Arithmetic, and sufficient for the decision (supplement)

The contradiction in the article "intelligence test" (which I could not explain), does not know what number to count the number of prime numbers with a zero or a number (P_n). But, leaving this issue to others, I
the initial point of reference taking the number 0. And calculate the number of primes in the interval

by the formula

 

What about the (E) value of the error of calculation?


If the interval (0, P_n ^ 2) the error of calculations increases infinitely, then the interval between the squares of some prime numbers, count the number of prime numbers with an accuracy of E <1. To get started call attention to the neighboring prime numbers for which the interval between the squares of prime numbers, count the number of prime numbers with an accuracy of E <1. For example, such simple numbers 673 and 677.

Is there a distinctive feature of two primes (prime numbers are adjacent, or just two primes). That I can accurately describe these primes as such. For which the interval between the squares of prime numbers, count the number of prime numbers, with an accuracy of E <1?

Math Analysis examines the processes. When compared to the state formula

with the formula of the process, it is wrong.

In the special case of matrix analysis is absolutely not necessary. There is an elementary proof in the special case when

at all intervals

there are two numbers

When using the formula

You can calculate the number of primes in the interval

with an error of calculation, less than one E <1.