Ruzsa’s genus-one problem

witness #1855

N
16,550
|A|
100
exponent log |A| / log N
0.4741
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 19:30:00 UTC

Elements (100)

423, 433, 448, 458, 548, 558, 573, 583, 2413, 2438, 2538, 2563, 3733, 3740, 3758, 3765, 3858, 3865, 3883, 3890, 4400, 4404, 4405, 4409, 4425, 4429, 4430, 4434, 4525, 4529, 4530, 4534, 4550, 4554, 4555, 4559, 5723, 5748, 5848, 5873, 7048, 7053, 7073, 7078, 7173, 7178, 7198, 7203, 7709, 7710, 7720, 7734, 7735, 7745, 7834, 7835, 7845, 7859, 7860, 7870, 9043, 9068, 9168, 9193, 10360, 10370, 10385, 10395, 10485, 10495, 10510, 10520, 11019, 11029, 11044, 11054, 11144, 11154, 11169, 11179, 12348, 12373, 12473, 12498, 13675, 13680, 13700, 13705, 13800, 13805, 13825, 13830, 14340, 14365, 14465, 14490, 15663, 15688, 15788, 15813

Commentary

Movable-core continuation A=P+25*{0,1,5,6} from N=16575 to N=16550. A 4-block shake quickly recovered all 25 blocks, giving a 100-point parent with quotient gap 53 relative to N=15225.

last edited by Yongxi (Aaron) Lin at 2026-08-08 19:30:00 UTC · history

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