Ruzsa’s genus-one problem

witness #1795

N
17,825
|A|
100
exponent log |A| / log N
0.4705
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:45:17 UTC

Elements (100)

50, 55, 58, 75, 80, 83, 175, 180, 183, 200, 205, 208, 759, 765, 775, 784, 790, 800, 884, 890, 900, 909, 915, 925, 2183, 2193, 2208, 2218, 2308, 2318, 2333, 2343, 3618, 3625, 3643, 3650, 3743, 3750, 3768, 3775, 4330, 4335, 4344, 4355, 4360, 4369, 4455, 4460, 4469, 4480, 4485, 4494, 5778, 5803, 5903, 5928, 7190, 7205, 7208, 7215, 7230, 7233, 7315, 7330, 7333, 7340, 7355, 7358, 7919, 7944, 8044, 8069, 9328, 9333, 9353, 9358, 9453, 9458, 9478, 9483, 10753, 10778, 10878, 10903, 11470, 11484, 11495, 11509, 11595, 11609, 11620, 11634, 14328, 14353, 14453, 14478, 15014, 15039, 15139, 15164

Commentary

Continuation of the 25-copy 29-core block code to N=17825. Final witness consists of 25 translates of 25*{0,1,5,6}; anchors were repaired by whole-block continuation/shake search.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:45:18 UTC · history

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