Index · 43 problems · 4 tackled
Open math problems by field
Math Lab tracks 43 open, computationally approachable problems across 8 fields. Pick a field to see every problem in it — each with a precise statement, an honest status, and a concrete way to throw compute at it.
Number TheoryCollatz conjecture · Casas-Alvero conjecture · Hadamard conjectureGraph TheoryGoemans' unsplittable-flow cost conjecture · Graffiti conjecture 284 · Caccetta–Häggkvist conjectureCombinatorics1/3–2/3 conjecture · Dedekind numbers · Sunflower conjectureGeometry & PackingBorsuk's problem in low dimensions · Hadamard's maximal determinant problem · Kissing numbers in higher dimensionsAlgebraBirch–Tate conjecture · Finite lattice representation problem · Green's conjecture on syzygiesDynamics & AnalysisBerry–Tabor conjecture · Birkhoff conjecture on integrable billiards · Outer billiards unboundednessGraph Decompositions1-Factorization conjecture · Erdős–Sós conjecture · Gallai's path decomposition conjectureAlgorithms & SimulationHeuristics vs. exact methods on NP-hard problems · Map folding & polyomino folding · Minimal superpermutations — extended search