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"Millennium Prize Problems" as a book category would collect works centered on the seven famous mathematical challenges designated by the Clay Mathematics Institute — the Riemann hypothesis, P vs NP, Poincaré conjecture (now solved), Navier–Stokes existence and smoothness, Birch and Swinnerton-Dyer conjecture, Hodge conjecture, and the Yang–Mills existence and mass gap — and on the ideas, history, attempts, proofs or partial results, and personalities surrounding them. Such books range from accessible popular-science narratives and biographical profiles that convey the mystery and cultural impact of big unsolved problems, to graduate-level expositions and research monographs that develop the technical machinery, to collections of essays on computational approaches, prize politics, and philosophical implications. The unifying theme is the exploration of deep, foundational questions that drive modern mathematics and its interaction with computer science, physics, and society, appealing to readers interested in high-stakes intellectual challenge as much as to specialists.

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