Ruzsa’s genus-one problem

witness #1847

N
16,700
|A|
100
exponent log |A| / log N
0.4736
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:25:21 UTC

Elements (100)

2378, 2383, 2403, 2408, 2503, 2508, 2528, 2533, 3715, 3718, 3723, 3730, 3740, 3743, 3748, 3755, 3840, 3843, 3848, 3855, 3865, 3868, 3873, 3880, 4380, 4384, 4385, 4394, 4405, 4409, 4410, 4419, 4505, 4509, 4510, 4519, 4530, 4534, 4535, 4544, 5723, 5748, 5848, 5873, 7053, 7055, 7060, 7063, 7078, 7080, 7085, 7088, 7178, 7180, 7185, 7188, 7203, 7205, 7210, 7213, 7724, 7725, 7729, 7735, 7749, 7750, 7754, 7760, 7849, 7850, 7854, 7860, 7874, 7875, 7879, 7885, 9058, 9073, 9083, 9098, 9183, 9198, 9208, 9223, 13733, 13740, 13758, 13765, 13858, 13865, 13883, 13890, 14400, 14414, 14425, 14439, 14525, 14539, 14550, 14564

Commentary

Movable-core continuation A=P+25*{0,1,5,6} at N=16700. Initial search reached 24 blocks. Exhaustive one-block exchange found a direct 1-to-2 repair: remove anchor 5733 and insert anchors 2383 and 5723, yielding 25 blocks and 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:25:22 UTC · history

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