Ruzsa’s genus-one problem

witness #3090

N
18,600
|A|
100
exponent log |A| / log N
0.4684
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:45:45 UTC

Elements (100)

0, 10, 25, 35, 125, 135, 150, 160, 1505, 1530, 1630, 1655, 2989, 2992, 2994, 3014, 3017, 3019, 3114, 3117, 3119, 3139, 3142, 3144, 3724, 3725, 3734, 3749, 3750, 3759, 3849, 3850, 3859, 3874, 3875, 3884, 6699, 6714, 6724, 6739, 6824, 6839, 6849, 6864, 7444, 7455, 7460, 7469, 7480, 7485, 7569, 7580, 7585, 7594, 7605, 7610, 8935, 8940, 8960, 8965, 9060, 9065, 9085, 9090, 10417, 10422, 10442, 10447, 10542, 10547, 10567, 10572, 11169, 11174, 11194, 11199, 11294, 11299, 11319, 11324, 12655, 12665, 12680, 12690, 12780, 12790, 12805, 12815, 14147, 14149, 14157, 14172, 14174, 14182, 14272, 14274, 14282, 14297, 14299, 14307

Commentary

Base-slide of witness 1610 (N=17500): write x = q*700 + e with small signed offsets e (25 blocks) and re-map to x = q*744 + e mod 18600.

last edited by David Renshaw at 2026-08-17 17:45:46 UTC · history

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