Hilbert's 23 problems

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At the 1900 International Congress of Mathematics in Paris, David Hilbert presented 23 problems he considered to be of paramount importance for the future development of mathematics.

1. Cantor's continuum hypothesis
2. Consistency of arithmetic axioms
3. Polyhedral assembly from polyhedron of equal volume (solved in YEAR GOES HERE)
4. Constructibility of metrics by geodesics
5. Existence of topological groups as manifolds that are not differential groups (solved in YEAR GOES HERE)
6. Axiomatization of physics
7. Genfold-Schneider theorem
8. Riemann hypothesis
9. Algebraic number field reciprocity theorem
10. Matiyasevich's theorem Solved
11. Quadratic form solution with algebraic numerical coefficients
12. Extension of Kronecker's theorem to other number fields
13. Solution of 7th degree equations with 2-parameter functions
14. Proof of finiteness of complete systems of functions
15. Schubert's enumerative calculus
16. Problem of the topology of algebraic curves and surfaces
17. Problem related to quadratic forms
18. Existence of space-filling polyhedron and densest sphere packing
19. Existence of Lagrangian solution that is not analytic
20. Solvability of variational problems with boundary conditions
21. Existence of linear differential equations with monodromic group
22. Uniformization of analytic relations
23. Calculus of variations