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-4151 Removing restrictions from hyperelliptic zeta algorithms
- Math-4152 Fast construction of five-term geometric progressions for NFS
- Math-4153 Choosing a field for an elliptic curve of prescribed order
- Math-4154 Jacobians in abelian-threefold isogeny classes
- Math-4155 Recognizing genus-three Jacobians over the base field
- Math-4156 Monotonicity of maximal curve point counts in genus
- Math-4157 Shortest vectors in Hermitian lattices
- Math-4158 NP-hardness of ideal-lattice SVP
- Math-4159 NP-hardness of minimum distance for cyclic codes
- Math-4160 SVP-to-CVP reduction within ideal lattices
- Math-4161 Quantum algorithm for Smallest Conjugate
- Math-4162 Quantum algorithm for ideal-lattice SVP
- Math-4163 Necessity of the no-CM condition for Heegner bounds
- Math-4164 Vandiver's conjecture
- Math-4165 Congruent numbers in residue classes 5, 6, and 7 modulo 8
- Math-4166 L-value criterion for congruent numbers
- Math-4167 Infinitude of rational points on an elliptic curve
- Math-4168 Bounded prime-sum criterion for rational points
- Math-4169 Prime-sum growth and elliptic-curve rank
- Math-4170 Complex continuation of the associated zeta function
- Math-4171 Alternative and arithmetic proofs of the pi identities
- Math-4172 Odd-prime-power periodicity conjecture
- Math-4173 Power-of-two periodicity conjecture
- Math-4174 Arnold sequence as an f-transform
- Math-4175 Existence of a four-dimensional Euler brick
- Math-4176 Rational distances from the vertices of a square
- Math-4177 Factor RSA-1024
- Math-4178 Semi-magic square of distinct positive cubes
- Math-4179 Büchi's problem
- Math-4180 Carmichael's totient function conjecture
- Math-4181 Catalan–Dickson conjecture on aliquot sequences
- Math-4182 Are there any pairs of betrothed numbers which have same parity
- Math-4183 Are there any pairs of relatively prime amicable numbers
- Math-4184 Are there infinitely many betrothed numbers
- Math-4185 Do any odd noncototients exist
- Math-4186 Do any (2, 5)-perfect numbers exist
- Math-4187 Do any Taxicab(5, 2, n) exist for n > 1
- Math-4188 Pollock's tetrahedral-number conjecture
- Math-4189 Lang and Trotter's conjecture
- Math-4190 Characterize all algebraic number fields that have some power basis
- Math-4191 Find the value of the De Bruijn–Newman constant
- Math-4192 First Hardy–Littlewood zeta-function conjecture
- Math-4193 Piltz divisor problem
- Math-4194 Selberg's orthogonality conjecture
- Math-4195 The n-conjecture
- Math-4196 Does every rational number with an odd denominator have an odd greedy expansion
- Math-4197 Hartmanis–Stearns conjecture
- Math-4198 Wikipedia number-theory item 104: Congruent number problem (a corollary to Birch and Swinnerton-Dyer conjecture, per Tunnell's theorem…
- Math-4199 Erdős–Moser problem
- Math-4200 Goormaghtigh conjecture