eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2333-4576
2014-02-21
2
2
60
65
10.12691/ajams-2-2-2
AJAMS2014222
article
Series Primes in Binary
P.M. Mazurkin
kaf_po@mail.ru
1
Doctor of Engineering Science, Academician of RANS, member of EANS, Volga Region State Technological University, Russia
To prove the famous Riemann hypothesis, that the real part of the root is always exactly equal to 1/2, a series of 500 and the other prime numbers has been converted from decimal to binary number system. At the same time was a clear non-trivial zeros. Any prime number can be represented as quantized into binary digital signal. Quantization step to not dilute a number of prime numbers is 1. Number of levels (binary digits) depends on the power of the quantized number of primes. As a result, we get two types of zeros - the trivial and nontrivial. Capacity of a finite number of primes must be taken based on the completeness of block incidence matrix. Average statistical indicator is a binary number, and influencing variable - itself a prime number. The binary representation allows to visualize and geometric patterns in the full range of prime numbers.
http://pubs.sciepub.com/ajams/2/2/2/ajams-2-2-2.pdf
simple numbers
conversion
geometry
criteria