Ruzsa’s genus-one problem

witness #1553

N
28,392
|A|
104
exponent log |A| / log N
0.4529
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 22:17:17 UTC

Elements (104)

8424, 8425, 8429, 8438, 8442, 8443, 8463, 8508, 9256, 9257, 9261, 9270, 9274, 9275, 9295, 9340, 9880, 9881, 9885, 9894, 9898, 9899, 9919, 9964, 16952, 16953, 16957, 16966, 16970, 16971, 16991, 17036, 17160, 17161, 17165, 17174, 17178, 17179, 17199, 17244, 18408, 18409, 18413, 18422, 18426, 18427, 18447, 18492, 18616, 18617, 18621, 18630, 18634, 18635, 18655, 18700, 20592, 20593, 20597, 20606, 20610, 20611, 20631, 20676, 21008, 21009, 21013, 21022, 21026, 21027, 21047, 21092, 22048, 22049, 22053, 22062, 22066, 22067, 22087, 22132, 22464, 22465, 22469, 22478, 22482, 22483, 22503, 22548, 25272, 25273, 25277, 25286, 25290, 25291, 25311, 25356, 26728, 26729, 26733, 26742, 26746, 26747, 26767, 26812

Commentary

Sum-set lift from the N=104, |A|=8 seed using the compressed N=273, |B|=13 local maximum: C=A+104B in Z/(104*273)Z. This is the next point in the compression/sum-set chain 287,14 -> 273,13, then lift by the 104 seed.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:17:17 UTC · history

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