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  2. Hilbert's problems - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_problems

    Problems 1, 2, 5, 6, [g] 9, 11, 12, 15, 21, and 22 have solutions that have partial acceptance, but there exists some controversy as to whether they resolve the problems. That leaves 8 (the Riemann hypothesis ), 13 and 16 [ h ] unresolved, and 4 and 23 as too vague to ever be described as solved.

  3. Hilbert's sixth problem - Wikipedia

    en.wikipedia.org/wiki/Hilbert's_sixth_problem

    Hilbert’s sixth problem was a proposal to expand the axiomatic method outside the existing mathematical disciplines, to physics and beyond. This expansion requires development of semantics of physics with formal analysis of the notion of physical reality that should be done. [ 9] Two fundamental theories capture the majority of the ...

  4. Eight queens puzzle - Wikipedia

    en.wikipedia.org/wiki/Eight_queens_puzzle

    There are 92 solutions. The problem was first posed in the mid-19th century. In the modern era, it is often used as an example problem for various computer programming techniques. The eight queens puzzle is a special case of the more general n queens problem of placing n non-attacking queens on an n×n chessboard.

  5. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  6. Millennium Prize Problems - Wikipedia

    en.wikipedia.org/wiki/Millennium_Prize_Problems

    e. The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$ 1 million prize for the first correct solution to each problem. The Clay Mathematics Institute officially designated the title Millennium Problem for the seven unsolved ...

  7. List of mathematical conjectures - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical...

    Chinese hypothesis (not a conjecture to start with) Doomsday conjecture. Euler's sum of powers conjecture. Ganea conjecture. Generalized Smith conjecture. Hauptvermutung. Hedetniemi's conjecture, counterexample announced 2019 [ 20] Hirsch conjecture (disproved in 2010) Intersection graph conjecture.

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