Ruzsa’s genus-one problem

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witness #143791

N
15,546
|A|
70
exponent log |A| / log N
0.440187
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-09-22 12:03:26 UTC

Elements (70)

0, 3, 19, 22, 122, 127, 141, 146, 399, 418, 520, 524, 539, 543, 914, 925, 933, 944, 1051, 1053, 1070, 1072, 1184, 1185, 1203, 1204, 1314, 1320, 1333, 1339, 1576, 1588, 1595, 1607, 1842, 1852, 1861, 1871, 2508, 2511, 2527, 2530, 2630, 2635, 2649, 2654, 2907, 2926, 3028, 3032, 3047, 3051, 3422, 3433, 3441, 3452, 3559, 3561, 3578, 3580, 3692, 3693, 3711, 3712, 3822, 3828, 3841, 3847, 4084, 4103

Commentary

Found in a 20-minute search around witness#93152 using transfers between nearby moduli, block shifts, and local remove/regrow search.

last edited by David Renshaw at 2026-09-22 12:03:26 UTC · history

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