List of unsolved problems in mathematics

<p>Many <a href="/facts/Mathematical_problems/lFMR51de">mathematical problems</a> have been stated but not yet solved. These problems come from many <a href="/facts/Areas_of_mathematics/5db06g8z">areas of mathematics</a>, such as <a href="/facts/Theoretical_physics/Cs2Y12rQ">theoretical physics</a>, <a href="/facts/Computer_science/lN3pEyPz">computer science</a>, <a href="/facts/Algebra/nMdqczjo">algebra</a>, <a href="/facts/Mathematical_analysis/XXeR26Ih">analysis</a>, <a href="/facts/Combinatorics/k14xUoKT">combinatorics</a>, <a href="/facts/Algebraic_geometry/rh7RHVp3">algebraic</a>, <a href="/facts/Differential_geometry/c04XmyLu">differential</a>, <a href="/facts/Discrete_geometry/Ixnl3GBc">discrete</a> and <a href="/facts/Euclidean_geometry/V6cTcoCy">Euclidean geometries</a>, <a href="/facts/Graph_theory/VVPCd4TX">graph theory</a>, <a href="/facts/Group_theory/NfowcI5H">group theory</a>, <a href="/facts/Model_theory/vLWVV8sQ">model theory</a>, <a href="/facts/Number_theory/zhoa7zrc">number theory</a>, <a href="/facts/Set_theory/1ptfsvUP">set theory</a>, <a href="/facts/Ramsey_theory/CzLLM2j8">Ramsey theory</a>, <a href="/facts/Dynamical_system/782gREl5">dynamical systems</a>, and <a href="/facts/Partial_differential_equation/DyPsBlv7">partial differential equations</a>. Some problems belong to more than one discipline and are studied using techniques from different areas. Prizes are often awarded for the solution to a long-standing problem, and some lists of unsolved problems, such as the <a href="/facts/Millennium_Prize_Problems/WWSB5ddp">Millennium Prize Problems</a>, receive considerable attention.
</p><p>This list is a composite of notable unsolved problems mentioned in previously published lists, including but not limited to lists considered authoritative, and the problems listed here vary widely in both difficulty and importance.
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List of unsolved problems in mathematics open-in-new

List of unsolved problems in mathematics