Ruzsa’s genus-one problem

witness #1540

N
35,525
|A|
110
exponent log |A| / log N
0.4486
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 20:15:59 UTC

Elements (110)

41, 66, 70, 124, 131, 160, 179, 186, 215, 229, 231, 266, 284, 324, 356, 374, 411, 414, 429, 450, 456, 566, 5116, 5141, 5145, 5199, 5206, 5235, 5254, 5261, 5290, 5304, 5306, 5341, 5359, 5399, 5431, 5449, 5486, 5489, 5504, 5525, 5531, 5641, 9466, 9491, 9495, 9549, 9556, 9585, 9604, 9611, 9640, 9654, 9656, 9691, 9709, 9749, 9781, 9799, 9836, 9839, 9854, 9875, 9881, 9991, 21066, 21091, 21095, 21149, 21156, 21185, 21204, 21211, 21240, 21254, 21256, 21291, 21309, 21349, 21381, 21399, 21436, 21439, 21454, 21475, 21481, 21591, 29766, 29791, 29795, 29849, 29856, 29885, 29904, 29911, 29940, 29954, 29956, 29991, 30009, 30049, 30081, 30099, 30136, 30139, 30154, 30175, 30181, 30291

Commentary

Direct sum-set/product lift from the 22-point record at N=725 (witness 1522) and the 5-point record at N=49 (witness 8): A={a+725d}. Product construction preserves the genus-one witness property.

last edited by Yongxi (Aaron) Lin at 2026-08-07 20:15:59 UTC · history

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