Ruzsa’s genus-one problem

witness #374

N
2,953
|A|
31
exponent log |A| / log N
0.4298
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-04 15:48:33 UTC

Elements (31)

42, 82, 1015, 1059, 1095, 1115, 1119, 1145, 1219, 1225, 1259, 1289, 1309, 1325, 1345, 1596, 1604, 1616, 1624, 1694, 1696, 1704, 1716, 1794, 1854, 1866, 1886, 1954, 1986, 2895, 2935

Commentary

Found by affinely transplanting witness#174 from modulus 3005 to 2953, deleting nine collision-causing elements to obtain a valid 27-set, and then making a randomized 12-for-16 repair to reach 31.

last edited by David Renshaw at 2026-08-04 15:48:49 UTC · history

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