Ruzsa’s genus-one problem

witness #2238

N
31,625
|A|
125
exponent log |A| / log N
0.4660
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:41:29 UTC

Elements (125)

0, 12, 254, 259, 1774, 1775, 1779, 1785, 2532, 2535, 2537, 2540, 3039, 3040, 3045, 3049, 3795, 3797, 3805, 3807, 4049, 4059, 5324, 5579, 5580, 12675, 12687, 12700, 12712, 12929, 12934, 12954, 12959, 14449, 14450, 14454, 14460, 14474, 14475, 14479, 14485, 15207, 15210, 15212, 15215, 15232, 15235, 15237, 15240, 15714, 15715, 15720, 15724, 15739, 15740, 15745, 15749, 16470, 16472, 16480, 16482, 16495, 16497, 16505, 16507, 16724, 16734, 16749, 16759, 17999, 18024, 18254, 18255, 18279, 18280, 18975, 18987, 19025, 19037, 19229, 19234, 19279, 19284, 20749, 20750, 20754, 20760, 20799, 20800, 20804, 20810, 21507, 21510, 21512, 21515, 21557, 21560, 21562, 21565, 22014, 22015, 22020, 22024, 22064, 22065, 22070, 22074, 22770, 22772, 22780, 22782, 22820, 22822, 22830, 22832, 23024, 23034, 23074, 23084, 24299, 24349, 24554, 24555, 24604, 24605

Commentary

Full 125-point boundary success at q=253 from the N=3900-derived span-14 core. Using horizontal coordinate h=3v (vertical w=16u+12v) and the standard exact 5-code H={(0,0),(2,1),(2,2),(3,0),(3,2)} eliminates all wraparound conflicts.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:41:29 UTC · history

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