2011/02/17 by A. Bershadskii, Bershadskii, A.
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Chaotic Dynamics (nlin.CD) #FOS: Mathematics #FOS: Physical sciences #Fractal and DNA sequence analysis #Mathematical Dynamics and Fractals #Number Theory (math.NT) #math.NT #nlin.CD
paper · pdf · doi:10.48550/arxiv.1102.3648
extended
openalex publication_date 2011/02/17 · arxiv created 2011/05/09 · arxiv updated 2011/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 the sequence of the first 10000 prime numbers is equal to 8±1 (subject to the prime number theorem). For small and moderate values of the prime numbers (first 2000 prime numbers) this result has been directly checked using the twin prime killing method.