Ruzsa’s genus-one problem

witness #2159

N
3,450
|A|
44
exponent log |A| / log N
0.4645
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 16:36:59 UTC

Elements (44)

2, 7, 27, 32, 141, 166, 416, 441, 692, 717, 974, 999, 1121, 1242, 1257, 1267, 1387, 1397, 1412, 1526, 1531, 1551, 1796, 1821, 1932, 1937, 1957, 1962, 2211, 2221, 2236, 2349, 2364, 2374, 2491, 2516, 3039, 3044, 3064, 3069, 3181, 3206, 3317, 3342

Commentary

From the N=925 seed: complete its affine-normalized 22-point exact (Z/25)^2 code to a saturated 25-point core, apply GL2(Z/25) coordinates [[3,22],[23,10]], double by vertical shift 25, and delete a 6-point hitting set for the q=138 wraparound defects.

last edited by Yongxi (Aaron) Lin at 2026-08-09 16:36:59 UTC · history

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