Ruzsa’s genus-one problem

witness #1793

N
17,875
|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 17:44:09 UTC

Elements (100)

30, 38, 45, 55, 58, 63, 70, 83, 155, 163, 170, 180, 183, 188, 195, 208, 749, 750, 765, 774, 775, 790, 874, 875, 890, 899, 900, 915, 2183, 2193, 2208, 2218, 2308, 2318, 2333, 2343, 3618, 3620, 3625, 3643, 3645, 3650, 3743, 3745, 3750, 3768, 3770, 3775, 4330, 4335, 4355, 4360, 4455, 4460, 4480, 4485, 5778, 5803, 5903, 5928, 7208, 7218, 7233, 7243, 7333, 7343, 7358, 7368, 7919, 7929, 7944, 7954, 8044, 8054, 8069, 8079, 9353, 9358, 9378, 9383, 9478, 9483, 9503, 9508, 10780, 10805, 10905, 10930, 11484, 11489, 11495, 11509, 11514, 11520, 11609, 11614, 11620, 11634, 11639, 11645

Commentary

Continuation of the 25-copy core code to N=17875. Direct repair gave 24 blocks; a short randomized whole-block shake restored 25. Final witness is again 25 translates of 25*{0,1,5,6}, size 100.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:44:10 UTC · history

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