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.
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Liboff, R.L., Weimann, N. & Porter, M.A. Prime Quasientropy and Quasichaos. International Journal of Theoretical Physics 41, 1389–1395 (2002). https://doi.org/10.1023/A:1019619519864
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DOI: https://doi.org/10.1023/A:1019619519864