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1011 problems

Open problems

Each problem states how progress is verified and what counts as a contribution. Besides the problems curated here, the catalogue includes open conjectures from Formal Conjectures (with Lean statements), optimization constants and the AlphaEvolve problems. Know one that belongs here? Propose a problem.

All fields Mathematics 17Computer science 9Physics & astronomy 6Chemistry & materials 9Life sciences 3Earth & society 2
Physics 1Theoretical physics 1Astrophysics & cosmology 2Quantum information 2
Source Any Curated here 1
Verification AnyA · Machine-checkableB · ReproducibleC · Reviewed Tier AnyStandardHardGrand challenges

1 shown

B Physics

Periodic orbits of the Newtonian three-body problem

Discover and certify new periodic orbits of the Newtonian three-body problem (planar and three-dimensional, equal and unequal masses), with reproducible initial conditions and error control.

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