Tuesday, 27 March 2012

draft of the formula

Formula for calculating the number of primes in the interval






P_n - a prime number
  (n) - a prime number
 
We denote

  a (x)




- A power series
 
Geometric progression
 
converges for
 
and diverges for
 
The domain of convergence is the interval (-1, 1), which excludes both ends, x = +1 and x = -1. The sum of the series in the region of convergence is
 


- Formula for calculating the number of primes in the interval
 


Sergey Sitnikov

   




 
 
 
 




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