Integration

When you count prime numbers in each 1000000, there are less prime numbers. This is known as power law.

I have found the pattern of prime numbers.

Шn+1=Шn^2+2(д-1)Шn

This is absolute convergence.
Therefore, it would be replaced as f(z).
I can pick up all prime numbers infinitely, so, in this case, f(z) must be the sum of prime numbers in each 100.


Z=Z(T)=x(T)+iy(T)
T is a parameter.

f(Z)=f(Z(T))

C is the curve of this graph, and you can divide it by N.

T0=Ta,T1,T2,.....,TN=Tb
Z0=Za,Z1,Z2,.....,ZN=Zb



ΔZn≡Zn-Zn-1, ΔTn≡Tn-Tn-1



Z=Z(T) and ΔZn≡Zn-Zn-1


∴