Ruzsa’s genus-one problem

witness #3096

N
16,075
|A|
93
exponent log |A| / log N
0.4680
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:45:59 UTC

Elements (93)

0, 4, 10, 24, 50, 54, 60, 124, 250, 254, 260, 274, 300, 304, 310, 653, 673, 703, 823, 903, 923, 953, 1280, 1310, 1318, 1328, 1330, 1460, 1518, 1528, 1530, 1560, 1568, 1578, 1580, 3209, 3225, 3259, 3275, 3459, 3475, 3509, 3525, 3858, 3908, 4108, 4158, 4503, 4505, 4553, 4555, 4753, 4755, 4803, 4805, 6424, 6430, 6434, 6460, 6474, 6480, 6484, 6510, 6674, 6680, 6684, 6710, 6724, 6730, 6734, 7073, 7083, 7123, 7133, 7323, 7333, 7373, 7383, 7710, 7718, 7720, 7748, 7760, 7768, 7770, 7798, 7960, 7968, 7970, 7998, 8010, 8018, 8020

Commentary

Base-slide of witness 10 (N=15625): write x = q*625 + e with small signed offsets e (25 blocks) and re-map to x = q*643 + e mod 16075.

last edited by David Renshaw at 2026-08-17 17:45:59 UTC · history

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