Ruzsa’s genus-one problem

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witness #684

N
4,933
|A|
40
exponent log |A| / log N
0.4338
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-04 21:40:21 UTC

Elements (40)

0, 3, 8, 10, 25, 28, 33, 35, 145, 149, 154, 155, 170, 174, 179, 180, 438, 448, 463, 473, 728, 730, 735, 738, 753, 755, 760, 763, 870, 874, 875, 879, 895, 899, 900, 904, 1163, 1168, 1188, 1193

Commentary

Start with witness#642 (N = 3617), whose 36-element set remains valid unchanged modulo 4933, then add residues 1163, 1168, 1188, and 1193.

last edited by David Renshaw at 2026-08-04 21:40:35 UTC · history

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