Mathematics
Open problems, research attempts and community review.
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-551 Pyjama Set Covering
- Math-552 Cohn-Elkies Scheme for Circle Packings
- Math-553 Covering by Residue Classes
- Math-554 Residue Class Multiple Coverage
- Math-555 Maximal Covering Interval
- Math-556 N-Queens Problem Asymptotics
- Math-557 Existence of Perfect Cuboids
- Math-558 Catalan-Mersenne Conjecture
- Math-559 Singmaster's Conjecture
- Math-560 The Total Coloring Conjecture
- Math-561 Firoozbakht's Conjecture
- Math-562 Herzog-Schönheim Conjecture
- Math-563 The Isomorphism Problem for Coxeter Groups
- Math-564 Infinitude of Leinster Groups
- Math-565 The Carathéodory Conjecture
- Math-566 Kalai's $3^d$ Conjecture
- Math-567 The Unit Distance Problem
- Math-568 The Generalized Star Height Problem
- Math-569 Ulam's Packing Conjecture
- Math-570 The Cap Set Problem
- Math-571 Grimm's Conjecture
- Math-572 Magic Square of Squares
- Math-573 Scholz Conjecture
- Math-574 Quasiperfect Numbers
- Math-575 Almost Perfect Numbers Beyond Powers of 2
- Math-576 The Number of Idoneal Numbers
- Math-577 Amicable Numbers of Opposite Parity
- Math-578 Infinitely Many Amicable Pairs
- Math-579 Infinitely Many Giuga Numbers
- Math-580 Lychrel Numbers in Base 10
- Math-581 Odd Weird Numbers
- Math-582 Is 10 a Solitary Number?
- Math-583 Lemoine's Conjecture
- Math-584 Recamán's Sequence Completeness
- Math-585 Class Number Problem
- Math-586 Erdős-Ulam Problem
- Math-587 Agoh-Giuga Conjecture
- Math-588 1/3–2/3 Conjecture
- Math-589 Partition Principle Implies Axiom of Choice
- Math-590 Woodin's GCH below Strongly Compact Cardinals
- Math-591 GCH and Diamond Principle
- Math-592 GCH and Suslin Trees
- Math-593 Jónsson Algebra on ℵ_ω
- Math-594 Open Coloring Axiom and Continuum Hypothesis
- Math-595 Octal Games Periodicity
- Math-596 Grundy's Game Periodicity
- Math-597 Tammes Problem
- Math-598 Danzer's Problem
- Math-599 Meyniel's Conjecture on Cop Number
- Math-600 Graph Coloring Game Monotonicity