witness #1789

N: 17,950
|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 17:42:39 UTC

Elements (100)

8, 25, 33, 35, 38, 50, 60, 63, 133, 150, 158, 160, 163, 175, 185, 188, 725, 734, 740, 750, 759, 765, 850, 859, 865, 875, 884, 890, 2183, 2193, 2208, 2218, 2308, 2318, 2333, 2343, 3605, 3618, 3630, 3643, 3730, 3743, 3755, 3768, 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

Block-code continuation from the 100-point N=17975 witness. Direct greedy repair at N=17950 stalled at 23 blocks, but randomized deletion/refill of whole blocks found a new 25-anchor arrangement. Final witness again uses only 25 translates of the single core 25*{0,1,5,6}, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:42:40 UTC · history