A Wheel Through the Primes

The prime numbers, told through a single concrete object: a wheel of forty-eight spokes — the residues coprime to 210 = 2·3·5·7. Every prime past 7 lands on one of them. On this one stage the book builds real analytic number theory at human scale: Dirichlet's theorem and the prime race with its stubborn Chebyshev bias, the seven real characters and their conductor lattice, the Riemann zeros Fourier-transformed into the primes as a diffraction pattern, the zeros as a random-matrix spectrum, the supersymmetric primon gas whose bookkeeping is the Möbius function, the climb up the primorials, the repeating decimals Gauss studied, and the twin slots — ending honestly at the three walls where the subject actually ends: the Riemann Hypothesis, the twin-prime conjecture, and the hardness of factoring. Every figure ships with the short Python program that produced it, printed in full so it can be rerun rather than trusted. Nothing is inflated: what is theorem is credited, what is heuristic is labeled, and what is open stays open. 98 pages · 7×10" PDF · fully hyperlinked with navigable outline · 13 chapters plus glossary and bibliography. Book One of The Primes Trilogy. Also available direct from the publisher: https://payhip.com/EfficientIntelligence