Ruzsa’s genus-one problem

witness #3128

N
46,650
|A|
150
exponent log |A| / log N
0.4661
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:47:09 UTC

Elements (150)

0, 4, 9, 50, 54, 59, 125, 129, 134, 325, 329, 334, 400, 404, 409, 450, 454, 459, 5607, 5610, 5612, 5657, 5660, 5662, 5732, 5735, 5737, 5932, 5935, 5937, 6007, 6010, 6012, 6057, 6060, 6062, 7474, 7524, 7599, 7799, 7874, 7924, 9335, 9340, 9344, 9385, 9390, 9394, 9460, 9465, 9469, 9660, 9665, 9669, 9735, 9740, 9744, 9785, 9790, 9794, 14930, 14980, 15055, 15255, 15330, 15380, 16799, 16849, 16924, 17124, 17199, 17249, 18664, 18674, 18714, 18724, 18789, 18799, 18989, 18999, 19064, 19074, 19114, 19124, 24260, 24262, 24310, 24312, 24385, 24387, 24585, 24587, 24660, 24662, 24710, 24712, 26134, 26184, 26259, 26459, 26534, 26584, 33600, 33650, 33725, 33925, 34000, 34050, 35454, 35504, 35579, 35779, 35854, 35904, 37320, 37330, 37370, 37380, 37445, 37455, 37645, 37655, 37720, 37730, 37770, 37780, 42922, 42925, 42932, 42972, 42975, 42982, 43047, 43050, 43057, 43247, 43250, 43257, 43322, 43325, 43332, 43372, 43375, 43382, 44784, 44834, 44909, 45109, 45184, 45234

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*1866 + e mod 46650.

last edited by David Renshaw at 2026-08-17 17:47:09 UTC · history

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