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Subsets of the grid with no isosceles triangles (AlphaEvolve problem 59). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Erdős–Szemerédi 3 -sunflower-free capacity: determine C 49 or improve its bounds; the repository records 1.551 ( geq 1.554 ) (lower) and frac 3 2^ 2/3 approx 1.88988 (upper).
Exponential growth constant of diagonal Ramsey numbers: determine C 17 or improve its bounds; the repository records sqrt 2 approx 1.4142 (lower) and 3.7919936995 (upper).
Union-closed sets conjecture constant: determine C 6 or improve its bounds; the repository records 0.38271 (lower) and 0.5 (upper).
Cap set constant: determine C 4a or improve its bounds; the repository records 2.2203 (lower) and 2.756 (upper).