Spectrum of non-trivial zeros, distribution and magnitude of prime numbers

Spectrum RCS(n) = ∑cos(t_jlnn), j∈[1, ∞), based on imaginary values of non-trivial zeros of the zeta function ζ(s) = ζ(½±it_j) = 0, Im(s) = ±t_j, results in "high peaks" (i.e., resonant values of cosine amplitudes at the prime powers n = p^k, k∈ℕ in the negative part of the spectrum). The spectrum of the r^th root RCS(n^1/r) = ∑cos(t_jlnn^1/r), r∈ℕ exclusively reaches its resonance values in the values of the degree n = p^r. Owing to that fact, prime numbers p¹ can be separated from prime powers p^1/r, r≥2. The spectrum of the d^th degree RCS(n^d) = ∑cos(t_jlnn^d), d∈ℕ exclusively reaches its resonant values exclusively in the values of the root p^1/d, d≥2. The spectrum of the d^th degree "compresses" the number axis. For an arbitrary real interval (a, b), all the resonances p^d of all prime numbers from the interval (a^d, b^d) are contained in the interval (a, b). The imaginary sine spectrum-ISS and the composite spectrum of the RCS and ISS is developed.