Ruzsa’s genus-one problem

witness #3071

N
3,800
|A|
50
exponent log |A| / log N
0.4746
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:22:44 UTC

Elements (50)

0, 5, 19, 24, 25, 30, 299, 324, 754, 764, 779, 789, 1057, 1062, 1069, 1082, 1087, 1094, 1665, 1670, 1690, 1695, 1817, 1827, 1829, 1842, 1852, 1854, 2275, 2284, 2285, 2300, 2309, 2310, 2435, 2460, 2579, 2604, 3035, 3060, 3185, 3195, 3210, 3220, 3344, 3347, 3369, 3372, 3794, 3799

Commentary

Base-slide of the N=3775 record: write x = 755q + e (five blocks) with small signed offsets and re-map to x = 760q + e mod 3800. Verified by exhaustive ordered-quadruple count.

last edited by David Renshaw at 2026-08-17 17:22:44 UTC · history

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