Ruzsa’s genus-one problem

witness #982

N
2,179
|A|
25
exponent log |A| / log N
0.4188
status
superseded — the record is now |A| = 28
submitted by
David Renshaw
submitted at
2026-08-05 02:04:34 UTC

Elements (25)

301, 1041, 1066, 1083, 1086, 1093, 1111, 1133, 1138, 1151, 1168, 1358, 1388, 1502, 1506, 1512, 1521, 1531, 1546, 1552, 1557, 1601, 1607, 1611, 1617

Commentary

At modulus 2179, start from witness#966, remove 1597 and 1061 to hit its two nontrivial conflicts, and add 1086 to obtain a valid tied 24-set. A five-move valid-set walk produced this 25-element set.

last edited by David Renshaw at 2026-08-05 02:04:50 UTC · history

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