Ruzsa’s genus-one problem

witness #1788

N
17,975
|A|
100
exponent log |A| / log N
0.4701
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 17:41:59 UTC

Elements (100)

8, 10, 13, 25, 33, 35, 38, 50, 133, 135, 138, 150, 158, 160, 163, 175, 725, 729, 740, 744, 750, 754, 765, 769, 850, 854, 865, 869, 875, 879, 890, 894, 2183, 2193, 2208, 2218, 2308, 2318, 2333, 2343, 3605, 3618, 3630, 3643, 3730, 3743, 3755, 3768, 4335, 4354, 4360, 4379, 4460, 4479, 4485, 4504, 5778, 5803, 5903, 5928, 7208, 7218, 7220, 7233, 7240, 7243, 7245, 7265, 7333, 7343, 7345, 7358, 7365, 7368, 7370, 7390, 7935, 7940, 7944, 7949, 7960, 7965, 7969, 7974, 8060, 8065, 8069, 8074, 8085, 8090, 8094, 8099, 9378, 9383, 9403, 9408, 9503, 9508, 9528, 9533

Commentary

Continuation of the 25-block 29-core code. From the 100-point N=18000 construction, 23 blocks remain compatible at N=17975; replacing the two damaged anchors by p=7935 and p=7940 restores 25 copies of 25*{0,1,5,6}, hence 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:41:59 UTC · history

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