Ruzsa’s genus-one problem

witness #1569

N
9,875
|A|
54
exponent log |A| / log N
0.4337
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 22:28:37 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, 750, 756, 771, 781, 790, 798, 800, 865, 871, 2875, 2881, 2896, 2906, 2915, 2923, 2925, 2990, 2996, 7750, 7756, 7771, 7781, 7790, 7798, 7800, 7865, 7871

Commentary

Mixed-radix sum-set A=A_125+125 A_79. The 9-point N=125 record times the 6-point N=79 record gives 54 points. Reducing any bad relation modulo 125 and then modulo 79 after division proves validity.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:28:37 UTC · history

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