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-1151 Quartic rationally derived polynomials
- Math-1152 3 is a primitive root modulo primes of the form 16 q^4 + 1, where q>3 is prime
- Math-1153 Sum of prime and semiprime conjecture
- Math-1154 Giuga's Conjecture on Primality
- Math-1155 Goldbach conjecture
- Math-1156 Euler-Mascheroni constant
- Math-1157 Is Skewes' number e^e^e^79 an integer?
- Math-1158 Are all Fermat Numbers square-free?
- Math-1159 Are all Mersenne Numbers with prime exponent square-free?
- Math-1160 Are there infinite number of Mersenne Primes?
- Math-1161 Few subsequence sums in Z_n x Z_n
- Math-1162 Gao's theorem for nonabelian groups
- Math-1163 The 3n+1 conjecture
- Math-1164 Davenport's constant
- Math-1165 A sextic counterexample to Euler's sum of powers conjecture
- Math-1166 Wall-Sun-Sun primes and Fibonacci divisibility
- Math-1167 Magic square of squares
- Math-1168 Perfect Cuboid
- Math-1169 Sums of independent random variables with unbounded variance
- Math-1170 Exponential Algorithms for Knapsack
- Math-1171 The robustness of the tensor product
- Math-1172 Subset-sums equality (pigeonhole version)
- Math-1173 Complexity of square-root sum
- Math-1174 Linear-size circuits for stable $0,1 < 2$ sorting?
- Math-1175 Discrete Logarithm Problem
- Math-1176 Unconditional derandomization of Arthur-Merlin games
- Math-1177 The Inscribed Square Problem
- Math-1178 Smooth 4-dimensional Poincare conjecture
- Math-1179 Realisation problem for the space of knots in the 3-sphere
- Math-1180 Which homology 3-spheres bound homology 4-balls?
- Math-1181 Fundamental group torsion for subsets of Euclidean 3-space
- Math-1182 Which compact boundaryless 3-manifolds embed smoothly in the 4-sphere?
- Math-1183 What is the homotopy type of the group of diffeomorphisms of the 4-sphere?
- Math-1184 Is there an algorithm to determine if a triangulated 4-manifold is combinatorially equivalent to the 4-sphere?
- Math-1185 Unsolvability of word problem for 2-knot complements
- Math-1186 Closing Lemma for Diffeomorphism (Dynamical Systems)
- Math-1187 Rendezvous on a line
- Math-1188 Kourovka Notebook Problem 21.1
- Math-1189 Kourovka Notebook Problem 21.2
- Math-1190 Kourovka Notebook Problem 21.3
- Math-1191 Kourovka Notebook Problem 21.4
- Math-1192 Kourovka Notebook Problem 21.5
- Math-1193 Kourovka Notebook Problem 21.7
- Math-1194 Kourovka Notebook Problem 21.9
- Math-1195 Kourovka Notebook Problem 21.11
- Math-1196 Kourovka Notebook Problem 21.13
- Math-1197 Kourovka Notebook Problem 21.16
- Math-1198 Kourovka Notebook Problem 21.17
- Math-1199 Kourovka Notebook Problem 21.19
- Math-1200 Kourovka Notebook Problem 21.20