# algorithm

combined. By this 1000 primes then 168-150=Δ18 is raised on the next turn.

``````\$True Prime Pairs:
layer | node | sub |  i  |  k  |  f
------+------+-----+-----+-----+-----
|      |     |  1  | 1,2 |  2,3 ← 2x = (13-11)x ---
|      |  1  +-----+-----+                         |
|  1   |     |  2  |  3  |  7                      |
|      |-----+-----+-----+                         |
|      |     |  3  | 4,6 |  10,11,12 --            |
1   +------+  2  +-----+-----+             |           |
|      |     |  4  |  7  |  13         5x ---      |
|      +-----+-----+-----+             |     |     |
|  2   |     |  5  | 8,9 |  14,15 -----      |     |
|      |  3  +-----+-----+                   |     |
|      |     |  6  |  10 |  19               |     |
------+------+-----+-----+-----+--------           7x + 6x = 13x
|      |     |  7  |  11 |  20               |     |
|      |  4  +-----+-----+                   |     |
|  3   |     |  8  |  12 |  26  -----        |     |
|      +-----+-----+-----+           |       |     |
|      |     |  9  |  13 |  27       2x -----      |
2   +------|  5  +-----+-----+           |             |
|      |     |  10 |  14 |  28 -----               |
|      |-----+-----+-----+                         |
|  4   |     |  11 |15,18|  29,30,31,32 ←---4x----
|      |  6  +-----+-----+
|      |     |  12 |  19 |  36
------+------+-----+-----+-----+-------
|      |     |  13 |  20 | {38}
|      |  7  +-----+-----+
|  5   |     |  14 |21,22| {40,41} = (19-17)x ----
|      |-----+-----+-----+                         |
|      |     |  15 |  23 | {42}                   6x + 13x = 19x
3   +------+  8  +-----+-----+                         |
|      |     |  16 |24,27| {43,44,45,46} ←- 4x --
|      |-----+-----+-----+
|  6   |     |  17 |  28 | {50} = 46 + 4
|      |  9  +-----+-----+
|      |     |  18 |  29 | {68} = 32 + 36
------|------|-----+-----+------
``````
``````|         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
``````