Ruzsa’s genus-one problem

witness #1791

N
17,925
|A|
100
exponent log |A| / log N
0.4702
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:43:23 UTC

Elements (100)

30, 33, 38, 40, 55, 58, 63, 65, 155, 158, 163, 165, 180, 183, 188, 190, 734, 740, 750, 759, 765, 775, 859, 865, 875, 884, 890, 900, 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, 7929, 7935, 7940, 7944, 7954, 7960, 7965, 7969, 8054, 8060, 8065, 8069, 8079, 8085, 8090, 8094, 9358, 9378, 9383, 9403, 9483, 9503, 9508, 9528, 11509, 11529, 11534, 11554, 11634, 11654, 11659, 11679

Commentary

Corrected full 100-point continuation at N=17925 (previous payload accidentally omitted two elements). Starting from N=17950, 20 blocks survive unchanged and five anchors are moved; the final set is 25 copies of the core 25*{0,1,5,6}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:43:23 UTC · history

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