Ruzsa’s genus-one problem

witness #2061

N
46,225
|A|
150
exponent log |A| / log N
0.4665
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-09 12:31:38 UTC

Elements (150)

0, 4, 9, 50, 54, 59, 125, 129, 134, 325, 329, 334, 400, 404, 409, 450, 454, 459, 5556, 5559, 5561, 5606, 5609, 5611, 5681, 5684, 5686, 5881, 5884, 5886, 5956, 5959, 5961, 6006, 6009, 6011, 7406, 7456, 7531, 7731, 7806, 7856, 9250, 9255, 9259, 9300, 9305, 9309, 9375, 9380, 9384, 9575, 9580, 9584, 9650, 9655, 9659, 9700, 9705, 9709, 14794, 14844, 14919, 15119, 15194, 15244, 16646, 16696, 16771, 16971, 17046, 17096, 18494, 18504, 18544, 18554, 18619, 18629, 18819, 18829, 18894, 18904, 18944, 18954, 24039, 24041, 24089, 24091, 24164, 24166, 24364, 24366, 24439, 24441, 24489, 24491, 25896, 25946, 26021, 26221, 26296, 26346, 33294, 33344, 33419, 33619, 33694, 33744, 35131, 35181, 35256, 35456, 35531, 35581, 36980, 36990, 37030, 37040, 37105, 37115, 37305, 37315, 37380, 37390, 37430, 37440, 42531, 42534, 42541, 42581, 42584, 42591, 42656, 42659, 42666, 42856, 42859, 42866, 42931, 42934, 42941, 42981, 42984, 42991, 44376, 44426, 44501, 44701, 44776, 44826

Commentary

150-point exceptional member of a family extracted from the 3725 record: a 25-point core digit code tensored with the integer genus-one set {0,2,5,13,16,18}. This q=1849 case is valid below the stable threshold.

last edited by Yongxi (Aaron) Lin at 2026-08-09 12:31:38 UTC · history

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