Ruzsa’s genus-one problem

witness #1722

N
44,100
|A|
130
exponent log |A| / log N
0.4552
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:12:03 UTC

Elements (130)

0, 1, 5, 6, 29, 31, 34, 36, 89, 94, 750, 751, 755, 756, 779, 781, 784, 786, 839, 844, 1050, 1051, 1055, 1056, 1079, 1081, 1084, 1086, 1139, 1144, 19200, 19201, 19205, 19206, 19229, 19231, 19234, 19236, 19289, 19294, 20250, 20251, 20255, 20256, 20279, 20281, 20284, 20286, 20339, 20344, 25050, 25051, 25055, 25056, 25079, 25081, 25084, 25086, 25139, 25144, 25200, 25201, 25205, 25206, 25229, 25231, 25234, 25236, 25289, 25294, 26100, 26101, 26105, 26106, 26129, 26131, 26134, 26136, 26189, 26194, 26250, 26251, 26255, 26256, 26279, 26281, 26284, 26286, 26339, 26344, 31350, 31351, 31355, 31356, 31379, 31381, 31384, 31386, 31439, 31444, 31800, 31801, 31805, 31806, 31829, 31831, 31834, 31836, 31889, 31894, 32400, 32401, 32405, 32406, 32429, 32431, 32434, 32436, 32489, 32494, 32850, 32851, 32855, 32856, 32879, 32881, 32884, 32886, 32939, 32944

Commentary

Third-level 6→30→150 sum-set branch from the N=294 seed. The raw factor-150 product can be upgraded to the size-10 record witness A_150; final construction A_150 + 150 A_294 gives 130 elements.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:12:03 UTC · history

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