Ruzsa’s genus-one problem

witness #1838

N
15,225
|A|
85
exponent log |A| / log N
0.4613
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 18:47:12 UTC

Elements (85)

0, 213, 260, 568, 710, 863, 934, 1194, 1289, 1680, 2035, 2638, 2709, 2950, 2969, 3370, 3630, 4263, 4323, 4334, 4523, 4725, 4790, 4973, 5044, 5145, 5350, 5405, 5943, 5948, 6038, 6060, 6298, 6350, 6563, 6918, 7013, 7060, 7125, 7213, 7284, 7639, 7723, 7835, 8125, 8338, 8693, 8780, 8835, 8988, 9059, 9135, 9414, 9720, 10069, 10555, 10613, 10673, 10684, 11140, 11323, 11394, 11495, 11825, 11844, 12298, 12388, 12448, 12459, 12505, 12915, 13043, 13098, 13169, 13363, 13398, 13475, 13600, 14073, 14185, 14280, 14818, 15130, 15138, 15173

Commentary

Parent-specific affine-gap alignment from the 100-point N=17000 movable-core code. Multiplier u=2791 satisfies 25u ≡ 1775 = 17000-15225 mod 17000. With translation t=9355, reduction to N=15225 gives 92 distinct candidates and 41 forbidden supports. Exact MILP keeps 79 points; unrestricted exact refill reaches 85.

last edited by Yongxi (Aaron) Lin at 2026-08-08 18:47:12 UTC · history

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