(100) = π(100)-π(10)-1th = 25-4-2 = 19
loop(1000) = π(1000) - π(100) - 10th = 168-25-29 = 114
-----------------------+----+----+----+----+----+----+----+----+----+-----
True Prime Pairs Δ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Sum
=======================+====+====+====+====+====+====+====+====+====+=====
19 → π(10) | 2 | 3 | 5 | 7 | - | - | - | - | - | 4th 4 x Root
-----------------------+----+----+----+----+----+----+----+----+----+-----
17 → π(20) | 11 | 13 | 17 | 19 | - | - | - | - | - | 8th 4 x Twin
-----------------------+----+----+----+----+----+----+----+----+----+-----
13 → π(30) → 12 (Δ1) | 23 | 29 | - | - | - | - | - | - | - |10th
=======================+====+====+====+====+====+====+====+====+====+===== 1st Twin
11 → π(42) | 31 | 37 | 41 | - | - | - | - | - | - |13th
-----------------------+----+----+----+----+----+----+----+----+----+----- 2nd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 | - | - | - | - | - |17th
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 | - | - | - | - | - | - |20th
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
3,2 → 18+13+12 → 43 | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th
=======================+====+====+====+====+====+====+====+====+====+=====
Δ Δ
12+13+(18+18)+13+12 ← 36th-Δ1=151-1=150=100+2x(13+12) ← 30th = 113 = 114-1
Speaking of the Fibonacci number sequence, there is symmetry mirroring the above in the relationship between the terminating digits of Fibonacci numbers and their index numbers equating to members of the array populating the Prime Spiral Sieve.
2.5.2 The balanced prime
These objects will then behave as a complex numbers that leads to trivial and complex roots of the 18th prime identity. Since the arithmetic mean of those primes yields 157 then the existence of 114 will remain to let this 18+19=37th prime number stands as the balanced prime.
286 - (231x5)/(11x7) = 286 - 1155/77 = 286 - 15 = 200 + 71 = 271
-----------------------+----+----+----+----+----+----+----+----+----+-----
True Prime Pairs Δ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Sum
=======================+====+====+====+====+====+====+====+====+====+=====
19 → π(10) | 2 | 3 | 5 | 7 | - | - | - | - | - | 4th 4 x Root
-----------------------+----+----+----+----+----+----+----+----+----+-----
17 → π(20) | 11 | 13 | 17 | 19 | - | - | - | - | - | 8th 4 x Twin
-----------------------+----+----+----+----+----+----+----+----+----+-----
13 → π(30) → 12 (Δ1) | 23 | 29 | - | - | - | - | - | - | - |10th ←------------ 10
=======================+====+====+====+====+====+====+====+====+====+===== 1st Twin
11 → π(42) | 31 | 37 | 41 | - | - | - | - | - | - |13th
-----------------------+----+----+----+----+----+----+----+----+----+----- 2nd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 | - | - | - | - | - |17th
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 | - | - | - | - | - | - |20th ←------------ 20
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
3,2 → 18+13+12 → 43 | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th ------------→ 30
=======================+====+====+====+====+====+====+====+====+====+===== bilateral 9 sums
3,2 → 18+13+12 → 43 | 73 | 79 | 83 | 89 | 97 | 101| 103| 107| 109|29th ------------→ 30
=======================+====+====+====+====+====+====+====+====+====+===== 4th Twin
5 → π(72) → 18 (Δ13) | 61 | 67 | 71 | - | - | - | - | - | - |20th ←------------ 20
-----------------------+----+----+----+----+----+----+----+----+----+----- 3rd Twin
7 → π(60) → 19 (Δ12) | 43 | 47 | 53 | 59 | - | - | - | - | - |17th
| ----------- 5 -----------
| | |
↓ ↑ ↓
| 2' | 3' | 5' | 7' |
|--------------|-------------------|------------------------------|------------------------------|
| lexering = π(1000) | parsering = 1000/Φ |
|--------------|-------------------|------------------------------|------------------------------|
| mapping | feeding | syntaxing | grammaring |
+----+----+----+----+----+----+----+----+----+-----+----+----+----+----+----+-----+----+----+----+
| 30 | 31 | 32 | 33 | 34 | 35 | 36 | 37 | 38 | 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | 47 | 48 |
+----+----+----+----+----+----+----+----+----+-----+----+----+----+----+----+-----+----+----+----+
| 2 | 60 | 40 | 1 | 30 | 30 | 5 | 1 | 30 | 200 | 8 | 40 | 50 | 1 | 30 | 200 | 8 | 10 | 40 |
+----+----+----+----+----+----+----+----+----+-----+----+----+----+----+----+-----+----+----+----+
↓ ↑ | |
| | | |
------------ 10 ------------- | |
↓ ↓ |
+----+----+----+
| 2 | 60 | 40 |
+----+----+----+
| | |
2+100 ◄-
-----------------------+----+----+----+----+----+----+----+----+----+----- |
True Prime Pairs Δ | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | Sum |
=======================+====+====+====+====+====+====+====+====+====+===== ↓
19 → π(10) | 2 | 3 | 5 | 7 | - | - | - | - | - | 4th ◄- 4 = π(10)
-----------------------+----+----+----+----+----+----+----+----+----+-----
2.5.2.1 Replicate position
It will be forced back to Δ19 making a cycle that bring back the 12 to → 13 of 9 collumns and replicate The Scheme 13:9 through (i=9,k=13)=9x3=27 with entry form of (100/50=2,60,40) as below:
| 1st (Form) | 2nd (Route) | 3rd (Channel) |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
150 | 151| 152| 153| 154| 155| 156| 157| 158| 159| 160| 161| 162| 163| 164| 165| 166| 167| 168|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+
Δ1 | 19 | - | 31 | 37 | - | - | - | - | - | - | - | - | - | - | 103| - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ2 | 20 | 26 | - | 38 | - | - | - | - | - | 74 | - | - | - | 98 | 104| - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ3 | 21 | 27 | - | 39 | - | - | - | - | - | 75 | - | - | - | 99 | 105| - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ4 | 22 | 28 | - | 40 | - | - | - | - | - | 76 | - | - | - |100 | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ5 | 23 | 29 | - | 41 | - | - | - | - | - | 77 | - | - | - |101 | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ6 | 24 | - | - | 42 | - | 54 | - | - | 72 | 78 | - | 90 | 96 | - | - | - | - | 114|
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+
Δ7 | 25 | - | - | 43 | - | 55 | - | - | 73 | 79 | - | 91 | 97 | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ8 | - | - | - | 44 | - | 56 | - | - | - | 80 | - | 92 | - | - | - | - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ9 | - | - | - | 45 | - | 57 | - | - | - | 81 | - | 93 | - | - | - | - | - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ10 | - | - | - | 46 | 52 | 58 | - | 70 | - | 82 | 88 | 94 | - | - | - | - | 112| - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ11 | - | - | - | 47 | 53 | 59 | - | 71 | - | 83 | 89 | 95 | - | - | - | - | 113| - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+ T
Δ12 | - | - | - | 48 | - | 60 | 66 | - | - | 84 | - | - | - | - | - | 108| - | - | H
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+ E
Δ13 | - | - | - | 49 | - | 61 | 67 | - | - | 85 | - | - | - | - | - | 109| - | - |
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+ P
Δ14 | - | - | 32 | 50 | - | 62 | 68 | - | - | 86 | - | - | - | - | - | 110| - | - | O
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+ W
Δ15 | - | - | 33 | 51 | - | 63 | 69 | - | - | 87 | - | - | - | - | - | 111| - | - | E
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+ R
Δ16 | - | - | 34 | - | - | 64 | - | - | - | - | - | - | - | - | 106| - | - | - |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+ O
Δ17 | - | - | 35 | - | - | 65 | - | - | - | - | - | - | - | - | 107| - | - | - | F
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | -| - | - | - | ∑=168
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16| 17| 18 | 19 | V
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+ S
| Δ Δ | Φ12 | Δ Δ |
113 150 ≜114-25 557 619 = 1+618
By the prime hexagon this number 114 located on 6th row vs 19th column whereas 114th prime = 619 = 618+1. Since DNA Recombination is happen when two (2) chromosomes involve then they start the position as below:
| by the 1st chromosome | by the 2nd
+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
Δ18 | - | 30 | 36 | - | - | - | - | - | - | - | - | - | - |102 | -| - | - | - | 30 | 36 | - |
=====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+====+
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16| 17| 18 | 19 | 20 | 21 | 22 |
-----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+----+
| Δ Δ | Φ12 | Δ Δ |
113 150 ≜114-25 557 619 = 1+618
2.5.2.2 Opposite prime position
In the second opposing member, the position 19 in the second term gives a redundant value of the template 7 of 7 × 7 = 49. The opposite prime position 11 as a prime number is now forced to determine a new axis-symmetrical zero position.
2.5.3 Direction grammar
2.5.4 The runner composition
2.5.5 The concatenation
The 77 is equal to the sum of the first eight (8) primes. The square of 77 is 5929, the concatenation of two primes, 59 and 29. The concatenation of all palindromes from one up to 77 is prime (Prime Curios! ).
Prime numbers that end with "77" occur more often than any other 2-digit ending among the first one million primes. The sum of the proper divisors of 77 equals 19 and the sum of primes up to 19 equals 77. Does this ever happen again?