Ruzsa’s genus-one problem

witness #3191

N
15,550
|A|
89
exponent log |A| / log N
0.4651
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:49:27 UTC

Elements (89)

5, 30, 130, 155, 1247, 1259, 1272, 1309, 1372, 1384, 1397, 3110, 3135, 3235, 3260, 4359, 4362, 4384, 4387, 4484, 4487, 4509, 6224, 6234, 6235, 6249, 6334, 6335, 6349, 6359, 6360, 6374, 6845, 6860, 6870, 6910, 6970, 6985, 6995, 7464, 7482, 7489, 7557, 7589, 7607, 7614, 9330, 9344, 9355, 9369, 9455, 9469, 9480, 9960, 9985, 10085, 10574, 10582, 10599, 10607, 10699, 10707, 10724, 12444, 12445, 12449, 12469, 12470, 12474, 12569, 12570, 12574, 12594, 12595, 13065, 13070, 13090, 13095, 13190, 13195, 13215, 13687, 13689, 13712, 13714, 13812, 13814, 13837, 13839

Commentary

Base-slide of witness 1605 (N=15525): write x = q*621 + e with small signed offsets e (25 blocks) and re-map to x = q*622 + e mod 15550.

last edited by David Renshaw at 2026-08-17 17:49:27 UTC · history

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