Increment Primes

P.M. Mazurkin^1,

¹Doctor of Engineering Science, Academician of RANS, member of EANS, Volga Region State Technological University, Russia

Cite this paper

P.M. Mazurkin. Increment Primes. American Journal of Applied Mathematics and Statistics. 2014; 2(2):66-72. doi: 10.12691/AJAMS-2-2-3

Abstract

The increment of prime numbers was a clear indication. Increase - the number increases, the addition of something. If the number of prime numbers, figuratively called the "ladder of Gauss-Riemann", the increase may well be likened to the steps, separated from the ladder itself. We prove that the law is obeyed z₂(i₂=2)=1/2-1/2cos(πP(n)/2) in the critical line i₂=2 of the second digit binary number system. This functional model was stable and in other quantities of prime numbers (3000 and 100 000). The critical line is the Riemann column i₂=2 binary matrix of a prime rate. Not all non-trivial zeros lie on it. There is also a line of frames, the initial rate (yields patterns of symmetry) and left the envelope binary number 1. Cryptographers cannot worry: even on the critical line growth of prime numbers z_2i=1/2-1/2cos(πP_j/2) contain the irrational number π=3.14159….

Keywords

prime numbers, increase, the critical line, the root of 1/2

Copyright

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References

[1]	Don Zagier. The first 50 million prime numbers. URL: http://www.ega-math.narod.ru/Liv/Zagier.htm.
[2]	Mazurkin P.M. Biotechnical principle and stable distribution laws // Successes of modern natural sciences. 2009. № 9, 93-97.