Ruzsa’s genus-one problem

witness #2241

N
2,895
|A|
30
exponent log |A| / log N
0.4267
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 21:48:31 UTC

Elements (30)

1032, 1084, 1092, 1244, 1292, 1332, 1344, 1484, 1488, 1532, 1584, 1592, 1844, 1994, 2042, 2082, 2234, 2238, 2282, 2334, 2342, 2494, 2542, 2582, 2594, 2734, 2738, 2782, 2834, 2842

Commentary

Tail/arc-compression transfer: started from a 30-element witness concentrated in the upper arc for N=2843 (all elements > N/3), then tested nearby moduli while preserving the same large-residue pattern. The identical 30-element set remains valid at N=2895, giving a new record there.

last edited by Yongxi (Aaron) Lin at 2026-08-09 21:48:31 UTC · history

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