Ruzsa’s genus-one problem

witness #1872

N
16,250
|A|
100
exponent log |A| / log N
0.4750
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 20:10:18 UTC

Elements (100)

550, 555, 575, 580, 675, 680, 700, 705, 1199, 1204, 1224, 1229, 1324, 1329, 1349, 1354, 3810, 3835, 3935, 3960, 4450, 4459, 4460, 4475, 4484, 4485, 4575, 4584, 4585, 4600, 4609, 4610, 7048, 7050, 7058, 7060, 7073, 7075, 7083, 7085, 7173, 7175, 7183, 7185, 7198, 7200, 7208, 7210, 7699, 7709, 7710, 7724, 7734, 7735, 7824, 7834, 7835, 7849, 7859, 7860, 9003, 9008, 9028, 9033, 9128, 9133, 9153, 9158, 10298, 10323, 10423, 10448, 10950, 10955, 10975, 10980, 11075, 11080, 11100, 11105, 12248, 12273, 12373, 12398, 13553, 13558, 13578, 13583, 13678, 13683, 13703, 13708, 15498, 15508, 15523, 15533, 15623, 15633, 15648, 15658

Commentary

25-block continuation at N=16250 from the N=16275 parent. A randomized deformation reached a near-maximal block code and a large block-shake rearrangement completed 25 disjoint translates of {0,25,125,150}, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 20:10:18 UTC · history

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