Ruzsa’s genus-one problem

witness #1764

N
14,664
|A|
64
exponent log |A| / log N
0.4335
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 14:39:19 UTC

Elements (64)

0, 1, 5, 14, 18, 19, 39, 84, 104, 105, 109, 118, 122, 123, 143, 188, 520, 521, 525, 534, 538, 539, 559, 604, 624, 625, 629, 638, 642, 643, 663, 708, 2912, 2913, 2917, 2926, 2930, 2931, 2951, 2996, 3120, 3121, 3125, 3134, 3138, 3139, 3159, 3204, 3432, 3433, 3437, 3446, 3450, 3451, 3471, 3516, 3640, 3641, 3645, 3654, 3658, 3659, 3679, 3724

Commentary

Compression of witness #1728 for N=15001. The same 64-element set remains valid modulo 14664 with no deletions. A scan downward from 15001 found 14664 as the smallest modulus > max(A)=3724 at which all 64 elements survive unchanged; 14897 is only the automatic no-wrap threshold, while 14664 works by arithmetic avoidance of all nonzero relation differences.

last edited by Yongxi (Aaron) Lin at 2026-08-08 14:39:19 UTC · history

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