AlphaEvolve Repository of Problems — Georgiev, Gómez-Serrano, Tao & Wagner
59 of the 67 problem pages, with AlphaEvolve result categories and recorded bounds; 8 pages are rediscovery tests of classical results, competition problems or puzzles and remain catalogue-only. The repository records AlphaEvolve performance, not the current status of each question.
67 catalogue entries · 59 new problem records · 59 catalogue entries linked to problem records
Catalogue entries can be source pointers, solved items or groups of questions. They are not added to the main problem count. Status reflects the saved source, inspected 2026-10-10.
Original collection ↗Attribution and reuse
Apache-2.0 (repository license); problem pages reproduced with attribution.
67 matching entries
Clear filtersKakeya and Nikodym sets in finite fields (AlphaEvolve problem 1)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
AlphaEvolve improved on the best known result recorded at the time
How much can an autocorrelation of a non-negative function resemble an indicator function? (AlphaEvolve problem 3)
Status unassessedAlphaEvolve held the record, which has since been improved
An autocorrelation problem with functions that can take negative values (AlphaEvolve problem 4)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
Erdős minimum overlap problem (AlphaEvolve problem 5)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
AlphaEvolve did not reach the best known result
Difference Bases (AlphaEvolve problem 7)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
Kissing numbers (AlphaEvolve problem 8)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
Kakeya needle problem (AlphaEvolve problem 9)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
3D Kakeya problem (AlphaEvolve problem 10)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
Uncertainty principle (AlphaEvolve problem 11)
Status unassessedAlphaEvolve did not reach the best known result
Sphere Packing (AlphaEvolve problem 12)
Status unassessedUncategorized
A Linear Programming Bound (AlphaEvolve problem 13)
Status unassessedUncategorized
Hausdorff-Young Inequality (AlphaEvolve problem 14)
Status unassessedAlphaEvolve matched the known or conjectured optimum
Not imported as an open-problem record: Classical sharp constant: Beckner (1975) determined the optimal Hausdorff–Young constant; the page is a rediscovery benchmark, not an open question.
Gagliardo-Nirenberg Inequality (AlphaEvolve problem 15)
Status unassessedAlphaEvolve matched the known or conjectured optimum
AlphaEvolve matched the known or conjectured optimum
Young's Convolution Inequality (AlphaEvolve problem 17)
Status unassessedAlphaEvolve matched the known or conjectured optimum
Not imported as an open-problem record: Classical sharp constant: Beckner (1975) and Brascamp–Lieb (1976) determined the optimal Young convolution constant; rediscovery benchmark.
Hardy-Littlewood Maximal Inequality (AlphaEvolve problem 18)
Status unassessedAlphaEvolve did not reach the best known result
Not imported as an open-problem record: Known answer: Melas (Annals of Mathematics, 2003) determined the best weak-type (1,1) constant of the centered one-dimensional maximal operator.
The Ovals Problem (AlphaEvolve problem 19)
Status unassessedAlphaEvolve matched the known or conjectured optimum
Sendov's Conjecture (AlphaEvolve problem 20)
Status unassessedUncategorized
Schmeisser's Conjecture (AlphaEvolve problem 21)
Status unassessedUncategorized
Borcea's Conjecture (AlphaEvolve problem 22)
Status unassessedUncategorized
Smale's Problem (AlphaEvolve problem 23)
Status unassessedUncategorized
de Bruin-Sharma Problem (AlphaEvolve problem 24)
Status unassessedUncategorized
Crouzeix's Conjecture (AlphaEvolve problem 25)
Status unassessedUncategorized
Sidorenko's Conjecture (AlphaEvolve problem 26)
Status unassessedUncategorized
The Prime Number Theorem (AlphaEvolve problem 27)
Status unassessedAlphaEvolve did not reach the best known result
Not imported as an open-problem record: Classical theorem: by the prime number theorem both limits equal 1; included in the repository as a rediscovery test.
Golay's Merit Factor (AlphaEvolve problem 28)
Status unassessedAlphaEvolve did not reach the best known result
Block Stacking Problem (AlphaEvolve problem 29)
Status unassessedAlphaEvolve matched the known or conjectured optimum
Not imported as an open-problem record: Classical solved puzzle (single-block-per-level overhang, harmonic-series answer); not a research question.
The Arithmetic Kakeya Conjecture (AlphaEvolve problem 30)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
Furstenberg-Sárközy Problem (AlphaEvolve problem 31)
Status unassessedUncategorized
Spherical Designs (AlphaEvolve problem 32)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
The Thomson Problem (AlphaEvolve problem 33)
Status unassessedUncategorized
Tammes problem (AlphaEvolve problem 34)
Status unassessedUncategorized
Packing in a dilate (AlphaEvolve problem 35)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
Circle packing in a square / rectangle (AlphaEvolve problem 36)
Status unassessedAlphaEvolve held the record, which has since been improved
Uncategorized
Factoring into numbers (AlphaEvolve problem 38)
Status unassessedAlphaEvolve held the record, which has since been improved
Beat the average game (AlphaEvolve problem 39)
Status unassessedAlphaEvolve did not reach the best known result
Erdős discrepancy problem (AlphaEvolve problem 40)
Status unassessedAlphaEvolve did not reach the best known result
Points on sphere maximizing the volume (AlphaEvolve problem 41)
Status unassessedUncategorized
Sum-difference problem I (AlphaEvolve problem 42)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
Sum-difference problem II (AlphaEvolve problem 43)
Status unassessedAlphaEvolve did not reach the best known result
Sum-difference problem III (AlphaEvolve problem 44)
Status unassessedAlphaEvolve held the record, which has since been improved
Sum-product problems (AlphaEvolve problem 45)
Status unassessedUncategorized
Minimal triangle density in graphs (AlphaEvolve problem 46)
Status unassessedAlphaEvolve matched the known or conjectured optimum
Uncategorized
Heilbronn problem in a fixed bounding box (AlphaEvolve problem 48)
Status unassessedAlphaEvolve improved on the best known result recorded at the time
AlphaEvolve improved on the best known result recorded at the time
Max to min ratios (AlphaEvolve problem 50)
Status unassessedAlphaEvolve improved on the best known result recorded at the time