Source code of this part can be found at Github.

*Part 1., Part 2. and Part 3. *was about some numerology based equations.

sin(101) = 0.98162718344766397571 cos(101) = -0.19080899537654480436 tan(101) = -5.1445540159703107008 sin(103) = 0.97437006478523524589 cos(103) = -0.22495105434386480914 tan(103) = -4.3314758742841590333

I cannot explain why the main requirement is take 3 numbers if angle is build of 3 numbers.

As you can quickly calculate with 2 or 4 taken numbers it does not work in a symmetry context.

After this discovery I get an idea to test symmetry of known prime numbers. I asked myself:

*Is there a center number between two primary numbers?*

Of course there is.

I had discover, that every prime number has a “twin” at the same length from center number.

If you check https://banit.pl/wp-content/uploads/2019/08/result.txt you will find:

```
Size: 2
Count: 24
---------
Size: 6
Count: 46
---------
Size: 10
Count: 32
...
```

*Size*is**length**between 2 prime numbers`abs(prime1 - prime2) = size`

- In range <0, 500>:
- there are
*24 * 2*prime numbers so there is**24**symmetries

- there are 46 * 2 prime numbers so there is
**46**symmetries

- there are

And so on.

Next files are more detailed.

In https://banit.pl/wp-content/uploads/2019/08/result_details.txt you can confirm:

```
Size: 2
Count: 24
___DETAILS___
Below: 3
Center: 4
Upper: 5
---
Below: 5
Center: 6
Upper: 7
---
Below: 11
Center: 12
Upper: 13
---
Below: 17
Center: 18
Upper: 19
---
Below: 29
Center: 30
Upper: 31
---
Below: 41
Center: 42
Upper: 43
...
...
Size: 6
Count: 46
___DETAILS___
Below: 5
Center: 8
Upper: 11
---
Below: 7
Center: 10
Upper: 13
---
Below: 11
Center: 14
Upper: 17
---
Below: 13
Center: 16
Upper: 19
---
Below: 17
Center: 20
Upper: 23
---
Below: 23
Center: 26
Upper: 29
...
```

And you can define:

*UpperPrime – LowerPrime**= Size**and Size is given by 4n + 2 formula*

File https://banit.pl/wp-content/uploads/2019/08/result_number_symmetry.txt confirms previous. File is grouped by number and it shows where the prime number exists in symmetry:

```
NUMBER: 3
C 4 P 5 L 1
C 8 P 13 L 5
C 10 P 17 L 7
C 16 P 29 L 13
C 20 P 37 L 17
C 22 P 41 L 19
...
...
NUMBER: 5
C 4 P 3 L 1
C 6 P 7 L 1
C 8 P 11 L 3
C 12 P 19 L 7
C 14 P 23 L 9
C 18 P 31 L 13
C 24 P 43 L 19
C 26 P 47 L 21
```

C: center number

P: prime in pair

L: length in center number

So:

- number
(confirmed in NUMBER: 5)**3**- has a
prime number twin**5** *symmetry size*is equal:**2**`5 - 3 = 2`

*center number*is:**4**`(5 + 3) / 2 = 4`

*length*from*center number*is equal:*1*`3 + 1 = 5 - 1`

- has a
- number
*5*- has a
prime number twin*47* *symmetry size*is equal:*42*`47 - 5 = 42`

*center number*is:*26*`(47 + 5) / 2 = 26`

*length*from*center number*is equal 21:`5 + 21 = 47 - 21`

- has a

**Part 5.** of Prime Numbers topic is available.