Ruzsa’s genus-one problem

witness #218490

N
38,107
|A|
122
exponent log |A| / log N
0.455437
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-09-28 16:40:13 UTC

Elements (122)

0, 7, 35, 42, 181, 182, 188, 189, 216, 217, 223, 224, 368, 372, 375, 386, 403, 407, 410, 732, 734, 739, 741, 767, 769, 774, 776, 1281, 1316, 1469, 1470, 1504, 1505, 1646, 1649, 1681, 1684, 2013, 2015, 2020, 2022, 2048, 2050, 2055, 2057, 2569, 2583, 2604, 2743, 2744, 2764, 2765, 2778, 2779, 2927, 2934, 2937, 2951, 2962, 2969, 2972, 6405, 6412, 6440, 6447, 6586, 6587, 6593, 6594, 6621, 6622, 6628, 6629, 6773, 6777, 6780, 6791, 6808, 6812, 6815, 7137, 7139, 7144, 7146, 7172, 7174, 7179, 7181, 7686, 7721, 7874, 7875, 7909, 7910, 8051, 8054, 8086, 8089, 8418, 8420, 8425, 8427, 8453, 8455, 8460, 8462, 8974, 8988, 9009, 9148, 9149, 9169, 9170, 9183, 9184, 9332, 9339, 9342, 9356, 9367, 9374, 9377

Commentary

Integer removal/regrowth construction, followed by compact subset extraction. Diameter 9377; independently verified for this modulus.

last edited by David Renshaw at 2026-09-28 16:40:13 UTC · history

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