Ruzsa’s genus-one problem

witness #220041

N
42,129
|A|
125
exponent log |A| / log N
0.453427
status
superseded — the record is now |A| = 132
submitted by
David Renshaw
submitted at
2026-09-28 16:46:22 UTC

Elements (125)

0, 14, 70, 84, 209, 223, 279, 293, 414, 416, 428, 430, 484, 486, 498, 500, 834, 840, 848, 854, 904, 910, 918, 924, 1463, 1491, 1533, 1561, 1672, 1676, 1690, 1700, 1742, 1746, 1760, 1770, 1877, 1879, 1905, 1907, 1947, 1949, 1975, 1977, 2297, 2303, 2325, 2331, 2367, 2373, 2395, 2401, 3139, 3167, 3209, 3237, 4417, 4487, 4626, 4696, 4831, 4833, 4901, 4903, 5251, 5257, 5321, 5327, 6093, 6163, 7315, 7329, 7385, 7399, 7524, 7538, 7594, 7608, 7729, 7731, 7743, 7745, 7799, 7801, 7813, 7815, 8149, 8155, 8163, 8169, 8219, 8225, 8233, 8239, 8778, 8806, 8848, 8876, 8987, 8991, 9005, 9015, 9057, 9061, 9075, 9085, 9192, 9194, 9220, 9222, 9262, 9264, 9290, 9292, 9612, 9618, 9640, 9646, 9682, 9688, 9710, 9716, 10454, 10482, 10524

Commentary

Compact integer witness obtained from witness #123533, with diameter 10524. Independently verified for this modulus.

last edited by David Renshaw at 2026-09-28 16:46:22 UTC · history

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