UnsolvedMath
ProblemsCategoriesSetsSearch

Unsolved Problems

Showing 1-2 of 2 problems

Difficulty Level

All LevelsL1: TractableL2: IntermediateL3: AdvancedL4: ExpertL5: Millennium Prize

Category

All CategoriesNumber TheoryCombinatoricsGraph TheoryAlgebraAlgebraic GeometryGeometryTopologyAnalysisPartial Differential EquationsSet TheoryComputer ScienceMathematical Physics

Problem Set

All SetsMillennium Prize ProblemsHilbert's 23 ProblemsBen Green's 100 Open ProblemsDARPA's 23 Mathematical ChallengesSmale's ProblemsLandau's Problems

Status

All StatusOpenSolved
HIL-007
Open

Hilbert's 7th Problem: Transcendence of Certain Numbers

If $\alpha$ is algebraic and irrational, and $\beta$ is algebraic and irrational, is $\alpha^\beta$ transcendental?...

L4
Number Theory
321
18
HIL-011
Open

Hilbert's 11th Problem: Quadratic Forms over Algebraic Number Fields

Extend the theory of quadratic forms with algebraic numerical coefficients....

L4
Number Theory
198
11

UnsolvedMath

A curated repository of open mathematics problems from elementary to Millennium Prize level.

Explore

  • All Problems
  • Categories
  • Millennium Prize

About

  • A curated collection of unsolved mathematics problems

Resources

  • Clay Mathematics Institute
  • Wikipedia List
© 2026 UnsolvedMath. Built by ulam.aicommunity.