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Prime Quasientropy and Quasichaos
Authors:Richard L Liboff  Nils Weimann  Mason A Porter
Institution:(1) Schools of Electrical Engineering and Applied Physics, Cornell University, Ithaca, New York;(2) Center for Applied Mathematics, Cornell University, Ithaca, New York
Abstract:We construct a prime symmetry relation for integers that is equivalent to Goldbach's conjecture and show that numerical computations of this prime symmetry property strongly resemble a chaotic sequence. We define and examine the notions of global and local prime quasientropies. Finally, we employ the fact that the prime number sequence satisfies the property of deterministic randomness to consider its utility for the field of quantum computation.
Keywords:prime numbers  chaotic sequence  prime sequence  global and local quasientropies  twin primes
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