Chapter 4: Systems Based on Numbers

Section 4: The Sequence of Primes

Spectra [of number theoretic sequences]

The pictures below show frequency spectra obtained from the sequences in the main text. Some regularity is evident, and in cases (a) and (b) it can be understood from trigonometric sum formulas of Ramanujan discussed above (see also pages 586 and 1081).

Image Source Notebooks:

From Stephen Wolfram: A New Kind of Science [citation]