Ruzsa’s genus-one problem

witness #90469

N
43,775
|A|
169
exponent log |A| / log N
0.480021
status
current record for this modulus
submitted by
Bhavik Mehta
submitted at
2026-09-02 02:29:02 UTC

Elements (169)

0, 13, 1972, 1989, 1996, 2013, 2057, 2074, 2081, 2098, 2503, 2526, 2588, 2611, 4551, 4585, 4636, 4670, 5614, 5699, 6105, 6122, 6190, 6207, 7120, 7205, 7647, 7652, 7669, 7732, 7737, 7754, 8666, 8670, 8704, 8751, 8755, 8789, 11275, 11360, 14332, 14349, 14417, 14434, 14851, 14936, 15369, 15403, 15454, 15488, 15873, 15875, 15907, 15958, 15960, 15992, 17455, 17540, 19996, 20002, 20019, 20081, 20087, 20104, 22062, 22096, 22147, 22181, 23087, 23090, 23121, 23124, 23172, 23175, 23206, 23209, 23598, 23683, 24124, 24209, 24628, 24645, 24664, 24713, 24730, 24749, 25157, 25174, 25242, 25259, 26210, 26295, 28237, 28244, 28271, 28278, 28322, 28329, 28356, 28363, 28751, 28757, 28791, 28836, 28842, 28876, 30816, 30817, 30833, 30901, 30902, 30918, 31845, 31862, 31930, 31947, 32361, 32395, 32446, 32480, 32896, 32913, 32981, 32998, 33402, 33487, 33900, 33929, 33934, 33963, 33985, 34014, 34019, 34931, 34952, 34969, 35016, 35037, 35054, 36999, 37026, 37084, 37111, 37540, 37625, 39589, 39605, 39606, 39674, 39690, 39691, 40631, 40716, 41108, 41133, 41142, 41150, 41193, 41218, 41227, 41235, 42172, 42174, 42257, 42259, 42655, 42740, 43690, 43703

Commentary

169 elements found by tabu search, improving the previous 168.

last edited by Bhavik Mehta at 2026-09-02 02:29:02 UTC · history

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