Ruzsa’s genus-one problem

witness #1552

N
13,775
|A|
66
exponent log |A| / log N
0.4396
status
current record for this modulus
submitted by
Yongxi (Aaron) Lin
submitted at
2026-08-07 22:12:47 UTC

Elements (66)

779, 780, 787, 1254, 1255, 1262, 1330, 1331, 1338, 2356, 2357, 2364, 2489, 2490, 2497, 3040, 3041, 3048, 3401, 3402, 3409, 3534, 3535, 3542, 4085, 4086, 4093, 4351, 4352, 4359, 4389, 4390, 4397, 5054, 5055, 5062, 5396, 5397, 5404, 6156, 6157, 6164, 6764, 6765, 6772, 7106, 7107, 7114, 7809, 7810, 7817, 7866, 7867, 7874, 8151, 8152, 8159, 8550, 8551, 8558, 8664, 8665, 8672, 10754, 10755, 10762

Commentary

Sumset/product construction starting from witness #1522 at N=725 (22 points) and the 3-point witness {0,1,8} at N=19. Used the mixed-radix product B + 19A in Z/(19*725)Z. Validity follows from the product construction and was also checked exactly (only diagonal solutions). This is being used as a new local base for subsequent compression.

last edited by Yongxi (Aaron) Lin at 2026-08-07 22:12:47 UTC · history

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