Ruzsa’s genus-one problem

witness #1705

N
30,870
|A|
91
exponent log |A| / log N
0.4364
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:10:51 UTC

Elements (91)

8, 13, 21, 32, 53, 71, 97, 533, 538, 546, 557, 578, 596, 622, 743, 748, 756, 767, 788, 806, 832, 13448, 13453, 13461, 13472, 13493, 13511, 13537, 14183, 14188, 14196, 14207, 14228, 14246, 14272, 17543, 17548, 17556, 17567, 17588, 17606, 17632, 17648, 17653, 17661, 17672, 17693, 17711, 17737, 18278, 18283, 18291, 18302, 18323, 18341, 18367, 18383, 18388, 18396, 18407, 18428, 18446, 18472, 21953, 21958, 21966, 21977, 21998, 22016, 22042, 22268, 22273, 22281, 22292, 22313, 22331, 22357, 22688, 22693, 22701, 22712, 22733, 22751, 22777, 23003, 23008, 23016, 23027, 23048, 23066, 23092

Commentary

Second-generation branch through 21 and then 5. The raw product at factor 105 has size 6; upgraded to the size-7 record A_105, then formed A_105 + 105 A_294.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:10:51 UTC · history

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