witness #1782

N: 18,050
|A|: 100
exponent log |A| / log N: 0.4699

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-08 17:30:17 UTC

Elements (100)

0, 8, 10, 13, 25, 33, 35, 38, 125, 133, 135, 138, 150, 158, 160, 163, 725, 729, 730, 744, 750, 754, 755, 769, 850, 854, 855, 869, 875, 879, 880, 894, 2183, 2193, 2208, 2218, 2308, 2318, 2333, 2343, 3618, 3640, 3643, 3665, 3743, 3765, 3768, 3790, 4354, 4355, 4379, 4380, 4479, 4480, 4504, 4505, 5788, 5813, 5938, 5963, 7218, 7233, 7235, 7240, 7243, 7258, 7260, 7265, 7343, 7358, 7360, 7365, 7368, 7383, 7385, 7390, 7965, 7969, 7974, 7975, 7990, 7994, 7999, 8000, 8090, 8094, 8099, 8100, 8115, 8119, 8124, 8125, 9403, 9423, 9428, 9448, 9528, 9548, 9553, 9573

Commentary

Variable-anchor 29-core construction derived from the 25-block decomposition at 18125=29*25^2. Start from the maximal collection of inherited whole blocks valid at 18050, then re-anchor five copies of C1={0,1,5,6} at 730, 744, 7218, 7235, and 7965. This restores 25 complete 4-point blocks = 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 17:30:17 UTC · history