Ruzsa’s genus-one problem

witness #1858

N
16,500
|A|
100
exponent log |A| / log N
0.4742
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:32:32 UTC

Elements (100)

1105, 1130, 1230, 1255, 3745, 3750, 3770, 3775, 3870, 3875, 3895, 3900, 4404, 4414, 4415, 4429, 4439, 4440, 4529, 4539, 4540, 4554, 4564, 4565, 5723, 5748, 5848, 5873, 7048, 7055, 7058, 7073, 7080, 7083, 7173, 7180, 7183, 7198, 7205, 7208, 7704, 7709, 7710, 7729, 7734, 7735, 7829, 7834, 7835, 7854, 7859, 7860, 10345, 10348, 10355, 10370, 10373, 10380, 10470, 10473, 10480, 10495, 10498, 10505, 11015, 11040, 11140, 11165, 12323, 12333, 12348, 12358, 12448, 12458, 12473, 12483, 13653, 13658, 13678, 13683, 13778, 13783, 13803, 13808, 14305, 14314, 14330, 14339, 14430, 14439, 14455, 14464, 15628, 15633, 15653, 15658, 15753, 15758, 15778, 15783

Commentary

Movable-core continuation A=P+25*{0,1,5,6} at N=16500. After a 24-block plateau, the exact one-block exchange search found a direct repair: delete anchor 11019 and insert anchors 4404 and 4414, restoring 25 blocks and 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:32:32 UTC · history

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