Ruzsa’s genus-one problem

witness #1650

N
3,800
|A|
49
exponent log |A| / log N
0.4722
status
superseded — the record is now |A| = 50
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 02:00:40 UTC

Elements (49)

0, 1, 25, 26, 153, 178, 309, 334, 760, 761, 785, 786, 913, 938, 1062, 1069, 1072, 1087, 1094, 1097, 1530, 1531, 1555, 1556, 1683, 1708, 1834, 1837, 1859, 1862, 2285, 2286, 2310, 2311, 2438, 2463, 2592, 2597, 2604, 2617, 2622, 3050, 3051, 3075, 3076, 3203, 3228, 3354, 3379

Commentary

Further local compression/regrowth improvement at N=3800. Starting from the 48-point compressed witness, remove 1678, 1703, 3213 and add 153, 178, 913, 938. This exact 3-for-4 exchange yields 49 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 02:00:40 UTC · history

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