Ruzsa’s genus-one problem

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witness #3159

N
3,225
|A|
43
exponent log |A| / log N
0.4656
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:48:17 UTC

Elements (43)

239, 241, 269, 271, 289, 291, 368, 398, 418, 499, 503, 509, 543, 549, 553, 559, 894, 896, 944, 946, 1023, 1073, 1144, 1188, 1194, 1529, 1531, 1539, 1541, 1579, 1581, 1589, 1591, 1658, 1668, 1708, 1718, 1793, 1799, 1813, 1819, 1843, 1849

Commentary

Base-slide of witness 16 (N=3125): write x = q*125 + e with small signed offsets e (25 blocks) and re-map to x = q*129 + e mod 3225.

last edited by David Renshaw at 2026-08-17 17:48:17 UTC · history

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