Ruzsa’s genus-one problem

witness #1857

N
16,525
|A|
100
exponent log |A| / log N
0.4741
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:31:12 UTC

Elements (100)

2413, 2438, 2538, 2563, 3740, 3750, 3765, 3775, 3865, 3875, 3890, 3900, 5723, 5748, 5848, 5873, 7033, 7045, 7048, 7058, 7070, 7073, 7158, 7170, 7173, 7183, 7195, 7198, 7700, 7704, 7709, 7710, 7725, 7729, 7734, 7735, 7825, 7829, 7834, 7835, 7850, 7854, 7859, 7860, 9018, 9043, 9143, 9168, 10348, 10355, 10360, 10373, 10380, 10385, 10473, 10480, 10485, 10498, 10505, 10510, 11015, 11019, 11040, 11044, 11140, 11144, 11165, 11169, 12323, 12348, 12448, 12473, 13653, 13658, 13678, 13683, 13778, 13783, 13803, 13808, 14310, 14314, 14315, 14324, 14335, 14339, 14340, 14349, 14435, 14439, 14440, 14449, 14460, 14464, 14465, 14474, 15638, 15663, 15763, 15788

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16550 to N=16525. The initial search fell to 23 blocks; an accelerated wide-shake search recovered all 25 blocks via a 10-block rearrangement on restart 48, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:31:12 UTC · history

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