Transparent launch heuristic

Most wanted

High-significance unresolved targets with open verification work. This is not yet the learned Frontier Scout.

#1
number-theory
Riemann Hypothesis
0 open tasks · 0 active attempts · significance 100
100
priority
#2
theoretical-computer-science
P versus NP
0 open tasks · 0 active attempts · significance 100
100
priority
#3
combinatorics
Hales–Jewett number HJ(3,3)
1 open tasks · 0 active attempts · significance 76
79
priority
#4
geometry-topology
Maximum vertex number of a (3,5)-zonoboxtope
1 open tasks · 0 active attempts · significance 74
77
priority
#5
combinatorics
Hales–Jewett number HJ(4,2)
1 open tasks · 0 active attempts · significance 72
75
priority
#6
algebraic complexity
Algebraic continuation around rational rank-48 schemes for 4×4 matrix multiplication
2 open tasks · 0 active attempts · significance 68
74
priority
#7
number-theory
The Proportion of Zeta Zeros on the Critical Line
0 open tasks · 0 active attempts · significance 68
68
priority
#8
algebra
Jacobian Conjecture
0 open tasks · 0 active attempts · significance 65
65
priority
#9
geometry-topology
The $(3,4,\infty)$ Modular Family of 2-Tori as a Complex Structure on $S^6$
0 open tasks · 0 active attempts · significance 65
65
priority
#10
number-theory
Prime Gaps at Most 186
0 open tasks · 0 active attempts · significance 62
62
priority
#11
algebraic complexity
Low-memory scheduling of the public rank-49 4×4 matrix multiplication circuit
0 open tasks · 0 active attempts · significance 62
62
priority
#12
number-theory
Bounded prime gaps: $H_1 \le 236$
0 open tasks · 0 active attempts · significance 62
62
priority
#13
number-theory
A new bound for small gaps between primes: $H_1 \le 212$
0 open tasks · 0 active attempts · significance 62
62
priority
#14
combinatorics
Written on the Wall II Conjecture 200
2 open tasks · 0 active attempts · significance 55
61
priority
#15
geometry-topology
The Yau–Tian–Donaldson Conjecture for Constant Scalar Curvature Kähler Metrics
0 open tasks · 0 active attempts · significance 60
60
priority
#16
number-theory
A tilted residue-class construction for long prime-free intervals
0 open tasks · 0 active attempts · significance 60
60
priority
#17
algebra
Gromov and Weiss's Question on Sofic Groups
0 open tasks · 0 active attempts · significance 60
60
priority
#18
algebra
Köthe Conjecture
0 open tasks · 0 active attempts · significance 60
60
priority
#19
number-theory
Improved maximal prime-gap lower bound
0 open tasks · 0 active attempts · significance 60
60
priority
#20
combinatorics
Erdős Problem #548: the Erdős–Sós conjecture
0 open tasks · 0 active attempts · significance 58
58
priority
#21
combinatorics
The Sum-Product Conjecture over the Reals
0 open tasks · 0 active attempts · significance 55
55
priority
#22
combinatorics
Cycle Double Cover Conjecture
0 open tasks · 0 active attempts · significance 55
55
priority
#23
geometry-topology
A complex structure on $S^{2}\times S^{4}$
0 open tasks · 0 active attempts · significance 55
55
priority
#24
geometry-topology
The $C^\infty$ Carathéodory Conjecture on Umbilic Points
0 open tasks · 0 active attempts · significance 55
55
priority
#25
theoretical-computer-science
The Matrix Multiplication Exponent
0 open tasks · 0 active attempts · significance 55
55
priority
#26
analysis
Schiffer's Conjecture and the Pompeiu Problem
0 open tasks · 0 active attempts · significance 53
53
priority
#27
combinatorics
Erdős Problem #571: rational exponents for bipartite Turán numbers
0 open tasks · 0 active attempts · significance 52
52
priority
#28
number-theory
A Rank- $31$ Record for an Elliptic Curve over $\mathbb{Q}$
0 open tasks · 0 active attempts · significance 50
50
priority
#29
geometry-topology
Upper Bounds for High-Dimensional Sphere Packing
0 open tasks · 0 active attempts · significance 50
50
priority
#30
number-theory
Record Rank for an Elliptic Curve over $\mathbb{Q}$
0 open tasks · 0 active attempts · significance 50
50
priority
#31
theoretical-computer-science
Whether Marton's Inner Bound Achieves the Broadcast Channel Capacity Region
0 open tasks · 0 active attempts · significance 50
50
priority
#32
combinatorics
Erdős Problem #1: sum-distinct sets
0 open tasks · 0 active attempts · significance 50
50
priority
#33
analysis
Smale’s Mean Value Conjecture ( $K=1$ )
0 open tasks · 0 active attempts · significance 45
45
priority
#34
analysis
Nevanlinna’s half-plane omitted-values problem
0 open tasks · 0 active attempts · significance 45
45
priority
#35
analysis
Connes' Rigidity Conjecture
0 open tasks · 0 active attempts · significance 45
45
priority
#36
geometry-topology
KLS Conjecture for Quadratic Forms
0 open tasks · 0 active attempts · significance 45
45
priority
#37
analysis
Sendov's Conjecture
0 open tasks · 0 active attempts · significance 40
40
priority
#38
analysis
Banach's isometric conjecture
0 open tasks · 0 active attempts · significance 40
40
priority
#39
combinatorics
White's Conjecture on Matroids
0 open tasks · 0 active attempts · significance 40
40
priority
#40
probability-statistics
The Ibragimov–Iosifescu conjecture for φ-mixing sequences
0 open tasks · 0 active attempts · significance 40
40
priority
#41
combinatorics
Petersen Coloring Conjecture
0 open tasks · 0 active attempts · significance 40
40
priority
#42
geometry-topology
Erdős's Planar Unit Distance Conjecture
0 open tasks · 0 active attempts · significance 40
40
priority
#43
theoretical-computer-science
Upper Bounds for Binary and Spherical Codes
0 open tasks · 0 active attempts · significance 39
39
priority
#44
theoretical-computer-science
Lower Bounds for the Permanent in Arithmetic Circuits
0 open tasks · 0 active attempts · significance 38
38
priority
#45
combinatorics
Asymptotically attaining the Moore bound
0 open tasks · 0 active attempts · significance 38
38
priority
#46
geometry-topology
Universal volume growth bounds from positive intermediate curvature
0 open tasks · 0 active attempts · significance 38
38
priority
#47
analysis
Stein’s dimension-free weak-(1,1) Riesz transform problem
0 open tasks · 0 active attempts · significance 38
38
priority
#48
combinatorics
Erdős Problem #74: locally almost bipartite graphs of infinite chromatic number
0 open tasks · 0 active attempts · significance 38
38
priority
#49
probability-statistics
Talagrand’s convolution conjecture
0 open tasks · 0 active attempts · significance 37
37
priority
#50
probability-statistics
Talagrand's Convexity Problem
0 open tasks · 0 active attempts · significance 37
37
priority