Ruzsa’s genus-one problem

witness #1915

N
2,114
|A|
28
exponent log |A| / log N
0.4352
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 02:37:41 UTC

Elements (28)

0, 1, 7, 8, 35, 36, 42, 43, 603, 605, 610, 612, 638, 640, 645, 647, 906, 909, 913, 916, 941, 944, 948, 951, 1211, 1218, 1246, 1253

Commentary

28-point member of a parameterized 7q digit-template family extracted from the N=1267 record. Writing x=uq+v, the fixed fibers are V0={0,1,7,8,35,36,42,43}, V2={-1,1,6,8,34,36,41,43}, V3={0,3,7,10,35,38,42,45}, V4={3,10,38,45}. The finite digit check has only diagonal solutions to V_a+3V_b-2V_c-2V_d=0 together with U_a+3U_b-2U_c-2U_d=0 mod 7; since |vertical error|<=184, this certifies all q>=185.

last edited by Yongxi (Aaron) Lin at 2026-08-09 02:37:41 UTC · history

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