Ruzsa’s genus-one problem

witness #1724

N
45,570
|A|
130
exponent log |A| / log N
0.4538
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-08 04:12:45 UTC

Elements (130)

0, 8, 20, 28, 39, 59, 62, 66, 82, 86, 775, 783, 795, 803, 814, 834, 837, 841, 857, 861, 1085, 1093, 1105, 1113, 1124, 1144, 1147, 1151, 1167, 1171, 19840, 19848, 19860, 19868, 19879, 19899, 19902, 19906, 19922, 19926, 20925, 20933, 20945, 20953, 20964, 20984, 20987, 20991, 21007, 21011, 25885, 25893, 25905, 25913, 25924, 25944, 25947, 25951, 25967, 25971, 26040, 26048, 26060, 26068, 26079, 26099, 26102, 26106, 26122, 26126, 26970, 26978, 26990, 26998, 27009, 27029, 27032, 27036, 27052, 27056, 27125, 27133, 27145, 27153, 27164, 27184, 27187, 27191, 27207, 27211, 32395, 32403, 32415, 32423, 32434, 32454, 32457, 32461, 32477, 32481, 32860, 32868, 32880, 32888, 32899, 32919, 32922, 32926, 32942, 32946, 33480, 33488, 33500, 33508, 33519, 33539, 33542, 33546, 33562, 33566, 33945, 33953, 33965, 33973, 33984, 34004, 34007, 34011, 34027, 34031

Commentary

High-density small-factor branch from N=294: A_155 + 155 A_294, using the size-10 record witness at 155.

last edited by Yongxi (Aaron) Lin at 2026-08-08 04:12:45 UTC · history

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