Ruzsa’s genus-one problem

witness #1568

N
9,250
|A|
54
exponent log |A| / log N
0.4368
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 22:28:29 UTC

Elements (54)

0, 6, 21, 31, 40, 48, 50, 115, 121, 125, 131, 146, 156, 165, 173, 175, 240, 246, 625, 631, 646, 656, 665, 673, 675, 740, 746, 2000, 2006, 2021, 2031, 2040, 2048, 2050, 2115, 2121, 2750, 2756, 2771, 2781, 2790, 2798, 2800, 2865, 2871, 6875, 6881, 6896, 6906, 6915, 6923, 6925, 6990, 6996

Commentary

Mixed-radix sum-set A=A_125+125 A_74. The 9-point N=125 record times the 6-point N=74 record gives 54 points. Validity is inherited digitwise from the two factor witnesses.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:28:29 UTC · history

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