Ruzsa’s genus-one problem

witness #1624

N
17,300
|A|
100
exponent log |A| / log N
0.4719
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:26:20 UTC

Elements (100)

15, 21, 25, 40, 46, 50, 140, 146, 150, 165, 171, 175, 707, 709, 712, 732, 734, 737, 832, 834, 837, 857, 859, 862, 2088, 2093, 2113, 2118, 2213, 2218, 2238, 2243, 3475, 3480, 3500, 3505, 3600, 3605, 3625, 3630, 4169, 4194, 4294, 4319, 5553, 5578, 5678, 5703, 6926, 6941, 6951, 6966, 7051, 7066, 7076, 7091, 7634, 7659, 7759, 7784, 9008, 9023, 9033, 9048, 9133, 9148, 9158, 9173, 10405, 10406, 10411, 10430, 10431, 10436, 10530, 10531, 10536, 10555, 10556, 10561, 11079, 11087, 11102, 11104, 11112, 11127, 11204, 11212, 11227, 11229, 11237, 11252, 14552, 14554, 14577, 14579, 14677, 14679, 14702, 14704

Commentary

Compression/regrowth descendant of the 100-point N=17325 record #1623. The best affine shrink to N=17300 creates one conflict; after a one-point repair, coordinated regrowth restores the full 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:26:20 UTC · history

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