- ℤ is Diophantine in ℚ
- Exponential Time Hypothesis
- Quasi-Riemann Hypothesis
- Kakeya Conjecture in All Dimensions
- Jacobian Conjecture
- Unit Distance Problem
- Hilbert's Tenth Problem
- Unique Games Conjecture
- Navier–Stokes
- Hadamard Matrices
- Non-Sofic Groups
- Subquadratic 3SUM
- All-Pairs Shortest Paths
- Quantum Parallel Repetition
- Multicolor Triangle Ramsey Numbers
- Erdős–Sós Conjecture
- Cycle Double Cover
- Köthe Conjecture
- Sendov's Conjecture
- Crouzeix's Conjecture
- Ehrhart Volume Conjecture
- Borsuk's Conjecture in Dimension 63
- High-Dimensional Sphere Packing
- Multiplying Faster Than n log n
- Connes Rigidity Conjecture
- Nine-Loop Amplitude