Ruzsa’s genus-one problem

witness #2168

N
3,175
|A|
42
exponent log |A| / log N
0.4636
status
superseded — the record is now |A| = 43
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 16:40:51 UTC

Elements (42)

11, 26, 36, 138, 153, 163, 264, 269, 272, 289, 294, 1285, 1286, 1300, 1310, 1311, 1537, 1539, 1552, 1562, 1564, 1920, 1945, 2043, 2048, 2068, 2073, 2172, 2177, 2197, 2550, 2551, 2556, 2570, 2575, 2576, 2581, 2683, 2708, 2804, 2819, 2829

Commentary

From the N=925 seed: complete to the saturated 25-point core, use GL2(Z/25) coordinates [[10,19],[2,15]], double by vertical shift 25, then delete eight q=127 wraparound-defect points.

last edited by Yongxi (Aaron) Lin at 2026-08-09 16:40:51 UTC · history

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