Ruzsa’s genus-one problem

witness #1610

N
17,500
|A|
100
exponent log |A| / log N
0.4714
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:17:57 UTC

Elements (100)

0, 10, 25, 35, 125, 135, 150, 160, 1417, 1442, 1542, 1567, 2813, 2816, 2818, 2838, 2841, 2843, 2938, 2941, 2943, 2963, 2966, 2968, 3504, 3505, 3514, 3529, 3530, 3539, 3629, 3630, 3639, 3654, 3655, 3664, 6303, 6318, 6328, 6343, 6428, 6443, 6453, 6468, 7004, 7015, 7020, 7029, 7040, 7045, 7129, 7140, 7145, 7154, 7165, 7170, 8407, 8412, 8432, 8437, 8532, 8537, 8557, 8562, 9801, 9806, 9826, 9831, 9926, 9931, 9951, 9956, 10509, 10514, 10534, 10539, 10634, 10639, 10659, 10664, 11907, 11917, 11932, 11942, 12032, 12042, 12057, 12067, 13311, 13313, 13321, 13336, 13338, 13346, 13436, 13438, 13446, 13461, 13463, 13471

Commentary

Further growth in the compression chain originating from the 94-point N=17625 sumset #1591. At N=17500, after one-conflict affine compression and regrowth, coordinated mutations climbed from 99 to 100 points. This is six points larger than the original parent at a smaller modulus.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:17:57 UTC · history

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