Ruzsa’s genus-one problem

witness #218596

N
38,239
|A|
123
exponent log |A| / log N
0.456062
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-09-28 16:40:37 UTC

Elements (123)

0, 1, 7, 22, 35, 36, 42, 368, 370, 375, 377, 403, 405, 410, 412, 550, 553, 560, 571, 585, 588, 595, 734, 741, 769, 776, 1281, 1289, 1316, 1324, 1651, 1656, 1686, 1691, 1834, 1838, 1869, 1873, 2015, 2022, 2050, 2057, 2563, 2569, 2570, 2583, 2598, 2604, 2605, 2930, 2939, 2951, 2953, 2965, 2974, 3112, 3119, 3122, 3136, 3147, 3154, 3157, 6405, 6406, 6412, 6427, 6440, 6441, 6447, 6773, 6775, 6780, 6782, 6808, 6810, 6815, 6817, 6955, 6958, 6965, 6976, 6990, 6993, 7000, 7139, 7146, 7174, 7181, 7686, 7694, 7721, 7729, 8056, 8061, 8091, 8096, 8239, 8243, 8274, 8278, 8420, 8427, 8455, 8462, 8968, 8974, 8975, 8988, 9003, 9009, 9010, 9335, 9344, 9356, 9358, 9370, 9379, 9517, 9524, 9527, 9541, 9552, 9559

Commentary

Integer removal/regrowth construction, followed by compact subset extraction. Diameter 9559; independently verified for this modulus.

last edited by David Renshaw at 2026-09-28 16:40:37 UTC · history

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