The pattern of prime numbers

I found the pattern of prime numbers. It must be ridiculous but it seems to be almost perfect as long as I know. The realm includes infinity, so it is impossible for me to prove it. However, it keeps moving with the same pattern.
You may say that it must be a fractal which means that a part includes everything. If you are interested in a long spiral road, read this blog. I will extend a stupid story from prime numbers to the universe.

ρ must be optional odd numbers.
Ш is apparent prime numbers such as 2,3,5.
In this case, you can ignore 2 because only odd numbers must be the target to expand prime numbers.

If ρ is divided by Ш and you can get the integral answer, it is Шn^2. It must be Composite numbers before Шn^2 such as 15=5*3.

These are not prime numbers.

∴

For example, you can find prime numbers up to 100 by following this theory.
《３、５、７、９、１１、１３，１５、１７、１９、２１、２３、２５、２７、２９、３１、３３、３５、３７、３９、４１、４３、４５、４７、４９、５１、５３、５５、５７、５９、６１、６３、６５、６７、６９、７１、７３、７５、７７、７９、８１、８３、８５、８７、８９、９１、９３、９５、９７、９９》is the odd numbers.

3,5,7 must be the apparent prime numbers because of √100=10.

Ш1=3,Ш2=5,Ш3=7

9 is divided by Ш1=3, so ρ=9 and ９+2(д-1)Ш1 is working.

д＞1

Therefore
９＋２×３＝１５、９＋４×３＝２１、９＋６×３＝２７、９＋８×３＝３３、９＋１０×３＝３９、９＋１２×３＝４５、９＋１４×３＝５１、９＋１６×３＝５７、９＋１８×３＝６３、９＋２０×３＝６９、９＋２２×３＝７５、９＋２４×３＝８１、９＋２６×３＝８７、９＋２８×３＝９３、９＋３０×３＝９９

１５、２１、２７、３３、３９、４５、５１、５７、６３、６９、７５、８１、８７、９３、９９ are not prime numbers.

The next is Ш2=5 and 25 is divided by this number.
ρ=25 and ２５＋２（д－１）Ш2 is working.
Therefore
２５＋２×５＝３５、２５＋４×５＝４５、２５＋６×５＝５５、２５＋８×５＝６５、２５＋１０×５＝７５、２５＋１２×５＝８５、２５＋１４×５＝９５

３５、４５、５５、６５、７５、８５、９５ are not prime numbers.

The next is Ш3=7 and 49 is divided by this number.
ρ=49 and ４９＋２（д－１）Ш3 is working.
Therefore
４９＋２×７＝６３、４９＋４×７＝７７、４９＋６×７＝９１

６３、７７、９１ are not prime numbers.

Finally you can find prime numbers by 100.

３、５、７、１１、１３、１７、１９、２３、２９、３１、３７、４１、４３、４７、５３、５９、６１、６７、７１、７３、７９、８３、８９、９７

You can't break this pattern until the end, and you never know.
Шn+1 must be expansion of Шn^2+2(д-1)Шn.

C=2(д-1)Шn

∴

This would be fractal.
Moreover, this is expressed by squares, so you can say C=αi^2 (i is an imaginary number).
For example, Ш2=5=3^2+4i^2=9-4 and Ш3=7=5^2+18i^2=25-18.
There is no pattern in C, but it is based on prime numbers.



Moreover, Шn must be P.
Here is Riemann's zeta function.



I exclude 2, but ζ(s) is still fractal because of multiplication.