Ruzsa’s genus-one problem

witness #1792

N
17,900
|A|
100
exponent log |A| / log N
0.4703
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:43:45 UTC

Elements (100)

30, 33, 38, 40, 55, 58, 63, 65, 155, 158, 163, 165, 180, 183, 188, 190, 749, 750, 765, 774, 775, 790, 874, 875, 890, 899, 900, 915, 2183, 2193, 2208, 2218, 2308, 2318, 2333, 2343, 3618, 3620, 3643, 3645, 3743, 3745, 3768, 3770, 4335, 4360, 4460, 4485, 5778, 5803, 5903, 5928, 7208, 7215, 7218, 7220, 7233, 7240, 7243, 7245, 7333, 7340, 7343, 7345, 7358, 7365, 7368, 7370, 7919, 7929, 7935, 7940, 7944, 7954, 7960, 7965, 8044, 8054, 8060, 8065, 8069, 8079, 8085, 8090, 9353, 9358, 9378, 9383, 9478, 9483, 9503, 9508, 11489, 11509, 11514, 11534, 11614, 11634, 11639, 11659

Commentary

Continuation of the single-core block code to N=17900. Greedy repair initially stalled at 24 blocks; an 8-run whole-block shake/refill found a 25-anchor arrangement. All 100 points are again 25 translates of 25*{0,1,5,6}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:43:45 UTC · history

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