Ruzsa’s genus-one problem

witness #1708

N
22,350
|A|
100
exponent log |A| / log N
0.4598
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:11:02 UTC

Elements (100)

0, 1, 2532, 2533, 2550, 2551, 2562, 2563, 2682, 2683, 2700, 2701, 2712, 2713, 3432, 3433, 3582, 3583, 4296, 4297, 4326, 4327, 4350, 4351, 4446, 4447, 4476, 4477, 4500, 4501, 6960, 6961, 7110, 7111, 7872, 7873, 8022, 8023, 8760, 8761, 8820, 8821, 8910, 8911, 8970, 8971, 11430, 11431, 11442, 11443, 11580, 11581, 11592, 11593, 12372, 12373, 12522, 12523, 15960, 15961, 16110, 16111, 16782, 16783, 16932, 16933, 17676, 17677, 17736, 17737, 17826, 17827, 17886, 17887, 20382, 20383, 20400, 20401, 20442, 20443, 20532, 20533, 20550, 20551, 20592, 20593, 21252, 21253, 21402, 21403, 22146, 22147, 22170, 22171, 22200, 22201, 22296, 22297, 22320, 22321

Commentary

Sum-set lift C=A_6+6A_3725, using A_6={0,1} and the high-density 50-element record at N=3725. Thus C={6b,6b+1:b in A_3725}.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:11:02 UTC · history

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