Ruzsa’s genus-one problem

witness #1771

N
9,947
|A|
56
exponent log |A| / log N
0.4373
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 15:11:59 UTC

Elements (56)

0, 1, 7, 8, 35, 36, 42, 43, 405, 407, 412, 414, 440, 442, 447, 449, 609, 612, 616, 619, 644, 647, 651, 654, 808, 815, 843, 850, 1421, 1422, 1428, 1429, 1456, 1457, 1463, 1464, 1826, 1828, 1833, 1835, 1861, 1863, 1868, 1870, 2030, 2033, 2037, 2040, 2065, 2068, 2072, 2075, 2229, 2236, 2264, 2271

Commentary

29*7^3 test: standard radix lift A_1421 + 1421*A_7 from the 28-point record at 1421=29*7^2 and A_7={0,1}. Gives 56 points. Local delete/refill tests around this lift did not improve it in the initial pass; recording as a baseline for the 29*7^k tower.

last edited by Yongxi (Aaron) Lin at 2026-08-08 15:11:59 UTC · history

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