Ruzsa’s genus-one problem

witness #3131

N
46,700
|A|
150
exponent log |A| / log N
0.4660
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:47:16 UTC

Elements (150)

0, 4, 9, 50, 54, 59, 125, 129, 134, 325, 329, 334, 400, 404, 409, 450, 454, 459, 5613, 5616, 5618, 5663, 5666, 5668, 5738, 5741, 5743, 5938, 5941, 5943, 6013, 6016, 6018, 6063, 6066, 6068, 7482, 7532, 7607, 7807, 7882, 7932, 9345, 9350, 9354, 9395, 9400, 9404, 9470, 9475, 9479, 9670, 9675, 9679, 9745, 9750, 9754, 9795, 9800, 9804, 14946, 14996, 15071, 15271, 15346, 15396, 16817, 16867, 16942, 17142, 17217, 17267, 18684, 18694, 18734, 18744, 18809, 18819, 19009, 19019, 19084, 19094, 19134, 19144, 24286, 24288, 24336, 24338, 24411, 24413, 24611, 24613, 24686, 24688, 24736, 24738, 26162, 26212, 26287, 26487, 26562, 26612, 33636, 33686, 33761, 33961, 34036, 34086, 35492, 35542, 35617, 35817, 35892, 35942, 37360, 37370, 37410, 37420, 37485, 37495, 37685, 37695, 37760, 37770, 37810, 37820, 42968, 42971, 42978, 43018, 43021, 43028, 43093, 43096, 43103, 43293, 43296, 43303, 43368, 43371, 43378, 43418, 43421, 43428, 44832, 44882, 44957, 45157, 45232, 45282

Commentary

Base-slide of witness 2061 (N=46225): write x = q*1849 + e with small signed offsets e (25 blocks) and re-map to x = q*1868 + e mod 46700.

last edited by David Renshaw at 2026-08-17 17:47:16 UTC · history

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