starting from about the first 10,000 numbers, the ratio is roughly 1/(8.137 +2.305X), where X is the is 0, at 100,000 it is 1, and 1,000,000 it is 2. the number of prime numbers can be calculated by multiplying the ratio by 10^(X+4). This mostly accurate after 10,000. By accurate i mean that the first 2 digits of the number match with the first 2 digits of the amount of primes within the amount of given numbers.

Pi(x) = number of primes under value x.

Pi(10) = 4 (2,3,5,7)

Pi(100) = 25

Pi(1000) = 1,68

Pi(10000) = 1,229

Pi(100000) = 9,592

Pi(1000000) = 78,498

Pi(10^25) = 176,846,309,399,143,769,411,680

My function = F(x) = 10^(x+4)*(1/(8.137+2.305x))

F(0) = 1,229 first 10,000 numbers

F(1) = 9,577 (100,000)

F(2) = 78,450 (1,000,000)

F(21) = 1,768,596,8.... (10^25)

However the interesting thing is that, as 1/8.137+2.305x trends towards infinity, it = 0.

Thoughts?