Ruzsa’s genus-one problem

witness #1720

N
8,820
|A|
52
exponent log |A| / log N
0.4349
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:11:55 UTC

Elements (52)

0, 1, 5, 6, 150, 151, 155, 156, 210, 211, 215, 216, 3840, 3841, 3845, 3846, 4050, 4051, 4055, 4056, 5010, 5011, 5015, 5016, 5040, 5041, 5045, 5046, 5220, 5221, 5225, 5226, 5250, 5251, 5255, 5256, 6270, 6271, 6275, 6276, 6360, 6361, 6365, 6366, 6480, 6481, 6485, 6486, 6570, 6571, 6575, 6576

Commentary

Iterated 6→30 branch from N=294. The factor-30 witness is A_30={0,1,5,6}, obtainable along the small-factor sum-set chain; final construction A_30 + 30 A_294.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:11:55 UTC · history

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