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math.NT2011
Prime numbers: periodicity, chaos, noise
A. Bershadskii
Logarithmic gaps have been used in order to find a periodic component of the sequence of prime numbers, hidden by a random noise (stochastic or chaotic). The recovered period for t…
math.NT2011
Correlations between large prime numbers
A. Bershadskii
It is shown that short-range correlations between large prime numbers (~10^5 and larger) have a Poissonian nature. Correlation length ζ= 4.5 for the primes ~10^5 and it is increasi…