Mathematics catalogue
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-601 Perfect 1-Factorization Conjecture
- Math-602 Earth-Moon Problem
- Math-603 Gyárfás-Sumner Conjecture
- Math-604 Albertson Conjecture
- Math-605 Conway's Thrackle Conjecture
- Math-606 Harborth's Conjecture
- Math-607 Negami's Conjecture
- Math-608 Turán's Brick Factory Problem
- Math-609 Guy's Crossing Number Conjecture
- Math-610 Universal Point Sets
- Math-611 Conference Graph Existence
- Math-612 Conway's 99-Graph Problem
- Math-613 Degree Diameter Problem
- Math-614 Moore Graph Existence
- Math-615 Barnette's Conjecture
- Math-616 Chvátal's Toughness Conjecture
- Math-617 Erdős-Gyárfás Conjecture
- Math-618 Linear Arboricity Conjecture
- Math-619 Cubic Graph Pathwidth
- Math-620 Snake-in-the-Box Problem
- Math-621 Sumner's Conjecture
- Math-622 Unfriendly Partition Conjecture
- Math-623 Vizing's Conjecture
- Math-624 Ryser's Conjecture
- Math-625 Second Neighborhood Problem
- Math-626 Woodall's Conjecture
- Math-627 Eilenberg-Ganea Conjecture
- Math-628 Finite Lattice Representation Problem
- Math-629 Rota's Basis Conjecture
- Math-630 Stable Field Conjecture
- Math-631 O-Minimal Theory with Trans-Exponential Growth
- Math-632 Infinite Minimal Field Algebraic Closure
- Math-633 Zeeman Conjecture
- Math-634 Hardy-Littlewood Conjecture B (Second Conjecture)
- Math-635 The Prime Number Race
- Math-636 Shanks Chains of Length 7
- Math-637 Erdős Conjecture on Carmichael Numbers
- Math-638 Pomerance's Questions on Good Primes
- Math-639 Walking to Infinity on Gaussian Primes
- Math-640 Erdős Problem #1
- Math-641 Erdős Problem #9
- Math-642 Erdős Problem #12
- Math-643 Erdős Problem #14
- Math-644 Erdős Problem #15
- Math-645 Erdős Problem #17
- Math-646 Erdős Problem #18
- Math-647 Erdős Problem #25
- Math-648 Erdős Problem #28
- Math-649 Erdős Problem #30
- Math-650 Erdős Problem #32