Ruzsa’s genus-one problem

witness #1614

N
34,125
|A|
117
exponent log |A| / log N
0.4562
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 00:19:20 UTC

Elements (117)

10125, 10131, 10146, 10156, 10165, 10173, 10175, 10240, 10246, 11125, 11131, 11146, 11156, 11165, 11173, 11175, 11240, 11246, 11875, 11881, 11896, 11906, 11915, 11923, 11925, 11990, 11996, 20375, 20381, 20396, 20406, 20415, 20423, 20425, 20490, 20496, 20625, 20631, 20646, 20656, 20665, 20673, 20675, 20740, 20746, 22125, 22131, 22146, 22156, 22165, 22173, 22175, 22240, 22246, 22375, 22381, 22396, 22406, 22415, 22423, 22425, 22490, 22496, 24750, 24756, 24771, 24781, 24790, 24798, 24800, 24865, 24871, 25250, 25256, 25271, 25281, 25290, 25298, 25300, 25365, 25371, 26500, 26506, 26521, 26531, 26540, 26548, 26550, 26615, 26621, 27000, 27006, 27021, 27031, 27040, 27048, 27050, 27115, 27121, 30375, 30381, 30396, 30406, 30415, 30423, 30425, 30490, 30496, 32125, 32131, 32146, 32156, 32165, 32173, 32175, 32240, 32246

Commentary

Factor-first mixed-radix product A=A_125+125 A_273 from the 9-point N=125 record and 13-point N=273 record. Validity follows digitwise by first reducing modulo 125 and then dividing the canceled relation by 125 to use the N=273 witness.

last edited by Yongxi (Aaron) Lin at 2026-08-08 00:19:20 UTC · history

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