Ruzsa’s genus-one problem

witness #143796

N
15,563
|A|
71
exponent log |A| / log N
0.441607
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-09-22 12:03:31 UTC

Elements (71)

665, 684, 934, 936, 953, 955, 1199, 1200, 1218, 1219, 1335, 1338, 1354, 1357, 1461, 1467, 1480, 1486, 1594, 1608, 1613, 1627, 1999, 2006, 2018, 2025, 2130, 2149, 2402, 2406, 2421, 2425, 2527, 2536, 2546, 2555, 3192, 3203, 3211, 3222, 3461, 3463, 3480, 3482, 3726, 3727, 3745, 3746, 3862, 3865, 3881, 3884, 3988, 3994, 4007, 4013, 4121, 4135, 4140, 4154, 4526, 4533, 4545, 4552, 4657, 4676, 4929, 4933, 4948, 4952, 5073

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 12:03:31 UTC · history

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