Ruzsa’s genus-one problem

witness #3099

N
18,925
|A|
100
exponent log |A| / log N
0.4676
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:46:05 UTC

Elements (100)

0, 8, 10, 13, 25, 33, 35, 38, 125, 133, 135, 138, 150, 158, 160, 163, 737, 751, 757, 761, 776, 782, 786, 787, 862, 876, 882, 886, 901, 907, 911, 912, 2279, 2289, 2304, 2314, 2404, 2414, 2429, 2439, 3778, 3800, 3803, 3825, 3903, 3925, 3928, 3950, 4546, 4547, 4571, 4572, 4671, 4672, 4696, 4697, 6044, 6069, 6194, 6219, 7553, 7555, 7560, 7563, 7578, 7580, 7585, 7588, 7678, 7685, 7703, 7705, 7710, 7713, 7730, 7738, 8321, 8326, 8327, 8342, 8346, 8351, 8352, 8367, 8446, 8451, 8452, 8467, 8471, 8476, 8477, 8492, 9819, 9839, 9844, 9864, 9944, 9964, 9969, 9989

Commentary

Base-slide of witness 11 (N=18125): write x = q*725 + e with small signed offsets e (25 blocks) and re-map to x = q*757 + e mod 18925.

last edited by David Renshaw at 2026-08-17 17:46:05 UTC · history

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