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quantum computation; IC-POVMs; knot theory; three-manifolds; branch coverings; Dehn surgeries; zeta function; Pólya-Hilbert conjecture; Riemann interferometer; prime numbers; Prime Number Theorem (P.N.T.); modified Sieve procedure; binary periodical sequences; prime number function; prime characteristic function; limited intervals; logarithmic integral estimations; twin prime numbers; free probability; p-adic number fields ℚp; Banach ∗-probability spaces; C*-algebras; semicircular elements; the semicircular law; asymptotic semicircular laws; Kaprekar constants; Kaprekar transformation; fixed points for recursive functions; Baker’s theorem; Gel’fond–Schneider theorem; algebraic number; transcendental number; standard model of elementary particles; 4-manifold topology; particles as 3-Braids; branched coverings; knots and links; charge as Hirzebruch defect; umbral moonshine; number of generations; the pe-Pascal’s triangle; Lucas’ result on the Pascal’s triangle; congruences of binomial expansions; primality test; Miller–Rabin primality test; strong pseudoprimes; primality witnesses