Actual infinity (Definition)

Determination of the number of actual infinity through (k).

Actual infinity is a number (k) where, for any (n)

Actual infinity is a number (k). Why not?
The number of (k) is increasing in magnitude. To what value is undefined. But there is a limit increase this number. These three conditions represent actual infinity.
A. Increase in the number (k) in size
Two. To what value is undefined
Three. There is a limit growth in the number (k) in size. The latter condition determines the existence of actual infinity.

potential infinity

if

And that would get

To do this,

Since the average gap is always smaller than the previous prime number starting with (n = 4)

So that would be

The distance between successive primes, which can be arbitrarily large, and the sum of average gap is growing rather slowly. Hence we can assume that there exists a prime number for which

And a prime number satisfying

offer equal to a finite number of potential infinity. While certainly not those who either can not find this number.

Sergey Sitnikov