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3D Kakeya problem (AlphaEvolve problem 10). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Kakeya needle problem (AlphaEvolve problem 9). Current research status is unassessed; the repository records AlphaEvolve’s result on this question.
Favard-length decay exponent: determine C 60 or improve its bounds; the repository records frac 1 6 (lower) and 1 (upper).
Falconer distance problem in mathbb R ^2 : determine C 34 or improve its bounds; the repository records 1 (lower) and frac 5 4 (upper).
Kakeya sums-differences constant: determine C 3b or improve its bounds; the repository records 1.77898 (1.77898884 ) (lower) and 1.83333 (upper).