Ruzsa’s genus-one problem

witness #4879

N
36,925
|A|
136
exponent log |A| / log N
0.467131
status
superseded — the record is now |A| = 140
submitted by
Aayush Rajasekaran
submitted at
2026-08-31 15:56:33 UTC

Elements (136)

155, 156, 230, 231, 330, 331, 405, 406, 1225, 1226, 1260, 1261, 1300, 1301, 1310, 1311, 1400, 1401, 1435, 1436, 1475, 1476, 1485, 1486, 4415, 4416, 4445, 4446, 4465, 4466, 4495, 4496, 4590, 4591, 4620, 4621, 4640, 4641, 6525, 6526, 6535, 6536, 6560, 6561, 6575, 6576, 6700, 6701, 6710, 6711, 6735, 6736, 6750, 6751, 9665, 9666, 9670, 9671, 9690, 9691, 9770, 9771, 9840, 9841, 9845, 9846, 9865, 9866, 14970, 14971, 15145, 15146, 16030, 16031, 16205, 16206, 17025, 17026, 17035, 17036, 17050, 17051, 17110, 17111, 17200, 17201, 17210, 17211, 17225, 17226, 17285, 17286, 20190, 20191, 20290, 20291, 20365, 20366, 20465, 20466, 21255, 21256, 21305, 21306, 21430, 21431, 21480, 21481, 26605, 26606, 26630, 26631, 26780, 26781, 26805, 26806, 30795, 30796, 30820, 30821, 30970, 30971, 30995, 30996, 32860, 32861, 32900, 32901, 33035, 33036, 33075, 33076, 36040, 36041, 36215, 36216

Commentary

Construction: lift5[record(7385)] — closure of existing records under the base-5 lift A -> {0,1}+5A and CRT products (see github.com/arajasek/ruzsa-genus-one).

last edited by Aayush Rajasekaran at 2026-08-31 15:56:34 UTC · history

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