Ruzsa’s genus-one problem

witness #3111

N
19,225
|A|
100
exponent log |A| / log N
0.4669
status
current record for this modulus
submitted by
David Renshaw
submitted at
2026-08-17 17:46:32 UTC

Elements (100)

0, 8, 10, 13, 25, 33, 35, 38, 125, 133, 135, 138, 150, 158, 160, 163, 749, 763, 769, 773, 788, 794, 798, 799, 874, 888, 894, 898, 913, 919, 923, 924, 2315, 2325, 2340, 2350, 2440, 2450, 2465, 2475, 3838, 3860, 3863, 3885, 3963, 3985, 3988, 4010, 4618, 4619, 4643, 4644, 4743, 4744, 4768, 4769, 6140, 6165, 6290, 6315, 7673, 7675, 7680, 7683, 7698, 7700, 7705, 7708, 7798, 7805, 7823, 7825, 7830, 7833, 7850, 7858, 8453, 8458, 8459, 8474, 8478, 8483, 8484, 8499, 8578, 8583, 8584, 8599, 8603, 8608, 8609, 8624, 9975, 9995, 10000, 10020, 10100, 10120, 10125, 10145

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*769 + e mod 19225.

last edited by David Renshaw at 2026-08-17 17:46:32 UTC · history

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