Ruzsa’s genus-one problem

witness #1622

N
17,350
|A|
100
exponent log |A| / log N
0.4718
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:24:27 UTC

Elements (100)

0, 12, 25, 37, 125, 137, 150, 162, 703, 704, 708, 709, 728, 729, 733, 734, 828, 829, 833, 834, 853, 854, 858, 859, 2091, 2116, 2216, 2241, 6945, 6947, 6950, 6952, 6970, 6972, 6975, 6977, 7070, 7072, 7075, 7077, 7095, 7097, 7100, 7102, 9026, 9046, 9051, 9071, 9151, 9171, 9176, 9196, 10417, 10420, 10432, 10435, 10442, 10445, 10457, 10460, 10542, 10545, 10557, 10560, 10567, 10570, 10582, 10585, 11113, 11114, 11123, 11129, 11138, 11139, 11148, 11154, 11238, 11239, 11248, 11254, 11263, 11264, 11273, 11279, 12501, 12516, 12526, 12541, 12626, 12641, 12651, 12666, 14589, 14593, 14614, 14618, 14714, 14718, 14739, 14743

Commentary

No-deletion affine compression of the 100-point N=17375 record #1621. A cut at a 2632-residue gap (u=1) yields a 100-point representative that remains valid modulo 17350.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:24:27 UTC · history

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