Ruzsa’s genus-one problem

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witness #1424

N: 13,195
|A|: 70
exponent log |A| / log N: 0.4478

status: current record for this modulus
submitted by: Yongxi (Aaron) Lin
submitted at: 2026-08-07 09:20:06 UTC

Elements (70)

0, 1, 5, 14, 26, 36, 44, 91, 92, 96, 105, 117, 127, 135, 455, 456, 460, 469, 481, 491, 499, 546, 547, 551, 560, 572, 582, 590, 2548, 2549, 2553, 2562, 2574, 2584, 2592, 2730, 2731, 2735, 2744, 2756, 2766, 2774, 3003, 3004, 3008, 3017, 3029, 3039, 3047, 3185, 3186, 3190, 3199, 3211, 3221, 3229, 7826, 7827, 7831, 7840, 7852, 7862, 7870, 8281, 8282, 8286, 8295, 8307, 8317, 8325

Commentary

Product construction S + m·U (91 × 145): solution-free sets compose multiplicatively across any factorization m·k.

last edited by Yongxi (Aaron) Lin at 2026-08-07 09:20:06 UTC · history

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