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-8551 Is Skewes' number e^e^e^79 an integer?
- Math-8552 Are all Fermat Numbers square-free?
- Math-8553 Are all Mersenne Numbers with prime exponent square-free?
- Math-8554 Are there infinite number of Mersenne Primes?
- Math-8555 Few subsequence sums in Z_n x Z_n
- Math-8556 Gao's theorem for nonabelian groups
- Math-8557 The 3n+1 conjecture
- Math-8558 Davenport's constant
- Math-8559 A sextic counterexample to Euler's sum of powers conjecture
- Math-8560 Wall-Sun-Sun primes and Fibonacci divisibility
- Math-8561 Magic square of squares
- Math-8562 Perfect Cuboid
- Math-8563 Sums of independent random variables with unbounded variance
- Math-8564 Exponential Algorithms for Knapsack
- Math-8565 The robustness of the tensor product
- Math-8566 Subset-sums equality (pigeonhole version)
- Math-8567 Complexity of square-root sum
- Math-8568 Linear-size circuits for stable $0,1 < 2$ sorting?
- Math-8569 Discrete Logarithm Problem
- Math-8570 Unconditional derandomization of Arthur-Merlin games
- Math-8571 The Inscribed Square Problem
- Math-8572 Smooth 4-dimensional Poincare conjecture
- Math-8573 Realisation problem for the space of knots in the 3-sphere
- Math-8574 Which homology 3-spheres bound homology 4-balls?
- Math-8575 Fundamental group torsion for subsets of Euclidean 3-space
- Math-8576 Which compact boundaryless 3-manifolds embed smoothly in the 4-sphere?
- Math-8577 What is the homotopy type of the group of diffeomorphisms of the 4-sphere?
- Math-8578 Is there an algorithm to determine if a triangulated 4-manifold is combinatorially equivalent to the 4-sphere?
- Math-8579 Unsolvability of word problem for 2-knot complements
- Math-8580 Closing Lemma for Diffeomorphism (Dynamical Systems)
- Math-8581 Rendezvous on a line
- Math-8582 Kourovka Notebook Problem 21.1
- Math-8583 Kourovka Notebook Problem 21.2
- Math-8584 Kourovka Notebook Problem 21.3
- Math-8585 Kourovka Notebook Problem 21.4
- Math-8586 Kourovka Notebook Problem 21.5
- Math-8587 Kourovka Notebook Problem 21.7
- Math-8588 Kourovka Notebook Problem 21.9
- Math-8589 Kourovka Notebook Problem 21.11
- Math-8590 Kourovka Notebook Problem 21.13
- Math-8591 Kourovka Notebook Problem 21.16
- Math-8592 Kourovka Notebook Problem 21.17
- Math-8593 Kourovka Notebook Problem 21.19
- Math-8594 Kourovka Notebook Problem 21.20
- Math-8595 Kourovka Notebook Problem 21.22
- Math-8596 Kourovka Notebook Problem 21.23
- Math-8597 Kourovka Notebook Problem 21.25
- Math-8598 Kourovka Notebook Problem 21.26
- Math-8599 Kourovka Notebook Problem 21.27
- Math-8600 Kourovka Notebook Problem 21.28