Ruzsa’s genus-one problem

witness #1850

N
16,625
|A|
100
exponent log |A| / log N
0.4738
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:27:28 UTC

Elements (100)

395, 398, 400, 408, 420, 423, 425, 433, 520, 523, 525, 533, 545, 548, 550, 558, 1075, 1100, 1200, 1225, 2383, 2393, 2408, 2418, 2508, 2518, 2533, 2543, 3725, 3733, 3750, 3758, 3850, 3858, 3875, 3883, 4384, 4394, 4409, 4419, 4509, 4519, 4534, 4544, 5723, 5748, 5848, 5873, 7045, 7048, 7053, 7060, 7070, 7073, 7078, 7085, 7170, 7173, 7178, 7185, 7195, 7198, 7203, 7210, 7709, 7710, 7720, 7734, 7735, 7745, 7834, 7835, 7845, 7859, 7860, 7870, 9043, 9048, 9068, 9073, 9168, 9173, 9193, 9198, 11039, 11044, 11045, 11050, 11064, 11069, 11070, 11075, 11164, 11169, 11170, 11175, 11189, 11194, 11195, 11200

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16650 to N=16625. The first pass reached only 23 blocks; a widened accelerated shake search recovered all 25 blocks via a 10-block rearrangement on restart 59, giving 100 points.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:27:28 UTC · history

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