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Proved
AI × Math
Erdős Problem #1196
PE
AS
Erdős, Sárközy
2026
Watch
Number Theory
abc Secret Verification Project
SM
FK
Mochizuki, Kato
2026
Award
Number Theory
Faltings Abel Prize 2026
GF
PV
Faltings, Vojta
2026
Proved
Analysis
Kakeya Conjecture (2D)
SK
AB
Kakeya, Besicovitch
1971
Proved
Analysis
Kakeya Conjecture (3D)
JZ
Wang, Zahl
2025
Proved
Combinatorics
Four Color Theorem
KA
WH
Appel, Haken
1976
Proved
Geometry
Kepler Conjecture
JK
TC
Kepler, Hales
1998
Partial
Computer Science
Traveling Salesman Problem
MF
RK
Flood, Karp
1930
Resolved
Geometry
Aperiodic Monotile Problem
DS
JM
Smith, Myers
2023
Open
Analysis
Mandelbrot Local Connectivity
BM
AD
Mandelbrot, Douady
1982
Open
Geometry
Square Peg Problem
OT
JE
Toeplitz, Greene
1911
Partial
Combinatorics
Hadwiger-Nelson Problem
HH
EN
Hadwiger, Nelson
1950
Resolved
Analysis
Plateau's Problem
JP
JD
Plateau, Douglas
1931
Partial
Geometry
Kissing Number Problem
IN
DG
Newton, Gregory
1694
Partial
Computer Science
Steiner Tree Problem
JS
EG
Steiner, Gilbert
1836
Proved
Geometry
Isoperimetric Problem
D
JS
Dido, Steiner
1838
Proved
Geometry
Honeycomb Conjecture
TH
LF
Hales, Toth
1999
Proved
Topology
Brouwer Fixed Point Theorem
LE
JH
Brouwer, Hadamard
1911
Proved
Topology
Borsuk–Ulam Theorem
KB
SU
Borsuk, Ulam
1933
Proved
Geometry
Ham Sandwich Theorem
AH
JW
Stone, Tukey
1942
Proved
Topology
Hairy Ball Theorem
HP
LE
Poincaré, Brouwer
1912
Open
Number Theory
Gauss Circle Problem
CF
GH
Gauss, Hardy
1837
Watch
Geometry
Moving Sofa Problem
LM
JG
Moser, Gerver
1966
Open
Geometry
Moser's Worm Problem
LM
RN
Moser, Norwood
1966
Open
Geometry
Lebesgue's Universal Cover
HL
GP
Lebesgue, Pál
1914
Open
Geometry
Illumination Problem
HH
VB
Hadwiger, Boltyansky
1957
Proved
Algebra
Geometric Langlands Conjecture
SR
Gaitsgory, Raskin
2024
Resolved
Math Physics
Hilbert's Sixth Problem
YD
ZH
Deng, Hani
2025
Disproved
Analysis
Mizohata-Takeuchi Conjecture
HC
SM
Cairo, Mizohata
2025
Disproved
Geometry
The Noperthedron
JS
SY
Steininger, Yurkevich
2025
Resolved
AI × Math
AlphaEvolve × Strassen
AN
MB
Novikov, Balog
2025
Open
Number Theory
Riemann Hypothesis
BR
JH
Riemann, Hadamard
1859
Open
Computer Science
P vs NP
SC
LL
Cook, Levin
1971
Open
Analysis
Navier-Stokes Existence and Smoothness
CF
JL
Fefferman, Leray
1822
Open
Geometry
Hodge Conjecture
WV
PD
Hodge, Deligne
1950
Open
Number Theory
Birch and Swinnerton-Dyer Conjecture
BB
PS
Birch, Swinnerton-Dyer
1965
Open
Math Physics
Yang-Mills Existence and Mass Gap
AJ
EW
Jaffe, Witten
1954
Open
Number Theory
Collatz Conjecture
LC
TT
Collatz, Tao
1937
Open
Number Theory
Goldbach's Conjecture
CG
HH
Goldbach, Helfgott
1742
Partial
Number Theory
Twin Prime Conjecture
YZ
JM
Zhang, Maynard
1849
Open
Number Theory
abc Conjecture
JO
DM
Oesterle, Masser
1985
Resolved
Logic
Continuum Hypothesis
GC
KG
Cantor, Godel
1963
Proved
Topology
Poincaré Conjecture
HP
GP
Poincaré, Perelman
2003