Ruzsa’s genus-one problem

witness #1712

N
39,690
|A|
117
exponent log |A| / log N
0.4497
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:11:11 UTC

Elements (117)

0, 1, 5, 6, 25, 28, 30, 81, 86, 675, 676, 680, 681, 700, 703, 705, 756, 761, 945, 946, 950, 951, 970, 973, 975, 1026, 1031, 17280, 17281, 17285, 17286, 17305, 17308, 17310, 17361, 17366, 18225, 18226, 18230, 18231, 18250, 18253, 18255, 18306, 18311, 22545, 22546, 22550, 22551, 22570, 22573, 22575, 22626, 22631, 22680, 22681, 22685, 22686, 22705, 22708, 22710, 22761, 22766, 23490, 23491, 23495, 23496, 23515, 23518, 23520, 23571, 23576, 23625, 23626, 23630, 23631, 23650, 23653, 23655, 23706, 23711, 28215, 28216, 28220, 28221, 28240, 28243, 28245, 28296, 28301, 28620, 28621, 28625, 28626, 28645, 28648, 28650, 28701, 28706, 29160, 29161, 29165, 29166, 29185, 29188, 29190, 29241, 29246, 29565, 29566, 29570, 29571, 29590, 29593, 29595, 29646, 29651

Commentary

Second-generation 27→135 branch. Raw A_5+5A_27 has size 8; upgrade to the size-9 record A_135, then take A_135 + 135 A_294.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:11:11 UTC · history

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